\input texinfo @c @c $Id$ @c @c @c TODO: @c Theorem dependencies, history in script and response, @c identifier info commands @c @c @setfilename ProofGeneral.info @settitle Proof General @setchapternewpage odd @paragraphindent 0 @iftex @afourpaper @end iftex @c @c Some URLs. @c FIXME: unfortunately, broken in buggy pdftexinfo. @c so removed for now. @set URLxsymbol http://x-symbol.sourceforge.net @set URLisamode http://proofgeneral.inf.ed.ac.uk/~isamode @set URLpghome https://proofgeneral.github.io @set URLpglatestrpm http://proofgeneral.inf.ed.ac.uk/ProofGeneral-latest.noarch.rpm @set URLpglatesttar http://proofgeneral.inf.ed.ac.uk/ProofGeneral-latest.tar.gz @set URLpglatestdev http://proofgeneral.inf.ed.ac.uk/ProofGeneral-devel-latest.tar.gz @c @c @c @c IMPORTANT NOTES ABOUT THIS TEXINFO FILE: @c I've tried keep full node lines *out* of this file because Emacs makes a @c mess of updating them and they are a nuisance to do by hand. @c Instead, rely on makeinfo and friends to do the equivalent job. @c For this to work, we must follow each node @c immediately with a section command, i.e.: @c @c @node node-name @c @c @c And each section with lower levels must have a menu command in @c it. Menu updating with Emacs is a bit better than node updating. @c @c LINE BREAKS: For html generated from this to look good, it is @c important that there are lots of line breaks/blank lines, esp @c after @enddefn's and similar. Otherwise text flows on the same @c paragraph but gets coloured wrongly with Netscape's handling of @c style sheets. @c @c reminder about references: @c @xref{node} blah start of sentence: See [ref] @c blah (@pxref{node}) blah bla (see [ref]), best at end of sentence @c @ref{node} without "see". Careful for info. @c @set version 4.5-git @set emacsversion 24.3 @set last-update September 2016 @set rcsid $Id$ @dircategory Theorem proving @direntry * ProofGeneral: (ProofGeneral). Organize your proofs with Emacs! @end direntry @c @c MACROS @c @c define one here for a command with a key-binding? @c @c I like the idea, but it's maybe against the TeXinfo @c style to fix together a command and its key-binding. @c @c merge functions and variables into concept index. @c @syncodeindex fn cp @c @syncodeindex vr cp @c merge functions into variables index @c @syncodeindex fn vr @finalout @titlepage @title Proof General @subtitle Organize your proofs! @sp 1 @subtitle User Manual for Proof General @value{version} @subtitle @value{last-update} @subtitle @b{proofgeneral.github.io} @iftex @vskip 1cm @image{ProofGeneral-image} @end iftex @author D. Aspinall, P. Courtieu, E. Martin-Dorel, C. Pit--Claudel, @author T. Kleymann, H. Goguen, D. Sequeira, M. Wenzel @page @vskip 0pt plus 1filll This manual and the program Proof General are Copyright @copyright{} 1998-2011 Proof General team, LFCS Edinburgh. @c @c COPYING NOTICE @c @ignore Permission is granted to process this file through TeX and print the results, provided the printed document carries copying permission notice identical to this one except for the removal of this paragraph (this paragraph not being relevant to the printed manual). @end ignore @sp 2 Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies. @sp 2 This manual documents Proof General, Version @value{version}, for use with GNU Emacs @value{emacsversion} or later versions (subject to Emacs API changes). Proof General is distributed under the terms of the GNU General Public License (GPL); please check the accompanying file @file{COPYING} for more details. @sp 1 Visit Proof General on the web at @code{https://proofgeneral.github.io} @sp 1 @c (commented; dates from CVS) @code{@value{rcsid}} @end titlepage @page @ifinfo @node Top @top Proof General This file documents version @value{version} of @b{Proof General}, a generic Emacs interface for proof assistants. Proof General @value{version} has been tested with GNU Emacs @value{emacsversion} on Linux. It is supplied ready to use for the proof assistants Coq, EasyCrypt, and PhoX. @menu * Preface:: * Introducing Proof General:: * Basic Script Management:: * Advanced Script Management and Editing:: * Unicode symbols and special layout support:: * Support for other Packages:: * Subterm Activation and Proof by Pointing:: * Graphical Proof-Tree Visualization:: * Customizing Proof General:: * Hints and Tips:: * LEGO Proof General:: * Coq Proof General:: * Isabelle Proof General:: * HOL Light Proof General:: * EasyCrypt Proof General:: * Shell Proof General:: @c * PhoX Proof General:: * Obtaining and Installing:: * Bugs and Enhancements:: * References:: * History of Proof General:: * Function Index:: * Variable Index:: * Keystroke Index:: * Concept Index:: @end menu @end ifinfo @node Preface @unnumbered Preface Welcome to Proof General! This preface has some news about the current release, future plans, and acknowledgements to those who have helped along the way. The appendix @ref{History of Proof General} contains old news about previous releases, and notes on the development of Proof General. Proof General has a home page at @uref{https://proofgeneral.github.io}. Visit this page for the latest version of this manual, other documentation, system downloads, etc. @menu * News for Version 4.4:: * News for Version 4.3:: * News for Version 4.2:: * News for Version 4.1:: * News for Version 4.0:: * Future:: * Credits:: @end menu @node News for Version 4.4 @unnumberedsec News for Version 4.4 @cindex news Proof General 4.4 is the first release since PG has moved to @uref{https://github.com/ProofGeneral/PG, GitHub}. This release contains several bugfixes and improvements (see the Git ChangeLog for more details) and supports both Coq 8.4 and Coq 8.5. @node News for Version 4.3 @unnumberedsec News for Version 4.3 @cindex news In Proof General version 4.3, the multiple file handling for Coq has been improved. It now supports asynchronous and parallel compilation of required modules. The proof tree display now supports the newest features of Coq 8.4. Proof General version 4.3 is compatible with Prooftree version 0.11 (or better). @node News for Version 4.2 @unnumberedsec News for Version 4.2 @cindex news Proof General version 4.2 adds the usual round of compatibility fixes, to support newer versions of Emacs and Coq. It also contains some updates to support HOL Light in a primitive fashion. It also contains a new mechanism to display proof trees, provided by Hendrik Tews and using a bespoke rendering application named @uref{http://askra.de/software/prooftree/, Prooftree}. @node News for Version 4.1 @unnumberedsec News for Version 4.1 @cindex news Proof General version 4.1 adds some compatibility fixes to Proof General 4.0, specifically for Coq version 8.3 and Isabelle 2011. It also contains a new implementation of multiple file handling for Coq provided by Hendrik Tews. @node News for Version 4.0 @unnumberedsec News for Version 4.0 @cindex news Proof General version 4.0 is a major overhaul of Proof General. The main changes are: @itemize @bullet @item support for GNU Emacs only, @b{you cannot use XEmacs any more}; @item a new @b{Unicode Tokens} mode, which now replaces X-Symbol, @pxref{Unicode symbols and special layout support}; @item to allow ``document centred'' working, annotating scripts with prover output and automatically sending commands to the prover, @pxref{Document centred working}; @item support for latest versions of provers (Isabelle2009-2 and Coq 8.2); @item numerous smaller enhancements and efficiency improvements. @end itemize See the @file{CHANGES} file in the distribution for more complete details of changes, and the appendix @ref{History of Proof General} for old news. @node Future @unnumberedsec Future @cindex Proof General Kit @cindex Future The aim of the Proof General project is to provide powerful environments and tools for interactive proof. Proof General has been Emacs based so far and uses heavy per-prover customisation. The @b{Proof General Kit} project proposes that proof assistants use a @i{standard} XML-based protocol for interactive proof, dubbed @b{PGIP}. PGIP will enable middleware for interactive proof tools and interface components. Rather than configuring Proof General for your proof assistant, you will need to configure your proof assistant to understand PGIP. There is a similarity however; the design of PGIP was based heavily on the Emacs Proof General framework. At the time of writing, the Proof General Kit software is in a prototype stage and the PGIP protocol is still being refined. We have a prototype Proof General plugin for the Eclipse IDE and a prototype version of a PGIP-enabled Isabelle. There is also a middleware component for co-ordinating proof written in Haskell, the @i{Proof General Broker}. Further collaborations are sought for more developments, especially the PGIP enabling of other provers. For more details, see @uref{http://proofgeneral.inf.ed.ac.uk/kit, the Proof General Kit webpage}. Help us to help you organize your proofs! @node Credits @unnumberedsec Credits @cindex @code{lego-mode} @cindex maintenance The original developers of the basis of Proof General were: @itemize @bullet @item @b{David Aspinall}, @item @b{Healfdene Goguen}, @item @b{Thomas Kleymann}, and @item @b{Dilip Sequeira}. @end itemize LEGO Proof General (the successor of @code{lego-mode}) was written by Thomas Kleymann and Dilip Sequeira. It is no longer maintained. @c @c It is presently maintained by David Aspinall and @c Paul Callaghan. @c Coq Proof General was written by Healfdene Goguen, with later contributions from Patrick Loiseleur. It is now maintained by Pierre Courtieu. @c Isabelle Proof General was written and is being maintained by David Aspinall. It has benefited greatly from tweaks and suggestions by Markus Wenzel, who wrote the first support for Isar and added Proof General support inside Isabelle. David von Oheimb supplied the original patches for X-Symbol support, which improved Proof General significantly. Christoph Wedler, the author of X-Symbol, provided much useful support in adapting his package for PG. The generic base for Proof General was developed by Kleymann, Sequeira, Goguen and Aspinall. It follows some of the ideas used in Project @uref{http://www.inria.fr/croap/,CROAP}. The project to implement a proof mode for LEGO was initiated in 1994 and coordinated until October 1998 by Thomas Kleymann, becoming generic along the way. In October 1998, the project became Proof General and has been managed by David Aspinall since then. This manual was written by David Aspinall and Thomas Kleymann, with words borrowed from user documentation of LEGO mode, prepared by Dilip Sequeira. Healfdene Goguen wrote some text for Coq Proof General. Since Proof General 2.0, this manual has been maintained by David Aspinall, with contributions from Pierre Courtieu, Markus Wenzel and Hendrik Tews. The Proof General project has benefited from (indirect) funding by EPSRC (@i{Applications of a Type Theory Based Proof Assistant} in the late 1990s and @i{The Integration and Interaction of Multiple Mathematical Reasoning Processes}, EP/E005713/1 (RA0084) in 2006-8), the EC (the Co-ordination Action @i{Types} and previous related projects), and the support of the LFCS. Version 3.1 was prepared whilst David Aspinall was visiting ETL, Japan, supported by the British Council. For Proof General 3.7, Graham Dutton helped with web pages and infrastructure; since then the the computing support team at the School of Informatics have given help. For testing and feedback for older versions of Proof General, thanks go to Rod Burstall, Martin Hofmann, and James McKinna, and several on the longer list below. For the Proof General 4.0 release, special thanks go to Stefan Monnier for patches and suggestions, to Makarius for many bug reports and help with Isabelle support and to Pierre Courtieu for providing new features for Coq support. Between Proof General 4.3 and 4.4 releases, the PG sources have been migrated from CVS to to GitHub; special thanks go to Clement Pit--Claudel for help in this migration. Proof General 4.4's new icons were contributed by Yoshihiro Imai (@uref{http://proofcafe.org/wiki/Generaltan}) under CC-BY-SA 3.0 (@uref{https://creativecommons.org/licenses/by-sa/3.0/}) @c FIXME: watch contributors here! During the development of Proof General 3.x and 4.x releases, many people helped provide testing and other feedback, including the Proof General maintainers, Paul Callaghan, Pierre Courtieu, and Markus Wenzel, Stefan Berghofer, Gerwin Klein, and other folk who tested pre-releases or sent bug reports and patches, including Cuihtlauac Alvarado, Esben Andreasen, Lennart Beringer, Pascal Brisset, James Brotherston, Martin Buechi, Pierre Casteran, Lucas Dixon, Erik Martin-Dorel, Matt Fairtlough, Ivan Filippenko, Georges Gonthier, Robin Green, Florian Haftmann, Kim Hyung Ho, Mark A. Hillebrand, Greg O'Keefe, Alex Krauss, Peter Lammich, Pierre Lescanne, John Longley, Erik Martin-Dorel, Assia Mahboubi, Adam Megacz, Stefan Monnier, Tobias Nipkow, Clement Pit--Claudel, Leonor Prensa Nieto, David von Oheimb, Lawrence Paulson, Paul Roziere, Randy Pollack, Robert R. Schneck, Norbert Schirmer, Sebastian Skalberg, Mike Squire, Hendrik Tews, Norbert Voelker, Tjark Weber, Mitsuharu Yamamoto. Thanks to all of you (and apologies to anyone missed)! @c ================================================================= @c @c CHAPTER: Introduction @c @node Introducing Proof General @chapter Introducing Proof General @cindex proof assistant @cindex Proof General @c would like the logo on the title page really but @c it doesn't seem to work there for html. @html [ Proof General logo ] @end html @dfn{Proof General} is a generic Emacs interface for interactive proof assistants,@footnote{A @dfn{proof assistant} is a computerized helper for developing mathematical proofs. For short, we sometimes call it a @dfn{prover}, although we always have in mind an interactive system rather than a fully automated theorem prover.} developed at the LFCS in the University of Edinburgh. You do not have to be an Emacs militant to use Proof General! The interface is designed to be very easy to use. You develop your proof script@footnote{A @dfn{proof script} is a sequence of commands which constructs a proof, usually stored in a file.} in-place rather than line-by-line and later reassembling the pieces. Proof General keeps track of which proof steps have been processed by the prover, and prevents you editing them accidently. You can undo steps as usual. The aim of Proof General is to provide a powerful and configurable interface for numerous interactive proof assistants. We target Proof General mainly at intermediate or expert users, so that the interface should be useful for large proof developments. Please help us! Send us comments, suggestsions, or (the best) patches to improve support for your chosen proof assistant. Contact us at @uref{https://github.com/ProofGeneral/PG/issues}. If your chosen proof assistant isn't supported, read the accompanying @i{Adapting Proof General} manual to find out how to configure PG for a new prover. @menu * Installing Proof General:: * Quick start guide:: * Features of Proof General:: * Supported proof assistants:: * Prerequisites for this manual:: * Organization of this manual:: @end menu @node Installing Proof General @section Installing Proof General If Proof General has not already been installed for you, you should unpack it and insert the line: @lisp (load "@var{proof-general-home}/generic/proof-site.el") @end lisp into your @file{~/.emacs} file, where @var{proof-general-home} is the top-level directory that was created when Proof General was unpacked. For much more information, @xref{Obtaining and Installing}. @node Quick start guide @section Quick start guide Once Proof General is correctly installed, the corresponding Proof General mode will be invoked automatically when you visit a proof script file for your proof assistant, for example: @multitable @columnfractions .35 .3 .35 @item @b{Prover} @tab @b{Extensions} @tab @b{Mode} @item LEGO @tab @file{.l} @tab @code{lego-mode} @item Coq @tab @file{.v} @tab @code{coq-mode} @item Isabelle @tab @file{.thy} @tab @code{isar-mode} @item Phox @tab @file{.phx} @tab @code{phox-mode} @item HOL98 @tab @file{.sml} @tab @code{hol98-mode} @item HOL Light @tab @file{.ml} @tab @code{hol-light-mode} @item ACL2 @tab @file{.acl2} @tab @code{acl2-mode} @item Twelf @tab @file{.elf} @tab @code{twelf-mode} @item Plastic @tab @file{.lf} @tab @code{plastic-mode} @item Lambda-CLAM @tab @file{.lcm} @tab @code{lclam-mode} @item CCC @tab @file{.ccc} @tab @code{ccc-mode} @item PG-Shell @tab @file{.pgsh} @tab @code{pgshell-mode} @item EasyCrypt @tab @file{.ec} @tab @code{easycrypt-mode} @end multitable (the exact list of Proof Assistants supported may vary according to the version of Proof General and its local configuration). You can also invoke the mode command directly, e.g., type @kbd{M-x lego-mode}, to turn a buffer into a lego script buffer. You'll find commands to process the proof script are available from the toolbar, menus, and keyboard. Type @kbd{C-h m} to get a list of the keyboard shortcuts for the current mode. The commands available should be easy to understand, but the rest of this manual describes them in some detail. The proof assistant itself is started automatically inside Emacs as an "inferior" process when you ask for some of the proof script to be processed. You can start the proof assistant manually with the menu command "Start proof assistant". To follow an example use of Proof General on a Isabelle proof, @pxref{Walkthrough example in Isabelle}. If you know the syntax for proof scripts in another theorem prover, you can easily adapt the details given there. @node Features of Proof General @section Features of Proof General @cindex Features @cindex Why use Proof General? Why would you want to use Proof General? @c FIXME: would like to keep this synched with web page, really. @c but web page needs extra markup. Proof General is designed to be useful for novices and expert users alike. It will be useful to you if you use a proof assistant, and you'd like an interface with the following features: simplified interaction, script management, multiple file scripting, a script editing mode, proof by pointing, proof-tree visualization, toolbar and menus, syntax highlighting, real symbols, functions menu, tags, and finally, adaptability. Here is an outline of some of these features. Look in the contents page or index of this manual to find out about the others! @itemize @bullet @item @i{Simplified interaction}@* Proof General is designed for proof assistants which have a command-line shell interpreter. When using Proof General, the proof assistant's shell is hidden from the user. Communication takes place via three buffers (Emacs text widgets). Communication takes place via three buffers. The @dfn{script buffer} holds input, the commands to construct a proof. The @dfn{goals buffer} displays the current list of subgoals to be solved. The @dfn{response buffer} displays other output from the proof assistant. By default, only two of these three buffers are displayed. This means that the user normally only sees the output from the most recent interaction, rather than a screen full of output from the proof assistant. Proof General does not commandeer the proof assistant shell: the user still has complete access to it if necessary. For more details, @pxref{Summary of Proof General buffers} and @pxref{Display customization}. @item @i{Script management}@* Proof General colours proof script regions blue when they have been processed by the prover, and colours regions red when the prover is currently processing them. The appearance of Emacs buffers always matches the proof assistant's state. Coloured parts of the buffer cannot be edited. Proof General has functions for @emph{asserting} or @emph{retracting} parts of a proof script, which alters the coloured regions. For more details, @pxref{Basic Script Management}, @ref{Script processing commands}, and @ref{Advanced Script Management and Editing}. @item @i{Script editing mode}@* Proof General provides useful facilities for editing proof scripts, including syntax hilighting and a menu to jump to particular goals, definitions, or declarations. Special editing functions send lines of proof script to the proof assistant, or undo previous proof steps. For more details, @pxref{Script editing commands}, and @ref{Script processing commands}. @item @i{Proof-tree visualization}@* In cooperation with the external program Prooftree (available from the @uref{http://askra.de/software/prooftree/, Prooftree website}), Proof General can display proof trees graphically and provide visual information about the proof status of different branches in a proof. The proof-tree display provides additional means for inspecting the proof tree and thus helps against loosing track in proofs. The graphical proof-tree visualization is currently only supported for Coq. For more details, @pxref{Graphical Proof-Tree Visualization}. @item @i{Toolbar and menus}@* A script buffer has a toolbar with navigation buttons for processing parts of the proof script. A menu provides further functions for operations in the proof assistant, as well as customization of Proof General. For more details, @pxref{Toolbar commands}, @ref{Proof assistant commands}, and @ref{Customizing Proof General}. @item @i{Proof by pointing}@* Proof General has support for proof-by-pointing and similar features. Proof by pointing allows you to click on a subterm of a goal to be proved, and automatically apply an appropriate proof rule or tactic. Proof by pointing is specific to the proof assistant (and logic) in use; therefore it is configured mainly on the proof assistant side. If you would like to see proof by pointing support for Proof General in a particular proof assistant, petition the developers of the proof assistant to provide it. @c Proof General expects to parse @c term-structure annotations on the output syntax of the prover. @c It uses these to construct a message to the prover indicating @c where the user has clicked, and the proof assistant can @c response with a suggested tactic. @end itemize @node Supported proof assistants @section Supported proof assistants Proof General comes ready-customized for several proof assistants, including these: @c FLAG VERSIONS HERE @itemize @bullet @item @b{LEGO Proof General} for LEGO Version 1.3.1@* @xref{LEGO Proof General}, for more details. @item @b{Coq Proof General} for Coq Version 8.2@* @xref{Coq Proof General}, for more details. @item @b{Isabelle Proof General} for Isabelle2009-2@* @xref{Isabelle Proof General}, and documentation supplied with Isabelle for more details. @c @item @c @b{PhoX Proof General} for PhoX 0.8X@* @c @xref{PhoX Proof General}, for more details. @c @item @c @b{HOL Proof General} for HOL98 (HOL4)@* @c @xref{HOL Proof General}, for more details. @item @b{HOL Light Proof General} for HOL Light@* @xref{HOL Light Proof General}, for more details. @item @b{EasyCrypt Proof General} for EasyCrypt@* @xref{EasyCrypt Proof General}, for mode details. @item @b{Shell Proof General} for shell scripts (not really a proof assistant!)@* @xref{Shell Proof General}, for more details. @end itemize Proof General is designed to be generic, so if you know how to write regular expressions, you can make: @itemize @bullet @item @b{Your Proof General} for your favourite proof assistant.@* For more details of how to make Proof General work with another proof assistant, see the accompanying manual @i{Adapting Proof General}. @end itemize The exact list of Proof Assistants supported may vary according to the version of Proof General you have and its local configuration; only the standard instances documented in this manual are listed above. Note that there is some variation between the features supported by different instances of Proof General. The main variation is proof by pointing, which is only supported in LEGO at the moment. For advanced features like this, some extensions to the output routines of the proof assistant are required, typically. If you like Proof General, @b{please help us by asking the implementors of your favourite proof assistant to support Proof General} as much as possible. @node Prerequisites for this manual @section Prerequisites for this manual @cindex Meta @cindex Alt @cindex key sequences This manual assumes that you understand a little about using Emacs, for example, switching between buffers using @kbd{C-x b} and understanding that a key sequence like @kbd{C-x b} means "control with x, followed by b". A key sequence like @kbd{M-z} means "meta with z". (@key{Meta} may be labelled @key{Alt} on your keyboard). The manual also assumes you have a basic understanding of your proof assistant and the language and files it uses for proof scripts. But even without this, Proof General is not useless: you can use the interface to @emph{replay} proof scripts for any proof assistant without knowing how to start it up or issue commands, etc. This is the beauty of a common interface mechanism. To get more from Proof General and adapt it to your liking, it helps to know a little bit about how Emacs lisp packages can be customized via the Customization mechanism. It's really easy to use. For details, @pxref{How to customize}. @inforef{Customization, ,emacs}, for documentation in Emacs. To get the absolute most from Proof General, to improve it or to adapt it for new provers, you'll need to know a little bit of Emacs lisp. Emacs is self-documenting, so you can begin from @kbd{C-h} and find out everything! Here are some useful commands: @table @asis @item @kbd{C-h i} @code{info} @item @kbd{C-h m} @code{describe-mode} @item @kbd{C-h b} @code{describe-bindings} @item @kbd{C-h f} @code{describe-function} @item @kbd{C-h v} @code{describe-variable} @end table @node Organization of this manual @section Organization of this manual This manual covers the user-level view and customization of Proof General. The accompanying @i{Adapting Proof General} manual considers adapting Proof General to new proof assistants, and documents some of the internals of Proof General. Three appendices of this manual contain some details about obtaining and installing Proof General and some known bugs. The contents of these final chapters is also covered in the files @file{INSTALL} and @file{BUGS} contained in the distribution. Refer to those files for the latest information. The manual concludes with some references and indexes. See the table of contents for full details. @c ================================================================= @c @c CHAPTER: Basic Script Management @c @node Basic Script Management @chapter Basic Script Management This chapter is an introduction to using the script management facilities of Proof General. We begin with a quick walkthrough example, then describe the concepts and functions in more detail. @menu * Walkthrough example in Isabelle:: * Proof scripts:: * Script buffers:: * Summary of Proof General buffers:: * Script editing commands:: * Script processing commands:: * Proof assistant commands:: * Toolbar commands:: * Interrupting during trace output:: @end menu @node Walkthrough example in Isabelle @section Walkthrough example in Isabelle Here's a short example in Isabelle to see how script management is used. The file you are asked to type below is included in the distribution as @file{isar/Example.thy}. If you're not using Isabelle, substitute some lines from a simple proof for your proof assistant, or consult the example file supplied with Proof General for your prover, called something like @file{foo/example.foo} for a proof assistant Foo. This walkthrough is keyboard based, but you could easily use the toolbar and menu functions instead. The best way to learn Emacs key bindings is by using the menus. You'll find the keys named below listed on the menus. @itemize @bullet @item First, start Emacs with Proof General loaded. According to how you have installed Proof General, this may be by typing @code{proofgeneral} in a terminal, selecting it from a menu, or simply by starting Emacs itself. @item Next, find a new file by @kbd{C-x C-f} and typing as the filename @file{Walkthrough.thy}. This should load Isabelle Proof General and the toolbar and Proof General menus will appear. You should have an empty buffer displayed. @end itemize The notation @kbd{C-x C-f} means control key with `x' followed by control key with `f'. This is a standard notation for Emacs key bindings, used throughout this manual. This function also appears on the @code{File} menu of Emacs. The remaining commands used will be on the @code{Proof-General} menu or toolbar. If you're not using Isabelle, you must choose a different file extension, appropriately for your proof assistant. If you don't know what to use, see the previous chapter for the list of supported assistants and file extensions. @itemize @bullet @item Turn on @dfn{electric terminator} by typing @kbd{C-c ;} and enter: @lisp theory Walkthrough imports Main begin; @end lisp This first command begins the definition of a new theory inside Isabelle, which extends the theory @code{Main}. (We're assuming that you have Isabelle/HOL available, which declares the @code{Main} theory. You should be able to see the list of installed logics in Isabelle on the @code{Logics} menu). @end itemize Electric terminator sends commands to the proof assistant as you type them. At the moment you type the semicolon, the @code{theory} command will be sent to Isabelle behind the scenes. First, there is a short delay while Isabelle is launched; you may see a welcome message. Then, you may notice that the command briefly is given an orange/pink background (or shown in inverse video if you don't have a colour display), before you see a window containing text like this: @lisp theory Walkthrough @end lisp which reflects the command just executed. @c = @c @{ProtoPure, CPure, HOL, Set, Typedef, Fun, Product_Type, Lfp, Gfp, @c Sum_Type, Relation, Record, Inductive, Transitive_Closure, @c Wellfounded_Recursion, Ring_and_Field, Nat, NatArith, Divides, Power, @c Finite_Set, Equiv, IntDef, Datatype_Universe, Datatype, Numeral, Bin, @c IntArith, Wellfounded_Relations, Recdef, IntDiv, NatBin, NatSimprocs, @c SetInterval, Presburger, Relation_Power, Parity, PreList, List, Map, @c Hilbert_Choice, Infinite_Set, Extraction, Refute, Main, #@} @c (Which gives you some idea of the theories that go to build up @code{Main}!). @c FIXME: explain window layouts a bit In this case of this first command, it is hard to see the orange/pink stage because the command is processed very quickly on modern machines. But in general, processing commands can take an arbitrary amount of time (or not terminate at all). For this reason, Proof General maintains a queue of commands which are sent one-by-one from the proof script. As Isabelle successfully processes commands in the queue, they will turn from the orange/pink colour into blue. The blue regions indicate text that has been read by the prover and should not be edited, to avoid confusion between what the prover has processed and what you are looking at. To enforce this (and avoid potentially expensive reprocessing) the blue region can be made read-only. This is controlled by the menu item: @lisp Proof-General -> Quick Options -> Read Only @end lisp The first option `Strict Read Only' was formerly the default for Proof General, and causes the blue region to be @i{locked}. Because of this, the term @dfn{locked region} term is used in Proof General documentation to mean the blue portion of the text which has been processed, although it is no longer locked by default. The current default is `Undo on Edit' which causes the prover to undo back to any user edits. So if you change a processed piece of text you will need to re-process it. The final option, `Freely Edit', allows you to freely edit the buffer without causing the prover to reprocess it. This can quickly lead to confusion and a loss of synchronization between what you are reading and what the prover has processed, so it is best used sparingly. Electric terminator mode is popular, but not enabled by default because of the principle of least surprise. Moreover, in Isabelle, the semicolon terminators are optional so proof scripts are usually written without them to avoid clutter. You'll notice that although you typed a semi-colon it was not included in the buffer! The electric terminator tries to be smart about comments and strings but sometimes it may be confused (e.g., adding a semi-colon inside an already written comment), or you may need to type several terminator commands together. In this case you can use the standard Emacs @b{quote next character}, typing @kbd{C-q ;} to quote the semi-colon. Alternatively you can use a prefix argument, as in @kbd{M-3 ;} to type three semi-colons. Without using electric terminator, you can trigger processing the text up to the current position of the point with the key @kbd{C-c C-RET}, or just up to the next command with @kbd{C-c C-n}. We show the rest of the example in Isabelle with semi-colons, but these will not appear in the final text. Coq, on the other hand, requires a full-stop terminator at the end of each line, so @kbd{C-c .} is the key binding used to turn on electric terminator. If you don't know what the terminator character is, you can find the option anyway on the menu: @code{Proof-General -> Quick Options -> Processing -> Electric Terminator} which also shows the key binding. If you want to use electric terminator, you can customize Proof General to enable it everytime if you want, @xref{Customizing Proof General}. For the common options, customization is easy: just use the menu item @code{Proof General -> Quick Options} to make your choices, and @code{Proof-General -> Quick Options -> Save Options} to save your choices. @itemize @bullet @item Next type on a new line: @lisp theorem my_theorem: "A & B --> B & A"; @end lisp @end itemize The goal we have set ourselves to prove should be displayed in the @i{goals buffer}. @c FIXME explain again @itemize @bullet @item Now type: @lisp proof assume "A & C"; @end lisp @end itemize This will update the goals buffer. But whoops! That was the wrong command, we typed @code{C} instead of @code{B}. @itemize @bullet @item Press @kbd{C-c C-BS} to pretend that didn't happen. @end itemize Note: @kbd{BS} means the backspace key. This key press sends an undo command to Isabelle, and deletes the @code{assume} command from the proof script. If you just want to undo without deleting, you can type @kbd{C-c C-u} instead, or use the left-arrow toolbar navigation button. @itemize @bullet @item Instead, let's try: @lisp assume "A & B"; @end lisp Which is better. @item From this assumption we can get @code{B} and @code{A} by the trivial step @code{..} which splits the assumption using an elimination step: @lisp then obtain B and A ..; @end lisp @item Finally, we establish the goal by the trivial step @code{..} again, which triggers an introduction rule: @lisp then show "B & A" ..; @end lisp @end itemize After this proof step, the message from Isabelle indicates that the proof has succeeded, so we can conclude the proof with the @code{qed} command. @itemize @bullet @item Finally, type: @lisp qed; @end lisp @end itemize This last command closes the proof and saves the proved theorem. Moving the mouse pointer over the qed command now reveals that the entire proof has been aggregated into a single segment (if you did this before, you would see highlighting of each command separately). @c This is no longer true! @c This reflects the fact that Isabelle has thrown away the history of the @c proof, so if we want to undo now, the whole proof must be retracted. @itemize @bullet @item Suppose we decide to call the theorem something more sensible. Move the cursor up into the locked region, somewhere between @samp{theorem} and @samp{qed}, enter @kbd{C-c C-RET}. @end itemize You see that the locked segment for the whole proof is now unlocked (and uncoloured): it is transferred back into the editing region. The command @kbd{C-c C-RET} moves the end of the locked region to the cursor position, or as near as possible above or below it, sending undoing commands or proof commands as necessary. In this case, the locked region will always be moved back to the end of the @code{theory} line, since that is the closest possible position to the cursor that appears before it. If you simply want to @i{retract} the whole file in one go, you can use the key @kbd{C-c C-r} (which corresponds to the up arrow on the toolbar), which will automatically move the cursor to the top of the file. @itemize @bullet @item Now improve the goal name, for example: @lisp theorem and_commutes: "A & B --> B & A" @end lisp You can swiftly replay the rest of the buffer now with @kbd{C-c C-b} (or the down arrow on the toolbar). @item At the end of the buffer, you may insert the command @lisp end @end lisp to complete the theory. @end itemize Notice that if you right-click on one of the highlighted regions in the blue area you will see a context menu for the region. This includes a ``show/hide'' option for @i{folding} a proof, as well as some editing commands for copying the region or rearranging its order in the processed text: ``move up/move down''. (These latter commands occasionally help you reorder text without needing to reprove it, although they risk breaking the proof!) @c da: no longer true with Isabelle2007 @c Note that once a theory is completed in Isabelle, you cannot undo into @c it, again because Isabelle discards the history of the theory's @c creation. Just like completed proofs, there is no option other than @c undoing the whole theory. To prevent you doing this inadvertently, @c however (maybe undoing many proofs which are time-consuming to replay), @c the @kbd{C-c C-u} or @kbd{C-c C-RET} commands will generate an error @c message, typically: @c @lisp @c *** Cannot undo "end" @c *** At command "cannot_undo". @c @end lisp @c If you really want to retract the theory for editing once more, you can @c use the key @kbd{C-c C-r} (which corresponds to the up arrow on the @c toolbar). Finally, once you are happy with your theory, you should save the file with @kbd{C-x C-s} before moving on to edit another file or exiting Emacs. If you forget to do this, Proof General or Emacs will surely prompt you sooner or later! @node Proof scripts @section Proof scripts @cindex proof script @cindex scripting A @dfn{proof script} is a sequence of commands which constructs definitions, declarations, theories, and proofs in a proof assistant. Proof General is designed to work with text-based @i{interactive} proof assistants, where the mode of working is usually a dialogue between the human and the proof assistant. Primitive interfaces for proof assistants simply present a @dfn{shell} (command interpreter) view of this dialogue: the human repeatedly types commands to the shell until the proof is completed. The system responds at each step, perhaps with a new list of subgoals to be solved, or perhaps with a failure report. Proof General manages the dialogue to show the human only the information which is relevant at each step. Often we want to keep a record of the proof commands used to prove a theorem, to build up a library of proved results. An easy way to store a proof is to keep a text file which contains a proof script; proof assistants usually provide facilities to read a proof script from a file instead of the terminal. Using the file, we can @dfn{replay} the proof script to prove the theorem again. @c Re-playing a proof script is a non-interactive procedure, @c since it is supposed to succeed. Using only a primitive shell interface, it can be tedious to construct proof scripts with cut-and-paste. Proof General helps out by issuing commands directly from a proof script file, while it is being written and edited. Proof General can also be used conveniently to replay a proof step-by-step, to see the progress at each stage. @c developing them in proof script files. @dfn{Scripting} is the process of building up a proof script file or replaying a proof. When scripting, Proof General sends proof commands to the proof assistant one at a time, and prevents you from editing commands which have been successfully completed by the proof assistant, to keep synchronization. Regions of the proof script are analysed based on their syntax and the behaviour of the proof assistant after each proof command. @node Script buffers @section Script buffers @cindex script buffer @cindex proof script mode A @dfn{script buffer} is a buffer displaying a proof script. Its Emacs mode is particular to the proof assistant you are using (but it inherits from @dfn{proof-mode}). A script buffer is divided into three regions: @emph{locked}, @emph{queue} and @emph{editing}. The proof commands in the script buffer can include a number of @emph{Goal-save sequences}. @menu * Locked queue and editing regions:: * Goal-save sequences:: * Active scripting buffer:: @end menu @node Locked queue and editing regions @subsection Locked, queue, and editing regions @cindex Locked region @cindex Queue region @cindex Editing region @cindex blue text @cindex pink text The three regions that a script buffer is divided into are: @c @itemize @bullet @item The @emph{locked} region, which appears in blue (underlined on monochrome displays) and contains commands which have been sent to the proof process and verified. The commands in the locked region cannot be edited. @item The @emph{queue} region, which appears in pink (inverse video) and contains commands waiting to be sent to the proof process. Like those in the locked region, these commands can't be edited. @item The @emph{editing} region, which contains the commands the user is working on, and can be edited as normal Emacs text. @end itemize These three regions appear in the buffer in the order above; that is, the locked region is always at the start of the buffer, and the editing region always at the end. The queue region only exists if there is input waiting to be processed by the proof process. Proof General has two fundamental operations which transfer commands between these regions: @emph{assertion} (or processing) and @emph{retraction} (or undoing). @cindex Assertion @strong{Assertion} causes commands from the editing region to be transferred to the queue region and sent one by one to the proof process. If the command is accepted, it is transferred to the locked region, but if an error occurs it is signalled to the user, and the offending command is transferred back to the editing region together with any remaining commands in the queue. Assertion corresponds to processing proof commands, and makes the locked region grow. @cindex Retraction @strong{Retraction} causes commands to be transferred from the locked region to the editing region (again via the queue region) and the appropriate 'undo' commands to be sent to the proof process. Retraction corresponds to undoing commands, and makes the locked region shrink. For details of the commands available for doing assertion and retraction, @xref{Script processing commands}. @node Goal-save sequences @subsection Goal-save sequences @cindex goal @cindex save @cindex goal-save sequences A proof script contains a sequence of commands used to prove one or more theorems. As commands in a proof script are transferred to the locked region, they are aggregated into segments which constitute the smallest units which can be undone. Typically a segment consists of a declaration or definition, or all the text from a @dfn{goal} command to the corresponding @dfn{save} (e.g. @code{qed}) command, or the individual commands in the proof of an unfinished goal. As the mouse moves over the the region, the segment containing the pointer will be highlighted. Proof General therefore assumes that the proof script has a series of proofs which look something like this: @lisp goal @var{mythm} is @var{G} @dots{} save theorem @var{mythm} @end lisp interspersed with comments, definitions, and the like. Of course, the exact syntax and terminology will depend on the proof assistant you use. The name @var{mythm} can appear in a menu for the proof script to help quickly find a proof (@pxref{Imenu and Speedbar}). @c Proof General recognizes the goal-save sequences in proof scripts. @c once a goal-save region has been fully processed by the proof assistant, @c it is treated as atomic when undoing proof steps. This reflects the @c fact that most proof assistants discard the history of a proof once a it @c is completed or once a new proof is begun. @node Active scripting buffer @subsection Active scripting buffer @cindex active scripting buffer You can edit as many script buffers as you want simultaneously, but only one buffer at a time can be used to process a proof script incrementally: this is the @dfn{active scripting buffer}. The active scripting buffer has a special indicator: the word @code{Scripting} appears in its mode line at the bottom of the screen. This is coloured to indicate the status: if it has a pink or blue background, the prover is processing the text (busy when pink). If it is in green, the buffer is completely processed. When you use a scripting command, it will automatically turn a buffer into the active scripting mode. You can also do this by hand, via the menu command 'Toggle Scripting' or the key @kbd{C-c C-s}. @table @asis @item @kbd{C-c C-s} @code{proof-toggle-active-scripting} @end table When active scripting mode is turned on, several things may happen to get ready for scripting (exactly what happens depends on which proof assistant you are using and some user settings). First, the proof assistant is started if it is not already running. Second, a command is sent to the proof assistant to change directory to the directory of the current buffer. If the current buffer corresponds to a file, this is the directory the file lives in. This is in case any scripting commands refer to files in the same directory as the script. The third thing that may happen is that you are prompted to save some unsaved buffers. This is in case any scripting commands may read in files which you are editing. Finally, some proof assistants may automatically read in files which the current file depends on implicitly. In Isabelle, for example, there is an implicit dependency between a @code{.ML} script file and a @code{.thy} theory file which defines its theory. If you have a partly processed scripting buffer and use @kbd{C-c C-s}, or you attempt to use script processing in a new buffer, Proof General will ask you if you want to retract what has been proved so far, @code{Scripting incomplete in buffer myproof.l, retract?} or if you want to process the remainder of the active buffer, @code{Completely process buffer myproof.l instead?} before you can start scripting in a new buffer. If you refuse to do either, Proof General will give an error message: @code{Cannot have more than one active scripting buffer!}. To turn off active scripting, the buffer must be completely processed (all blue), or completely unprocessed. There are two reasons for this. First, it would certainly be confusing if it were possible to split parts of a proof arbitrarily between different buffers; the dependency between the commands would be lost and it would be tricky to replay the proof.@footnote{Some proof assistants provide some level of support for switching between multiple concurrent proofs, but Proof General does not use this. Generally the exact context for such proofs is hard to define to easily split them into multiple files.} Second, we want to interface with file management in the proof assistant. Proof General assumes that a proof assistant may have a notion of which files have been processed, but that it will only record files that have been @i{completely} processed. For more explanation of the handling of multiple files, @xref{Switching between proof scripts}. @c TEXI DOCSTRING MAGIC: proof-toggle-active-scripting @deffn Command proof-toggle-active-scripting &optional arg Toggle active scripting mode in the current buffer.@* With @var{arg}, turn on scripting iff @var{arg} is positive. @end deffn @node Summary of Proof General buffers @section Summary of Proof General buffers @cindex shell buffer @cindex goals buffer @cindex response buffer @cindex proof by pointing Proof General manages several kinds of buffers in Emacs. Here is a summary of the different kinds of buffers you will use when developing proofs. @itemize @bullet @item The @dfn{proof shell buffer} is an Emacs shell buffer used to run your proof assistant. Usually it is hidden from view (but @pxref{Escaping script management}). Communication with the proof shell takes place via two or three intermediate buffers. @item A @dfn{script buffer}, as we have explained, is a buffer for editing a proof script. The @dfn{active scripting buffer} is the script buffer which is currently being used to send commands to the proof shell. @item The @dfn{goals buffer} displays the list of subgoals to be solved for a proof in progress. During a proof it is usually displayed together with the script buffer. The goals buffer has facility for @dfn{proof-by-pointing}. @item The @dfn{response buffer} displays other output from the proof assistant, for example error messages or informative messages. The response buffer is displayed whenever Proof General puts a new message in it. @item The @dfn{trace buffer} is a special version of the response buffer. It may be used to display unusual debugging output from the prover, for example, tracing proof tactics or rewriting procedures. This buffer is also displayed whenever Proof General puts a new message in it (although it may be quickly replaced with the response or goals buffer in two-buffer mode). @end itemize Normally Proof General will automatically reveal and hide the goals and response buffers as necessary during scripting. However there are ways to customize the way the buffers are displayed, for example, to prevent auxiliary buffers being displayed at all (@pxref{Display customization}). The menu @code{Proof General -> Buffers} provides a convenient way to display or switch to a Proof General buffer: the active scripting buffer; the goal or response buffer; the tracing buffer; or the shell buffer. Another command on this menu, @code{Clear Responses}, clears the response and tracing buffer. @node Script editing commands @section Script editing commands Proof General provides a few functions for editing proof scripts. The generic functions mainly consist of commands to navigate within the script. Specific proof assistant code may add more to these basics. @findex indent-for-tab-command @vindex proof-script-indent Indentation is controlled by the user option @code{proof-script-indent} (@pxref{User options}). When indentation is enabled, Proof General will indent lines of proof script with the usual Emacs functions, particularly @kbd{TAB}, @code{indent-for-tab-command}. @c FIXME: remove when indentation is fixed. Unfortunately, indentation in Proof General @value{version} is somewhat slow. Therefore with large proof scripts, we recommend @code{proof-script-indent} is turned off. Here are the commands for moving around in a proof script, with their default key-bindings: @kindex C-c C-a @kindex C-c C-e @kindex C-c C-. @table @kbd @item C-c C-a @code{proof-goto-command-start} @item C-c C-e @code{proof-goto-command-end} @item C-c C-. @code{proof-goto-end-of-locked} @end table @c TEXI DOCSTRING MAGIC: proof-goto-command-start @deffn Command proof-goto-command-start Move point to start of current (or final) command of the script. @end deffn @c TEXI DOCSTRING MAGIC: proof-goto-command-end @deffn Command proof-goto-command-end Set point to end of command at point. @end deffn @vindex proof-terminal-string The variable @code{proof-terminal-string} is a prover-specific string to terminate proof commands. LEGO and Isabelle use a semicolon, @samp{;}. Coq employs a full-stop @samp{.}. @c TEXI DOCSTRING MAGIC: proof-goto-end-of-locked @deffn Command proof-goto-end-of-locked &optional switch Jump to the end of the locked region, maybe switching to script buffer.@* If called interactively or @var{switch} is non-nil, switch to script buffer. If called interactively, a mark is set at the current location with @samp{@code{push-mark}} @end deffn @c PG4: this is not available at the moment @c @c During the course of a large proof, it may be useful to copy previous @c commands. As you move the mouse over previous portions of the script, @c you'll notice that each proof command is highlighted individually. @c (Once a goal...save sequence is ``closed'', the whole sequence is @c highlighted). There is a useful mouse binding for copying the @c highlighted command under the mouse: @c @kindex C-button1 @c @table @kbd @c @item C-button1 @c @code{proof-mouse-track-insert} @c @end table @c @c DOCSTRING MAGIC: proof-mouse-track-insert @c @deffn Command proof-mouse-track-insert event @c Copy highlighted command under mouse @var{event} to point. Ignore comments.@* @c If there is no command under the mouse, behaves like mouse-track-insert. @c @end deffn @c Read the documentation in Emacs to find out about the normal behaviour @c of @code{proof-mouse-track-insert}, if you don't already know what it @c does. @node Script processing commands @section Script processing commands @kindex C-c C-n @kindex C-c C-u @kindex C-c C-BS @kindex C-c C-b @kindex C-c C-r @kindex C-c C-RET @cindex prefix argument Here are the commands for asserting and retracting portions of the proof script, together with their default key-bindings. Sometimes assertion and retraction commands can only be issued when the queue is empty. You will get an error message @code{Proof Process Busy!} if you try to assert or retract when the queue is being processed.@footnote{In fact, this is an unnecessary restriction imposed by the original design of Proof General. There is nothing to stop future versions of Proof General allowing the queue region to be extended or shrunk, whilst the prover is processing it. Proof General 3.0 already relaxes the original design, by allowing successive assertion commands without complaining.} @table @kbd @item C-c C-n @code{proof-assert-next-command-interactive} @item C-c C-u @code{proof-undo-last-successful-command} @item C-c C-BS @code{proof-undo-and-delete-successful-command} @item C-c C-RET @code{proof-goto-point} @item C-c C-b @code{proof-process-buffer} @item C-c C-r @code{proof-retract-buffer} @item C-c @var{terminator-character} @code{proof-electric-terminator-toggle} @end table The last command, @code{proof-electric-terminator-toggle}, is triggered using the character which terminates proof commands for your proof assistant's script language. For LEGO and Isabelle, use @kbd{C-c ;}, for Coq, use @kbd{C-c .}. This not really a script processing command. Instead, if enabled, it causes subsequent key presses of @kbd{;} or @kbd{.} to automatically activate @code{proof-assert-next-command-interactive} for convenience. Rather than use a file command inside the proof assistant to read a proof script, a good reason to use @kbd{C-c C-b} (@code{proof-process-buffer}) is that with a faulty proof script (e.g., a script you are adapting to prove a different theorem), Proof General will stop exactly where the proof script fails, showing you the error message and the last processed command. So you can easily continue development from exactly the right place in the script. Here is the full set of script processing commands. @c TEXI DOCSTRING MAGIC: proof-assert-next-command-interactive @deffn Command proof-assert-next-command-interactive Process until the end of the next unprocessed command after point.@* If inside a comment, just process until the start of the comment. @end deffn @c TEXI DOCSTRING MAGIC: proof-undo-last-successful-command @deffn Command proof-undo-last-successful-command Undo last successful command at end of locked region. @end deffn @c TEXI DOCSTRING MAGIC: proof-undo-and-delete-last-successful-command @deffn Command proof-undo-and-delete-last-successful-command Undo and delete last successful command at end of locked region.@* Useful if you typed completely the wrong command. Also handy for proof by pointing, in case the last proof-by-pointing command took the proof in a direction you don't like. Notice that the deleted command is put into the Emacs kill ring, so you can use the usual @samp{yank} and similar commands to retrieve the deleted text. @end deffn @c TEXI DOCSTRING MAGIC: proof-goto-point @deffn Command proof-goto-point Assert or retract to the command at current position.@* Calls @samp{@code{proof-assert-until-point}} or @samp{@code{proof-retract-until-point}} as appropriate. @end deffn @c TEXI DOCSTRING MAGIC: proof-process-buffer @deffn Command proof-process-buffer Process the current (or script) buffer, and maybe move point to the end. @end deffn @c TEXI DOCSTRING MAGIC: proof-retract-buffer @deffn Command proof-retract-buffer &optional called-interactively Retract the current buffer, and maybe move point to the start.@* Point is only moved according to @samp{@code{proof-follow-mode}}, if @var{called-interactively} is non-nil, which is the case for all interactive calls. @end deffn @c TEXI DOCSTRING MAGIC: proof-electric-terminator-toggle @deffn Command proof-electric-terminator-toggle &optional arg Toggle @samp{@code{proof-electric-terminator-enable}}. With @var{arg}, turn on iff ARG>0.@* This function simply uses @code{customize-set-variable} to set the variable. @end deffn @c TEXI DOCSTRING MAGIC: proof-assert-until-point-interactive @deffn Command proof-assert-until-point-interactive Process the region from the end of the locked-region until point.@* If inside a comment, just process until the start of the comment. @end deffn @c TEXI DOCSTRING MAGIC: proof-retract-until-point-interactive @deffn Command proof-retract-until-point-interactive &optional delete-region Tell the proof process to retract until point.@* If invoked outside a locked region, undo the last successfully processed command. If called with a prefix argument (@var{delete-region} non-nil), also delete the retracted region from the proof-script. @end deffn As experienced Emacs users will know, a @i{prefix argument} is a numeric argument supplied by some key sequence typed before a command key sequence. You can supply a specific number by typing @key{Meta} with the digits, or a ``universal'' prefix of @kbd{C-u}. See @inforef{Arguments, ,emacs} for more details. Several Proof General commands, like @code{proof-retract-until-point-interactive}, may accept a @i{prefix argument} to adjust their behaviour somehow. @node Proof assistant commands @section Proof assistant commands @kindex C-c C-p @kindex C-c C-h @kindex C-c C-c @kindex C-c C-v @kindex C-c C-f @kindex C-c C-t There are several commands for interacting with the proof assistant and Proof General, which do not involve the proof script. Here are the key-bindings and functions. @table @kbd @item C-c C-l @code{proof-display-some-buffers} @item C-c C-p @code{proof-prf} @item C-c C-t @code{proof-ctxt} @item C-c C-h @code{proof-help} @item C-c C-i @code{proof-query-identifier} @item C-c C-f @code{proof-find-theorems} @item C-c C-w @code{pg-response-clear-displays} @item C-c C-c @code{proof-interrupt-process} @item C-c C-v @code{proof-minibuffer-cmd} @item C-c C-s @code{proof-shell-start} @item C-c C-x @code{proof-shell-exit} @end table @c TEXI DOCSTRING MAGIC: proof-display-some-buffers @deffn Command proof-display-some-buffers Display the reponse, trace, goals, or shell buffer, rotating.@* A fixed number of repetitions of this command switches back to the same buffer. Also move point to the end of the response buffer if it's selected. If in three window or multiple frame mode, display two buffers. The idea of this function is to change the window->buffer mapping without adjusting window layout. @end deffn @c TEXI DOCSTRING MAGIC: proof-prf @deffn Command proof-prf Show the current proof state.@* Issues a command to the assistant based on @code{proof-showproof-command}. @end deffn @c TEXI DOCSTRING MAGIC: proof-ctxt @deffn Command proof-ctxt Show the current context.@* Issues a command to the assistant based on @code{proof-context-command}. @end deffn @c TEXI DOCSTRING MAGIC: proof-help @deffn Command proof-help Show a help or information message from the proof assistant.@* Typically, a list of syntax of commands available. Issues a command to the assistant based on @code{proof-info-command}. @end deffn @c TEXI DOCSTRING MAGIC: proof-query-identifier @deffn Command proof-query-identifier string Query the prover about the identifier @var{string}.@* If called interactively, @var{string} defaults to the current word near point. @end deffn @c TEXI DOCSTRING MAGIC: proof-find-theorems @deffn Command proof-find-theorems arg Search for items containing given constants.@* Issues a command based on @var{arg} to the assistant, using @code{proof-find-theorems-command}. The user is prompted for an argument. @end deffn @c TEXI DOCSTRING MAGIC: pg-response-clear-displays @deffn Command pg-response-clear-displays Clear Proof General response and tracing buffers.@* You can use this command to clear the output from these buffers when it becomes overly long. Particularly useful when @samp{@code{proof-tidy-response}} is set to nil, so responses are not cleared automatically. @end deffn @c TEXI DOCSTRING MAGIC: proof-interrupt-process @deffn Command proof-interrupt-process Interrupt the proof assistant. Warning! This may confuse Proof General. This sends an interrupt signal to the proof assistant, if Proof General thinks it is busy. This command is risky because we don't know whether the last command succeeded or not. The assumption is that it didn't, which should be true most of the time, and all of the time if the proof assistant has a careful handling of interrupt signals. Some provers may ignore (and lose) interrupt signals, or fail to indicate that they have been acted upon yet stop in the middle of output. In the first case, PG will terminate the queue of commands at the first available point. In the second case, you may need to press enter inside the prover command buffer (e.g., with Isabelle@var{2009} press RET inside @strong{isabelle}). @end deffn @c TEXI DOCSTRING MAGIC: proof-minibuffer-cmd @deffn Command proof-minibuffer-cmd cmd Send @var{cmd} to proof assistant. Interactively, read from minibuffer.@* The command isn't added to the locked region. If a prefix arg is given and there is a selected region, that is pasted into the command. This is handy for copying terms, etc from the script. If @samp{@code{proof-strict-state-preserving}} is set, and @samp{@code{proof-state-preserving-p}} is configured, then the latter is used as a check that the command will be safe to execute, in other words, that it won't ruin synchronization. If when applied to the command it returns false, then an error message is given. @var{warning}: this command risks spoiling synchronization if the test @samp{@code{proof-state-preserving-p}} is not configured, if it is only an approximate test, or if @samp{@code{proof-strict-state-preserving}} is off (nil). @end deffn As if the last two commands weren't risky enough, there's also a command which explicitly adjusts the end of the locked region, to be used in extreme circumstances only. @xref{Escaping script management}. There are a few commands for starting, stopping, and restarting the proof assistant process. The first two have key bindings but restart does not. As with any Emacs command, you can invoke these with @kbd{M-x} followed by the command name. @c TEXI DOCSTRING MAGIC: proof-shell-start @deffn Command proof-shell-start Initialise a shell-like buffer for a proof assistant.@* Does nothing if proof assistant is already running. Also generates goal and response buffers. If @samp{@code{proof-prog-name-ask}} is set, query the user for the process command. @end deffn @c TEXI DOCSTRING MAGIC: proof-shell-exit @deffn Command proof-shell-exit &optional dont-ask Query the user and exit the proof process. This simply kills the @samp{@code{proof-shell-buffer}} relying on the hook function @samp{@code{proof-shell-kill-function}} to do the hard work. If optional argument @var{dont-ask} is non-nil, the proof process is terminated without confirmation. The kill function uses @samp{-quit-timeout} as a timeout to wait after sending @samp{@code{proof-shell-quit-cmd}} before rudely killing the process. This function should not be called if @samp{@code{proof-shell-exit-in-progress}} is t, because a recursive call of @samp{@code{proof-shell-kill-function}} will give strange errors. @end deffn @c TEXI DOCSTRING MAGIC: proof-shell-restart @deffn Command proof-shell-restart Clear script buffers and send @samp{@code{proof-shell-restart-cmd}}.@* All locked regions are cleared and the active scripting buffer deactivated. If the proof shell is busy, an interrupt is sent with @samp{@code{proof-interrupt-process}} and we wait until the process is ready. The restart command should re-synchronize Proof General with the proof assistant, without actually exiting and restarting the proof assistant process. It is up to the proof assistant how much context is cleared: for example, theories already loaded may be "cached" in some way, so that loading them the next time round only performs a re-linking operation, not full re-processing. (One way of caching is via object files, used by Lego and Coq). @end deffn @node Toolbar commands @section Toolbar commands The toolbar provides a selection of functions for asserting and retracting portions of the script, issuing non-scripting commands to inspect the prover's state, and inserting "goal" and "save" type commands. The latter functions are not available on keys, but are available from the from the menu, or via @kbd{M-x}, as well as the toolbar. @c TEXI DOCSTRING MAGIC: proof-issue-goal @deffn Command proof-issue-goal arg Write a goal command in the script, prompting for the goal.@* Issues a command based on @var{arg} to the assistant, using @code{proof-goal-command}. The user is prompted for an argument. @end deffn @c TEXI DOCSTRING MAGIC: proof-issue-save @deffn Command proof-issue-save arg Write a save/qed command in the script, prompting for the theorem name.@* Issues a command based on @var{arg} to the assistant, using @code{proof-save-command}. The user is prompted for an argument. @end deffn @node Interrupting during trace output @section Interrupting during trace output If your prover generates output which is recognized as tracing output in Proof General, you may need to know about a special provision for interrupting the prover process. @c % If the trace output is voluminous, perhaps looping, it may be difficult to interrupt with the ordinary @kbd{C-c C-c} (@code{proof-interrupt-process}) or the corresponding button/menu. In this case, you should try Emacs's @b{quit key}, @kbd{C-g}. This will cause a quit in any current editing commands, as usual, but during tracing output it will also send an interrupt signal to the prover. Hopefully this will stop the tracing output, and Emacs should catch up after a short delay. Here's an explanation of the reason for this special provision. When large volumes of output from the prover arrive quickly in Emacs, as typically is the case during tracing (especially tracing looping tactics!), Emacs may hog the CPU and spend all its time updating the display with the trace output. This is especially the case when features like output fontification and token display are active. If this happens, ordinary user input in Emacs is not processed, and it becomes difficult to do normal editing. The root of the problem is that Emacs runs in a single thread, and pending process output is dealt with before pending user input. Whether or not you see this problem depends partly on the processing power of your machine (or CPU available to Emacs when the prover is running). One way to test is to start an Emacs shell with @kbd{M-x shell} and type a command such as @code{yes} which produces output indefinitely. Now see if you can interrupt the process! (Warning --- on slower machines especially, this can cause lockups, so use a fresh Emacs.) @c ================================================================= @c @c CHAPTER: Advanced Script Management @c @node Advanced Script Management and Editing @chapter Advanced Script Management and Editing @cindex Multiple Files If you are working with large proof developments, you may want to know about the advanced script management and editing features of Proof General covered in this chapter. @menu * Document centred working:: * Automatic processing:: * Visibility of completed proofs:: * Switching between proof scripts:: * View of processed files :: * Retracting across files:: * Asserting across files:: * Automatic multiple file handling:: * Escaping script management:: * Editing features:: @end menu @node Document centred working @section Document centred working @cindex annotation Proof scripts can be annotated with the output produced by the prover while they are checked. By hovering the mouse on the completed regions you can see any output that was produced when they were checked. Depending on the proof language (it works well with declarative languages), this may enable a ``document centred'' way of working, where you may not need to keep a separate window open for displaying prover output. This way of working is controlled by several settings. To help configure things appropriately for document-centred working, there are two short-cut commands: @lisp Proof-General -> Quick Options -> Display -> Document Centred Proof-General -> Quick Options -> Display -> Default @end lisp which change settings appropriately between a document centred mode and the original classic Proof General behaviour and appearance. The first command also engages automatic processing of the whole buffer, explained in the following section further below. The behaviour can be fine-tuned with the individual settings. Starting with the classic settings, first, you may select @lisp Proof-General -> Quick Options -> Processing -> Full Annotations @end lisp to ensure that the details are recorded in the script. This is not the default because it can cause long sequences of commands to execute more slowly as the output is collected from the prover eagerly when the commands are executed, and printing can be be slow for large and complex expressions. It also increases the space requirements for Emacs buffers. However, when interactively developing smaller files, it is very useful. Next, you may @i{de}select @lisp Proof-General -> Quick Options -> Display -> Auto Raise @end lisp which will prevent the prover output being eagerly displayed. You can still manually arrange your Emacs windows and frames to ensure the output buffers are present if you want. You may like to @i{de}select @lisp Proof General -> Quick Options -> Display -> Colour Locked @end lisp to prevent highlighting of the locked region. This text which has been checked and that which has not is less obvious, but you can see the position of the next command to be processed with the marker. If you have no colouring on the locked region, it can be hard to see where processing has got to. Look for the ``overlay marker'', a triangle in the left-hand fringe of the display, to see which line processing has stopped at. If it has stopped on a region with an error, you might want to see that. You can select @lisp Proof-General -> Quick Options -> Display -> Sticky Errors @end lisp to add a higlight for regions which did not successfully process on the last attempt. Whenever the region is edited, the highlight is removed. Finally, you may want to ensure that @lisp Proof-General -> Quick Options -> Read Only -> Undo On Edit @end lisp is selected. Undo on edit is a setting for the @code{proof-strict-read-only} variable. This allows you to freely edit the processed region, but first it automatically retracts back to the point of the edit. Comments can be edited freely without retraction. The configuration variables controlled by the above menu items can be customized as Emacs variables. The two settings which control interaction with the prover are @code{proof-full-annotation} and @code{proof-strict-read-only}. Note that you can also record the history of output from the prover @i{without} adding mouse hovers to the script. This is controlled by @code{proof-output-tooltips} which is also on the Display menu in Quick Options. @xref{Display customization}, for more information about customizing display options. @c TEXI DOCSTRING MAGIC: proof-full-annotation @defopt proof-full-annotation Non-nil causes Proof General to record output for all proof commands.@* Proof output is recorded as it occurs interactively; normally if many steps are taken at once, this output is suppressed. If this setting is used to enable it, the proof script can be annotated with full details. See also @samp{@code{proof-output-tooltips}} to enable automatic display of output on mouse hovers. The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: proof-strict-read-only @defopt proof-strict-read-only Whether Proof General is strict about the read-only region in buffers.@* If non-nil, an error is given when an attempt is made to edit the read-only region, except for the special value @code{'retract} which means undo first. If nil, Proof General is more relaxed (but may give you a reprimand!). The default value is @code{retract}. @end defopt @node Automatic processing @section Automatic processing @cindex Automatic processing @cindex autosend @vindex proof-autosend-enable If you like making your hair stand on end, the electric terminator mode is probably not enough. Proof General has another feature that will automatically send text to the prover, while you aren't looking. Enabling @lisp Proof-General -> Quick Options -> Processing -> Process Automatically @end lisp Causes Proof General to start processing text when Emacs is idle for a while. You can choose either to send just the next command beyond the point, or the whole buffer. See @lisp Proof-General -> Quick Options -> Processing -> Automatic Processing Mode @end lisp for the choices. The text will be sent in a fast loop that processes more quickly than @kbd{C-c C-b} (i.e., @code{proof-process-buffer}, the down toolbar button), but ignores user input and doesn't update the display. But the feature tries to be non-intrusive to the user: if you start to type something or use the mouse, the fast loop will be interrupted and revert to a slower interactive loop with display updates. In the check next command mode, the successfully checked region will briefly flash up as green to indicate it is okay. You can use @kbd{C-c C-.} (@code{proof-goto-end-of-locked}) to find out where processing got to, as usual. Text is only sent if the last interactive command processed some text (i.e., wasn't an undo step backwards into the buffer) and processing didn't stop with an error. To start automatic processing again after an error, simply hit @kbd{C-c C-n} after editing the buffer. To turn the automatic processing on or off from the keyboard, you can use the keybinding: @table @kbd @item C-c > @code{proof-autosend-toggle} @end table @c TEXI DOCSTRING MAGIC: proof-autosend-toggle @deffn Command proof-autosend-toggle &optional arg Toggle @samp{@code{proof-autosend-enable}}. With @var{arg}, turn on iff ARG>0.@* This function simply uses @code{customize-set-variable} to set the variable. @end deffn @node Visibility of completed proofs @section Visibility of completed proofs @cindex Visibility of proofs Large developments may consist of large files with many proofs. To help see what has been proved without the detail of the proof itself, Proof General can hide portions of the proof script. Two different kinds of thing can be hidden: comments and (what Proof General designates as) the body of proofs. You can toggle the visibility of a proof script portion by using the context sensitive menu triggered by @b{clicking the right mouse button on a completed proof}, or the key @kbd{C-c v}, which runs @code{pg-toggle-visibility}. You can also select the ``disappearing proofs'' mode from the menu, @lisp Proof-General -> Quick Options -> Display -> Disappearing Proofs @end lisp This automatically hides each the body of each proof portion as it is completed by the proof assistant. Two further menu commands in the main Proof-General menu, @emph{Show all} and @emph{Hide all} apply to all the completed portions in the buffer. Notice that by design, this feature only applies to completed proofs, @emph{after} they have been processed by the proof assistant. When files are first visited in Proof General, no information is stored about proof boundaries. The relevant elisp functions and settings are mentioned below. @c TEXI DOCSTRING MAGIC: pg-toggle-visibility @deffn Command pg-toggle-visibility Toggle visibility of region under point. @end deffn @c TEXI DOCSTRING MAGIC: pg-show-all-proofs @deffn Command pg-show-all-proofs Display all completed proofs in the buffer. @end deffn @c TEXI DOCSTRING MAGIC: pg-hide-all-proofs @deffn Command pg-hide-all-proofs Hide all completed proofs in the buffer. @end deffn @c TEXI DOCSTRING MAGIC: proof-disappearing-proofs @defopt proof-disappearing-proofs Non-nil causes Proof General to hide proofs as they are completed. The default value is @code{nil}. @end defopt @node Switching between proof scripts @section Switching between proof scripts @cindex Switching between proof scripts Basic modularity in large proof developments can be achieved by splitting proof scripts across various files. Let's assume that you are in the middle of a proof development. You are working on a soundness proof of Hoare Logic in a file called@footnote{The suffix may depend of the specific proof assistant you are using e.g, LEGO's proof script files have to end with @file{.l}.} @file{HSound.l}. It depends on a number of other files which develop underlying concepts e.g. syntax and semantics of expressions, assertions, imperative programs. You notice that the current lemma is too difficult to prove because you have forgotten to prove some more basic properties about determinism of the programming language. Or perhaps a previous definition is too cumbersome or even wrong. At this stage, you would like to visit the appropriate file, say @file{sos.l} and retract to where changes are required. Then, using script management, you want to develop some more basic theory in @file{sos.l}. Once this task has been completed (possibly involving retraction across even earlier files) and the new development has been asserted, you want to switch back to @file{HSound.l} and replay to the point you got stuck previously. Some hours (or days) later you have completed the soundness proof and are ready to tackle new challenges. Perhaps, you want to prove a property that builds on soundness or you want to prove an orthogonal property such as completeness. Proof General lets you do all of this while maintaining the consistency between proof script buffers and the state of the proof assistant. However, you cannot have more than one buffer where only a fraction of the proof script contains a locked region. Before you can employ script management in another proof script buffer, you must either fully assert or retract the current script buffer. @node View of processed files @section View of processed files Proof General tries to be aware of all files that the proof assistant has processed or is currently processing. In the best case, it relies on the proof assistant explicitly telling it whenever it processes a new file which corresponds@footnote{For example, LEGO generates additional compiled (optimised) proof script files for efficiency.} to a file containing a proof script. If the current proof script buffer depends on background material from other files, proof assistants typically process these files automatically. If you visit such a file, the whole file is locked as having been processed in a single step. From the user's point of view, you can only retract but not assert in this buffer. Furthermore, retraction is only possible to the @emph{beginning} of the buffer. @c This isn't strictly true, is it? We lock off buffers atomically, @c but spans in them to start with stay there. (Only meaningful @c for reading currently active scripting file) Unlike a script buffer that has been processed step-by-step via Proof General, automatically loaded script buffers do not pass through a ``red'' phase to indicate that they are currently being processed. This is a limitation of the present implementation. Proof General locks a buffer as soon as it sees the appropriate message from the proof assistant. Different proof assistants may use different messages: either @emph{early locking} when processing a file begins (e.g. LEGO) or @emph{late locking} when processing a file ends (e.g. Isabelle). With @emph{early locking}, you may find that a script which has only been partly processed (due to an error or interrupt, for example), is wrongly completely locked by Proof General. Visit the file and retract back to the start to fix this. With @emph{late locking}, there is the chance that you can break synchronization by editing a file as it is being read by the proof assistant, and saving it before processing finishes. In fact, there is a general problem of editing files which may be processed by the proof assistant automatically. Synchronization can be broken whenever you have unsaved changes in a proof script buffer and the proof assistant processes the corresponding file. (Of course, this problem is familiar from program development using separate editors and compilers). The good news is that Proof General can detect the problem and flashes up a warning in the response buffer. You can then visit the modified buffer, save it and retract to the beginning. Then you are back on track. @c only true for LEGO! @c If the proof assistant is not happy with the script and @c complains with an error message, the buffer will still be marked as @c having been completely processed. Sorry. You need to visit the @c troublesome file, retract (which will always retract to the beginning of @c the file) and debug the problem e.g., by asserting all of the buffer @c under the supervision of Proof General, see @ref{Script processing @c commands}. @node Retracting across files @section Retracting across files @cindex Retraction Make sure that the current script buffer has either been completely asserted or retracted (Proof General enforces this). Then you can retract proof scripts in a different file. Simply visit a file that has been processed earlier and retract in it, using the retraction commands from @pxref{Script processing commands}. Apart from removing parts of the locked region in this buffer, all files which depend on it will be retracted (and thus unlocked) automatically. Proof General reminds you that now is a good time to save any unmodified buffers. @node Asserting across files @section Asserting across files @cindex Assertion Make sure that the current script buffer has either been completely asserted or retracted. Then you can assert proof scripts in a different file. Simply visit a file that contains no locked region and assert some command with the usual assertion commands, @pxref{Script processing commands}. Proof General reminds you that now is a good time to save any unmodified buffers. This is particularly useful as assertion may cause the proof assistant to automatically process other files. @node Automatic multiple file handling @section Automatic multiple file handling To make it easier to adapt Proof General for a proof assistant, there is another possibility for multiple file support --- that it is provided automatically by Proof General and not integrated with the file-management system of the proof assistant. In this case, Proof General assumes that the only files processed are the ones it has sent to the proof assistant itself. Moreover, it (conservatively) assumes that there is a linear dependency between files in the order they were processed. If you only have automatic multiple file handling, you'll find that any files loaded directly by the proof assistant are @emph{not} locked when you visit them in Proof General. Moreover, if you retract a file it may retract more than is strictly necessary (because it assumes a linear dependency). For further technical details of the ways multiple file scripting is configured, see @i{Handling multiple files} in the @i{Adapting Proof General} manual. @node Escaping script management @section Escaping script management @cindex Shell Occasionally you may want to review the dialogue of the entire session with the proof assistant, or check that it hasn't done something unexpected. Experienced users may also want to directly communicate with the proof assistant rather than sending commands via the minibuffer, @pxref{Proof assistant commands}. Although the proof shell is usually hidden from view, it is run in a buffer which you can use to interact with the prover if necessary. You can switch to it using the menu: @lisp Proof-General -> Buffers -> Shell @end lisp @b{Warning:} you can probably cause confusion by typing in the shell buffer! Proof General may lose track of the state of the proof assistant. Output from the assistant is only fully monitored when Proof General is in control of the shell. When in control, Proof General watches the output from the proof assistant to guess when a file is loaded or when a proof step is taken or undone. What happens when you type in the shell buffer directly depends on how complete the communication is between Proof General and the prover (which depends on the particular instantiation of Proof General). If synchronization is lost, you have two options to resynchronize. If you are lucky, it might suffice to use the key: @table @kbd @item C-c C-z @code{proof-frob-locked-end} @end table This command is disabled by default, to protect novices using it accidently. If @code{proof-frob-locked-end} does not work, you will need to restart script management altogether (@pxref{Proof assistant commands}). @c TEXI DOCSTRING MAGIC: proof-frob-locked-end @deffn Command proof-frob-locked-end Move the end of the locked region backwards to regain synchronization.@* Only for use by consenting adults. This command can be used to repair synchronization in case something goes wrong and you want to tell Proof General that the proof assistant has processed less of your script than Proof General thinks. You should only use it to move the locked region to the end of a proof command. @end deffn @node Editing features @section Editing features @cindex Input ring To make editing proof scripts more productive, Proof General provides some additional editing commands. One facility is the @i{input ring} of previously processed commands. This allows a convenient way of repeating an earlier command or a small edit of it. The feature is reminiscent of history mechanisms provided in shell terminals (and the implementation is borrowed from the Emacs Comint package). The input ring only contains commands which have been successfully processed (coloured blue). Duplicated commands are only entered once. @c this is disabled for now, it's not robust @c When commands are undone, they are removed from the ring. The size of the ring is set by the variable @code{pg-input-ring-size}. @kindex M-p @kindex M-n @table @kbd @item M-p @code{pg-previous-matching-input-from-input} @item M-n @code{pg-next-matching-input-from-input} @end table @c TEXI DOCSTRING MAGIC: pg-previous-input @deffn Command pg-previous-input arg Cycle backwards through input history, saving input. @end deffn @c TEXI DOCSTRING MAGIC: pg-next-input @deffn Command pg-next-input arg Cycle forwards through input history. @end deffn @c TEXI DOCSTRING MAGIC: pg-previous-matching-input @deffn Command pg-previous-matching-input regexp n Search backwards through input history for match for @var{regexp}.@* (Previous history elements are earlier commands.) With prefix argument @var{n}, search for Nth previous match. If @var{n} is negative, find the next or Nth next match. @end deffn @c TEXI DOCSTRING MAGIC: pg-next-matching-input @deffn Command pg-next-matching-input regexp n Search forwards through input history for match for @var{regexp}.@* (Later history elements are more recent commands.) With prefix argument @var{n}, search for Nth following match. If @var{n} is negative, find the previous or Nth previous match. @end deffn @c TEXI DOCSTRING MAGIC: pg-previous-matching-input-from-input @deffn Command pg-previous-matching-input-from-input n Search backwards through input history for match for current input.@* (Previous history elements are earlier commands.) With prefix argument @var{n}, search for Nth previous match. If @var{n} is negative, search forwards for the -Nth following match. @end deffn @c TEXI DOCSTRING MAGIC: pg-next-matching-input-from-input @deffn Command pg-next-matching-input-from-input n Search forwards through input history for match for current input.@* (Following history elements are more recent commands.) With prefix argument @var{n}, search for Nth following match. If @var{n} is negative, search backwards for the -Nth previous match. @end deffn @c ================================================================= @c @c CHAPTER: Unicode Tokens @c @node Unicode symbols and special layout support @chapter Unicode symbols and special layout support @cindex symbols @cindex X-Symbols @cindex Greek letters @cindex logical symbols @cindex mathematical symbols @cindex subscripts @cindex superscripts @cindex Maths Menu @cindex Tokens Mode Proof General inherits support for displaying Unicode (and any other) fonts from the underlying Emacs program. If you are lucky, your system will be able to use or synthesise a font that provides a rich set of mathematical symbols. To store symbols directly in files you need to use a particular coding, for example UTF-8. Newer Emacs versions can handle a multitude of different coding systems and will try to automatically detect an appropriate one; consult the Emacs documentation for more details. Of course, the prover that you are using will need to understand the same encodings and symbol meanings. Alternatively, you can use the @b{Unicode Tokens} mode provided in Proof General to display mathematical symbols in place of sequences of other characters (usually plain ASCII). This can provide better compatibility, portability, and flexibility. Even if you use real Unicode characters as prover input, the Unicode Tokens mode can provide some helpful facilities for input shorthands and giving special layout. @menu * Maths menu:: * Unicode Tokens mode:: * Configuring tokens symbols and shortcuts:: * Special layout:: * Moving between Unicode and tokens:: * Finding available tokens shortcuts and symbols:: * Selecting suitable fonts:: @end menu @node Maths menu @section Maths menu The @b{Maths Menu} minor mode (adapted from a menu by Dave Love) simply adds a menu @code{Maths} to the main menubar for inserting common mathematical symbols. You can enable or disable it via the menu @example Proof-General -> Quick Options -> Minor Modes -> Unicode Maths Menu @end example (@code{proof-maths-menu-toggle}). Whether or not the symbols display well the menus depends on the font used to display the menus (which depends on the Emacs version, toolkit and platform). Ordinarily, the symbols inserted into the text will be Unicode characters which will be saved in the file using the encoding selected by standard Emacs mechanisms. @node Unicode Tokens mode @section Unicode Tokens mode The @b{Unicode Tokens} minor mode has been written specially for Proof General (with thanks to Stefan Monnier for providing inspiration and a starting point). It supports the display of symbols when the underlying text of the file and buffer actually contains something else, typically, plain ASCII text. It provides backward compatibility with the older X-Symbol mode. Unicode Tokens can be enabled or disabled using the menu: @example Proof-General -> Quick Options -> Display -> Unicode Tokens @end example The mode to allows ASCII tokens (i.e., sequences of plain ASCII characters) to be displayed as Unicode character compositions, perhaps with additional text properties. The additional text properties allow the use of tokens to cause font changes (bold, italic), text size changes, and sub-script/super-script. For example, the ASCII sequences @code{/\} or @code{\} could be displayed as a conjunction symbol. @comment %% fixme The sequence @code{x __ y} might be written to display @code{y} as subscript. This allows a file to be stored in perfectly portable plain ASCII encoding, but be displayed and edited with real symbols and appealing layout. Of course, the proof assistant needs to understand the underlying tokens in each case. Technically, the mechanism is based on Emacs Font Lock facility, using the @code{composition} text property to display ASCII character sequence tokens as something else. This means that the underlying buffer text is @i{not} altered. This is a major advantage over the older X-Symbol (and the experimental version of Unicode Tokens in PG 3.7.1), which had the annoying risk of saving your buffer text in a corrupted format. This can never happen with the new mode. When the Unicode Tokens mode is enabled, Maths Menu is automatically modified to insert tokenised versions of the Unicode characters (whenever a reverse mapping can be found). This means that you can still use the Maths Menu to conveniently input symbols. You can easily add custom key bindings for particular symbols you need to enter often (@pxref{Adding your own keybindings} for examples). The Unicode Tokens mode also allows short-cut sequences of ordinary characters to quickly type tokens (similarly to the facility provided by X-Symbol). These, along with the token settings themselves, are configured on a per-prover basis. @node Configuring tokens symbols and shortcuts @section Configuring tokens symbols and shortcuts To edit the strings used to display tokens, or the collection of short-cuts, you can edit the file @code{@i{PA}-unicode-tokens.el}, or customize the main variables it contains, for example @code{@i{PA}-token-name-alist} and @code{@i{PA}-shortcut-alist}. E.g., for Isabelle @example M-x customize-variable isar-token-name-alist RET @end example provides an interface to the tokens, and @example M-x customize-variable isar-shortcut-alist @end example an interface to the shortcuts. Where possible, it is better to use the more fine grained way is available to do this, which edits the separate tables which are combine to form the big list of tokens. This is available via the menus, e.g., in Isabelle, use @example Tokens -> Customize -> Extended Symbols @end example to customize the symbols used for the ``extended'' (non standard) symbol list. @node Special layout @section Special layout The Unicode Tokens mode supports both @i{symbol tokens} used to display character sequences in different ways and @i{control tokens} used to control the layout of the text in various ways, such as superscript, subscript, large, small, bold, italic, etc. (The size and position layout is managed using Emacs's @code{display} text property) As well as displaying token sequences as special symbols, symbol tokens themselves can define layout options as well; for example you might define a token @code{\} to display a large circled-plus glyph. If you try the customization mentioned in the section above you will see the options available when defining symbols. These options are fixed layout schemes which also make layout tokens easy to configure for provers. The layout possibilities include the ones shown in the table below. There are two ways of configuring control tokens for layout: @i{character controls} and @i{region controls}. The character controls apply to the next ``character'', although this is a prover-specific notion and might actually mean the next word or identifier. An example might be writing @code{BOLDCHAR x} to make a bold @b{x}. Similarly the region controls apply to a delineated region of text, for example, writing @code{BEGINBOLD this is bold ENDBOLD} could cause the enclosed text @b{this is bold} to be displayed in a bold font. The control tokens that have been configured populate the Tokens menu, so, for example, you may be able to select a region of text and then use the menu item: @example Tokens -> Format Region -> Bold @end example to cause the bold region tokens to be inserted around the selected text, which should cause the buffer presentation to show the text in a bold format (hiding the tokens). Here is the table of layout controls available. What you actually can use will depend on the configuration for the underlying prover. @table @code @item sub lower the text (subscript) @item sup raise the text (superscript) @item bold make the text be in the bold weight of the current font @item italic make the text be in the italic variant of the current font @item big make the text be in a bigger size of the current font @item small make the text be in a smaller size of the current font @item underline underline the text @item overline overline the text @item script display the text in a ``script'' font @item frakt display the text in a ``fraktur'' font @item serif display the text in a serif font @item sans display the text in a sans serif font @item keyword display the text in the keyword face (@code{font-lock-keyword-face}) @item function display the text in the function name face (@code{font-lock-function-name-face}) @item type display the text in the type name face (@code{font-lock-type-face}) @item preprocessor display the text in the preprocessor face (@code{font-lock-preprocessor-face}) @item doc display the text in the documentation face (@code{font-lock-doc-face}) @item builtin display the text in the builtin face (@code{font-lock-builtin-face}) @end table Notice that the fonts can be set conveniently by the menu commands @example Tokens -> Set Fonts -> Script @end example etc. @xref{Selecting suitable fonts}, for more. The symbols used to select the various font-lock faces (see @code{M-x list-faces-display} to show them) allow you to define custom colouring of text for proof assistant input and output, exploiting rich underlying syntax mechanisms of the prover. @c note: see unicode-tokens-fontsymb-properties @c TEXI DOCSTRING MAGIC: unicode-tokens-serif-font-face @deffn Face unicode-tokens-serif-font-face Serif (roman) font face. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-sans-font-face @deffn Face unicode-tokens-sans-font-face Sans serif font face. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-fraktur-font-face @deffn Face unicode-tokens-fraktur-font-face Fraktur font face. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-script-font-face @deffn Face unicode-tokens-script-font-face Script font face. @end deffn @node Moving between Unicode and tokens @section Moving between Unicode and tokens If you want to share text between applications (e.g., email some text from an Isabelle theory file which heavily uses symbols), it is useful to convert to and from Unicode with cut-and-paste operations. The default buffer cut and paste functions will copy the underlying text, which contains the tokens (ASCII format). To copy and convert or paste then convert back, use these commands: @example Tokens -> Copy as unicode Tokens -> Paste from unicode @end example Both of these are necessarily approximate. The buffer presentation may use additional controls (for super/subscript layout or bold fonts, etc), which cannot be converted. Pasting relies on being able to identify a unique token mapped from a single Unicode character; the token table may not include such an entry, or may be ambiguous. @c TEXI DOCSTRING MAGIC: unicode-tokens-copy @deffn Command unicode-tokens-copy beg end Copy presentation of region between @var{beg} and @var{end}.@* This is an approximation; it makes assumptions about the behaviour of symbol compositions, and will lose layout information. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-paste @deffn Command unicode-tokens-paste Paste text from clipboard, converting Unicode to tokens where possible. @end deffn If you are using a mixture of ``real'' Unicode and tokens like this you may want to be careful to check the buffer contents: the command @code{unicode-tokens-highlight-unicode} helps you to manage this. It is available on the Tokens menu as @example Tokens -> Highlight Real Unicode Chars @end example Alternative ways to check are to toggle the display of tokens using @example Tokens -> Reveal Symbol Tokens @end example (the similar entry for @code{Control Tokens} displays tokens being used to control layout). Or simply toggle the tokens mode, which will leave the true Unicode tokens untouched. @c TEXI DOCSTRING MAGIC: unicode-tokens-highlight-unicode @defvar unicode-tokens-highlight-unicode Non-nil to highlight Unicode characters. @end defvar @node Finding available tokens shortcuts and symbols @section Finding available tokens shortcuts and symbols Two commands (both on the Tokens menu) allow you to see the tokens and shortcuts available: @example Tokens -> List Tokens Tokens -> List Shortcuts @end example Additionally, you can view the complete Unicode character set available in the default Emacs font, with @example Tokens -> List Unicode Characters @end example (this uses a list adapted from Norman Walsh's @code{unichars.el}). Note that the Unicode Tokens modes displays symbols defined by symbol tokens in a special font. @c TEXI DOCSTRING MAGIC: unicode-tokens-list-tokens @deffn Command unicode-tokens-list-tokens Show a buffer of all tokens. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-list-shortcuts @deffn Command unicode-tokens-list-shortcuts Show a buffer of all the shortcuts available. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-list-unicode-chars @deffn Command unicode-tokens-list-unicode-chars Insert each Unicode character into a buffer.@* Lets you see which characters are available for literal display in your emacs font. (fn) @end deffn @node Selecting suitable fonts @section Selecting suitable fonts The precise set of symbol glyphs that are available to you will depend in complicated ways on your operating system, Emacs version, configuration options used when Emacs was compiled, installed font sets, and (even) command line options used to start Emacs. So it is hard to give comprehensive and accurate advice in this manual. In general, things work @i{much} better with Emacs 23 than earlier versions. To improve flexibility, Unicode Tokens mode allows you to select another font to display symbols from the default font that is used to display text in the buffer. This is the font that is configured by the menu @example Tokens -> Set Fonts -> Symbol @end example its customization name is @code{unicode-tokens-symbol-font-face}, but notice that only the font family aspect of the face is used. Similarly, other fonts can be configured for controling different font families (script, fraktur, etc). For symbols, good results are possible by using a proportional font for displaying symbols that has many symbol glyphs, for example the main font StixGeneral font from the Stix Fonts project (@uref{http://www.stixfonts.org/}). At the time of writing you can obtain a beta version of these fonts in TTF format from @uref{http://olegueret.googlepages.com/stixfonts-ttf}. On recent Linux distributions and with an Emacs 23 build that uses Xft, simply copy these @code{ttf} files into the @code{.fonts} directory inside your home directory to make them available. Another font I like is @b{DejaVu Sans Mono}. It covers all of the standard Isabelle symbols. Some of the symbols are currently not perfect; however this font is an open source effort so users can contribute or suggest improvements. See @uref{http://dejavu-fonts.org}. If you are stuck with Emacs 22, you need to use the @i{fontset} mechanism which configures sets of fonts to use for display. The default font sets may not include enough symbols (typical symptom: symbols display as empty boxes). To address this, the menu command @example Tokens -> Set Fonts -> Make Fontsets @end example constructs a number of fontsets at particular point sizes, based on several widely available fonts. See @code{pg-fontsets.el} for the code. After running this command, you can select from additional fontsets from the menus for changing fonts. For further suggestions, please search (and contribute!) to the Proof General wiki at @uref{http://proofgeneral.inf.ed.ac.uk/wiki}. @c TEXI DOCSTRING MAGIC: unicode-tokens-symbol-font-face @deffn Face unicode-tokens-symbol-font-face The default font used for symbols. Only :family and :slant attributes are used. @end deffn @c TEXI DOCSTRING MAGIC: unicode-tokens-font-family-alternatives @defvar unicode-tokens-font-family-alternatives Not documented. @end defvar @c ================================================================= @c @c CHAPTER: Support for other Packages @c @node Support for other Packages @chapter Support for other Packages Proof General makes some configuration for other Emacs packages which provide various useful facilities that can make your editing more effective. Sometimes this configuration is purely at the proof assistant specific level (and so not necessarily available), and sometimes it is made using Proof General settings. When adding support for a new proof assistant, we suggest that these other packages are supported, as a convention. The packages currently supported include @code{font-lock}, @code{imenu} and @code{speedbar}, @code{outline-mode}, @code{completion}, and @code{etags}. @menu * Syntax highlighting:: * Imenu and Speedbar:: * Support for outline mode:: * Support for completion:: * Support for tags:: @end menu @node Syntax highlighting @section Syntax highlighting @vindex lego-mode-hooks @vindex coq-mode-hooks @vindex isa-mode-hooks @cindex font lock @cindex colour @c Proof General specifics Proof script buffers are decorated (or @i{fontified}) with colours, bold and italic fonts, etc, according to the syntax of the proof language and the settings for @code{font-lock-keywords} made by the proof assistant specific portion of Proof General. Moreover, Proof General usually decorates the output from the proof assistant, also using @code{font-lock}. To automatically switch on fontification in Emacs, you may need to engage @code{M-x global-font-lock-mode}. By the way, the choice of colour, font, etc, for each kind of markup is fully customizable in Proof General. Each @emph{face} (Emacs terminology) is controlled by its own customization setting. You can display a list of all of them using the customize menu: @lisp Proof General -> Advanced -> Customize -> Faces -> Proof Faces. @end lisp @node Imenu and Speedbar @section Imenu and Speedbar @vindex proof-goal-with-hole-regexp @vindex proof-goal-with-hole-result @c FIXME: should be see alsos. @cindex Speedbar @cindex Imenu @cindex index menu The Emacs package @code{imenu} (Index Menu) provides a menu built from the names of entities (e.g., theorems, definitions, etc) declared in a buffer. This allows easy navigation within the file. Proof General configures both packages automatically so that you can quickly jump to particular proofs in a script buffer. (Developers note: the automatic configuration is done with the settings @code{proof-goal-with-hole-regexp} and @code{proof-save-with-hole-regexp}. Better configuration may be made manually with several other settings, see the @i{Adapting Proof General} manual for further details). To use Imenu, select the option @lisp Proof-General -> Quick Options -> Minor Modes -> Index Menu @end lisp This adds an "Index" menu to the main menu bar for proof script buffers. You can also use @kbd{M-x imenu} for keyboard-driven completion of tags built from names in the buffer. Speedbar displays a file tree in a separate window on the display, allowing quick navigation. Middle/double-clicking or pressing @kbd{+} on a file icon opens up to display tags (definitions, theorems, etc) within the file. Middle/double-clicking on a file or tag jumps to that file or tag. To use Speedbar, use @lisp Proof-General -> Quick Options -> Minor Modes -> Speedbar @end lisp If you prefer the old fashioned way, `M-x speedbar' does the same job. For more information about Speedbar, see @uref{http://cedet.sourceforge.net/speedbar.shtml}. @node Support for outline mode @section Support for outline mode @cindex outline mode Proof General configures Emacs variables (@code{outline-regexp} and @code{outline-heading-end-regexp}) so that outline minor mode can be used on proof script files. The headings taken for outlining are the "goal" statements at the start of goal-save sequences, @pxref{Goal-save sequences}. If you want to use @code{outline} to hide parts of the proof script in the @emph{locked} region, you need to disable @code{proof-strict-read-only}. Use @kbd{M-x outline-minor-mode} to turn on outline minor mode. Functions for navigating, hiding, and revealing the proof script are available in menus. @c 3.5: this remark taken from BUGS Please note that outline-mode may not work well in processed proof script files, because of read-only restrictions of the protected region. This is an inherent problem with outline because it works by modifying the buffer. If you want to use outline with processed scripts, you can turn off the @code{Strict Read Only} option. See @inforef{Outline Mode, ,emacs} for more information about outline mode. @node Support for completion @section Support for completion @cindex completion You might find the @emph{completion} facility of Emacs useful when you're using Proof General. The key @kbd{C-RET} is defined to invoke the @code{complete} command. Pressing @kbd{C-RET} cycles through completions displaying hints in the minibuffer. Completions are filled in according to what has been recently typed, from a database of symbols. The database is automatically saved at the end of a session. Proof General has the additional facility for setting a completion table for each supported proof assistant, which gets loaded into the completion database automatically. Ideally the completion table would be set from the running process according to the identifiers available are within the particular context of a script file. But until this is available, this table may be set to contain a number of standard identifiers available for your proof assistant. The setting @code{@emph{PA}-completion-table} holds the list of identifiers for a proof assistant. The function @code{proof-add-completions} adds these into the completion database. @c TEXI DOCSTRING MAGIC: PA-completion-table @defvar PA-completion-table List of identifiers to use for completion for this proof assistant.@* Completion is activated with M-x complete. If this table is empty or needs adjusting, please make changes using @samp{@code{customize-variable}} and post suggestions at https://github.com/ProofGeneral/PG/issues @end defvar The completion facility uses a library @file{completion.el} which usually ships with Emacs, and supplies the @code{complete} function. @c FIXME: edited from default. @c NOT DOCSTRING MAGIC: complete @deffn Command complete Fill out a completion of the word before point. @* Point is left at end. Consecutive calls rotate through all possibilities. Prefix args: @table @kbd @item C-u leave point at the beginning of the completion, not the end. @item a number rotate through the possible completions by that amount @item 0 same as -1 (insert previous completion) @end table See the comments at the top of @samp{completion.el} for more info. @end deffn @node Support for tags @section Support for tags @cindex tags An Emacs "tags table" is a description of how a multi-file system is broken up into files. It lists the names of the component files and the names and positions of the functions (or other named subunits) in each file. Grouping the related files makes it possible to search or replace through all the files with one command. Recording the function names and positions makes possible the @kbd{M-.} command which finds the definition of a function by looking up which of the files it is in. Some instantiations of Proof General (currently LEGO and Coq) are supplied with external programs (@file{legotags} and @file{coqtags}) for making tags tables. For example, invoking @samp{coqtags *.v} produces a file @file{TAGS} for all files @samp{*.v} in the current directory. Invoking @samp{coqtags `find . -name \*.v`} produces a file @file{TAGS} for all files ending in @samp{.v} in the current directory structure. Once a tag table has been made for your proof developments, you can use the Emacs tags mechanisms to find tags, and complete symbols from tags table. One useful key-binding you might want to make is to set the usual tags completion key @kbd{M-tab} to run @code{tag-complete-symbol} to use completion from names in the tag table. To set this binding in Proof General script buffers, put this code in your @file{.emacs} file: @lisp (add-hook 'proof-mode-hook (lambda () (local-set-key '(meta tab) 'tag-complete-symbol))) @end lisp Since this key-binding interferes with a default binding that users may already have customized (or may be taken by the window manager), Proof General doesn't do this automatically. Apart from completion, there are several other operations on tags. One common one is replacing identifiers across all files using @code{tags-query-replace}. For more information on how to use tags, @inforef{Tags, ,emacs}. To use tags for completion at the same time as the completion mechanism mentioned already, you can use the command @kbd{M-x add-completions-from-tags-table}. @c TEXI DOCSTRING MAGIC: add-completions-from-tags-table @deffn Command add-completions-from-tags-table Add completions from the current tags table. @end deffn @c ================================================================= @c @c CHAPTER: Proof by Pointing @c @node Subterm Activation and Proof by Pointing @chapter Subterm Activation and Proof by Pointing This chapter describes what you can do from inside the goals buffer, providing support for these features exists for your proof assistant. As of Proof General 4.0, this support only exists for LEGO and proof-by-pointing functionality has been temporarily removed from the interface. If you would like to see subterm activation support for Proof General in another proof assistant, please petition the developers of that proof assistant to provide it! @menu * Goals buffer commands:: @end menu @node Goals buffer commands @section Goals buffer commands When you are developing a proof, the input focus (Emacs cursor) is usually on the script buffer. Therefore Proof General binds some mouse buttons for commands in the goals buffer, to avoid the need to move the cursor between buffers. The mouse bindings are these: @table @kbd @item mouse-1 @code{pg-goals-button-action} @item C-mouse-3 @code{proof-undo-and-delete-last-successful-command} @c @item mouse-3 @c @code{pg-goals-yank-subterm} @item C-S-mouse-1 @code{pg-identifier-under-mouse-query} @end table Where @kbd{mouse-1} indicates the left mouse button, and @kbd{mouse-3} indicates the right hand mouse button. The functions available provide a way to construct commands automatically (@code{pg-goals-button-action}) and to inspect identifiers (@code{pg-identifier-under-mouse-query}) as the Info toolbar button does. Proof-by-pointing is a cute idea. It lets you automatically construct parts of a proof by clicking. You can ask the proof assistant to try to do a step in the proof, based on where you click. If you don't like the command which was inserted into the script, you can comment use the control key with the right button to undo the step and delete it from your script (@code{proof-undo-and-delete-last-successful-command}). Proof-by-pointing may construct several commands in one go. These are sent back to the proof assistant altogether and appear as a single step in the proof script. However, if the proof is later replayed (without using PBP), the proof-by-pointing constructions will be considered as separate proof commands, as usual. The main function for proof-by-pointing is @code{pg-goals-button-action}. @c TEXI FIXME DOCSTRING MAGIC: pg-goals-button-action @deffn Command pg-goals-button-action event Construct a proof-by-pointing command based on the mouse-click @var{event}.@* This function should be bound to a mouse button in the Proof General goals buffer. The @var{event} is used to find the smallest subterm around a point. A position code for the subterm is sent to the proof assistant, to ask it to construct an appropriate proof command. The command which is constructed will be inserted at the end of the locked region in the proof script buffer, and immediately sent back to the proof assistant. If it succeeds, the locked region will be extended to cover the proof-by-pointing command, just as for any proof command the user types by hand. @end deffn Proof-by-pointing uses markup describing the term structure of the concrete syntax output by the proof assistant. This markup is useful in itself: it allows you to explore the structure of a term using the mouse (the smallest subexpression that the mouse is over is highlighted), and easily copy subterms from the output to a proof script. @c The right-hand mouse button provides this convenient way to copy @c subterms from the goals buffer, using the function @c @code{pg-goals-yank-subterm}. @c TEXI FIXME DOCSTRING MAGIC: pg-goals-yank-subterm @c @deffn Command pg-goals-yank-subterm event @c Copy the subterm indicated by the mouse-click @var{event}.@* @c This function should be bound to a mouse button in the Proof General @c goals buffer. @c The @var{event} is used to find the smallest subterm around a point. The @c subterm is copied to the @samp{@code{kill-ring}}, and immediately yanked (copied) @c into the current buffer at the current cursor position. @c In case the current buffer is the goals buffer itself, the yank @c is not performed. Then the subterm can be retrieved later by an @c explicit yank. @c @end deffn @c TEXI DOCSTRING MAGIC: pg-identifier-under-mouse-query @deffn Command pg-identifier-under-mouse-query event Query the prover about the identifier near mouse click @var{event}. @end deffn @c Proof General expects to parse @c term-structure annotations on the output syntax of the prover. @c It uses these to construct a message to the prover indicating @c where the user has clicked, and the proof assistant can @c response with a suggested tactic. @c ================================================================= @c @c CHAPTER @c @node Graphical Proof-Tree Visualization @chapter Graphical Proof-Tree Visualization @cindex proof-tree visualization Since version 4.2, Proof General supports proof-tree visualization on graphical desktops via the additional program Prooftree. Currently, proof-tree visualization is only supported for the Coq proof assistant. This version of Proof General requires Prooftree version 0.11. Check the @uref{http://askra.de/software/prooftree/, Prooftree website}, to see if some later versions are also compatible. (Because of the communication protocol, Proof General is always only compatible with certain versions of Prooftree.) For installation instructions and more detailed information about Prooftree, please refer to the @uref{http://askra.de/software/prooftree/, Prooftree website} and the @uref{http://askra.de/software/prooftree/prooftree.man.html, Prooftree man page}. For information about how to support proof-tree visualization for a different proof assistant, see Section @i{Configuring Proof-Tree Visualization} in the @i{Adapting Proof General} manual. @menu * Starting and Stopping Proof-Tree Visualization:: * Features of Prooftree:: * Prooftree Customization:: @end menu @node Starting and Stopping Proof-Tree Visualization @section Starting and Stopping Proof-Tree Visualization When proof-tree visualization is supported (currently only for the Coq proof assistant), you can start the visualization via the proof-tree button in the tool-bar, via the menu @lisp Proof-General -> Start/Stop Prooftree @end lisp or via the keyboard shortcut @kbd{C-c C-d}, all of which invoke @code{proof-tree-external-display-toggle}. If you are inside a proof, the graphical display is started immediately for your current proof. Otherwise the display starts as soon as you start the next proof. Starting the proof-tree display in the middle of a proof involves an automatic reexecution of your current proof script in the locked region, which should be almost unnoticeable, except for the time it takes. The proof-tree display stops at the end of the proof or when you invoke @code{proof-tree-external-display-toggle} by one of the three indicated means again. Alternatively you can also close the proof-tree window. Proof General launches only one instance of Prooftree, which can manage an arbitrary amount of proof-tree windows. @node Features of Prooftree @section Features of Prooftree The proof-tree window provides visual information about the status of the different branches in your proof (by coloring completely proved branches in green, for example) and means for inspecting previous proof states without the need to retract parts of your proof script. Currently, Prooftree provides the following features: @itemize @bullet @item Navigation in the proof tree and display of all previous proof states and proof commands. @item Display branches of the proof in different colors according to their proof state, distinguishing branches with open, partially or fully instantiated existential variables as well as branches that have been finished by a cheating command such as @code{admit}. @item Display the status of existential variables and their dependencies. @item Mark proof commands that introduce or instantiate a given existential variable. @item Snapshots of proof trees for reference when you retract your proof to try a different approach. @item Trigger a retract (undo) operation with a selected sequent as target. @item Insert proof scripts from the proof tree in the current buffer. @end itemize For a more elaborated description please consult the help dialog of Prooftree or the @uref{http://askra.de/software/prooftree/prooftree.man.html, Prooftree man page}. @node Prooftree Customization @section Prooftree Customization The location of the Prooftree program and command line arguments can be configured in the customization group @code{proof-tree}. You can visit this customization group inside a running instance of Proof General by typing @code{M-x customize-group proof-tree }. The graphical aspects of the proof-tree rendering, fonts and colors can be changed inside Prooftree by invoking the @code{Configuration} item of the main menu. Prover specific parts such as the regular expressions for recognizing subgoals, existential variables and navigation and cheating commands are in the customization group @code{proof-tree-internals}. Under normal circumstances there should be no need to change one of these internal settings. @c ================================================================= @c @c CHAPTER @c @node Customizing Proof General @chapter Customizing Proof General @cindex Customization There are two ways of customizing Proof General: it can be customized for a user's preferences using a particular proof assistant, or it can be customized by a developer to add support for a new proof assistant. The latter kind of customization we call instantiation, or @emph{adapting}. See the @i{Adapting Proof General} manual for how to do this. Here we cover the user-level customization for Proof General. There are two kinds of user-level settings in Proof General: @itemize @bullet @item Settings that apply @emph{globally} to all proof assistants. @item those that can be adjusted for each proof assistant @emph{individually}. @end itemize The first sort have names beginning with @code{proof-}. The second sort have names which begin with a symbol corresponding to the proof assistant: for example, @code{isa-}, @code{coq-}, etc. The symbol is the root of the mode name. @xref{Quick start guide}, for a table of the supported modes. To stand for an arbitrary proof assistant, we write @code{@emph{PA}-} for these names. In this chapter we only consider the generic settings: ones which apply to all proof assistants (globally or individually). The support for a particular proof assistant may provide extra individual customization settings not available in other proof assistants. See the chapters covering each assistant for details of those settings. @menu * Basic options:: * How to customize:: * Display customization:: * User options:: * Changing faces:: * Tweaking configuration settings:: @end menu @node Basic options @section Basic options Proof General has some common options which you can toggle directly from the menu: @lisp Proof-General -> Quick Options @end lisp The effect of changing one of these options will be seen immediately (or in the next proof step). The window-control options on this menu are described shortly. @xref{Display customization}. To save the current settings for these options (only), use the Save Options command in the submenu: @lisp Proof-General -> Quick Options -> Save Options @end lisp or @code{M-x customize-save-customized}. The options on this sub-menu are also available in the complete user customization options group for Proof General. For this you need to know a little bit about how to customize in Emacs. @node How to customize @section How to customize @cindex Using Customize @cindex Emacs customization library Proof General uses the Emacs customization library to provide a friendly interface. You can access all the customization settings for Proof General via the menu: @lisp Proof-General -> Advanced -> Customize @end lisp Using the customize facility is straightforward. You can select the setting to customize via the menus, or with @code{M-x customize-variable}. When you have selected a setting, you are shown a buffer with its current value, and facility to edit it. Once you have edited it, you can use the special buttons @var{set}, @var{save} and @var{done}. You must use one of @var{set} or @var{save} to get any effect. The @var{save} button stores the setting in your @file{.emacs} file. The command @kbd{M-x customize-save-customized} or Emacs menubar item @code{Options -> Save Options} saves all settings you have edited. A technical note. In the customize menus, the variable names mentioned later in this chapter may be abbreviated --- the "@code{proof}-" or similar prefixes are omitted. Also, some of the option settings may have more descriptive names (for example, @var{on} and @var{off}) than the low-level lisp values (non-@code{nil}, @code{nil}) which are mentioned in this chapter. These features make customize rather more friendly than raw lisp. You can also access the customize settings for Proof General from other (non-script) buffers. Use the menu: @lisp Options -> Customize Emacs -> Top-level Customization Group @end lisp and select the @code{External} and then @code{Proof-General} groups. The complete set of customization settings will only be available after Proof General has been fully loaded. Proof General is fully loaded when you visit a script file for the first time, or if you type @kbd{M-x load-library RET proof RET}. For more help with customize, see @inforef{Customization, ,emacs}. @node Display customization @section Display customization @cindex display customization @cindex multiple windows @cindex buffer display customization @cindex frames @cindex multiple frames @cindex three-buffer interaction @cindex auto raise By default, Proof General displays two buffers during scripting, in a split window on the display. One buffer is the script buffer. The other buffer is either the goals buffer (@code{*goals*}) or the response buffer (@code{*response*}). Proof General raises and switches between these last two automatically. Proof General allows several ways to customize this default display model, by splitting the Emacs frames in different ways and maximising the amount of information shown, or by using multiple frames. The customization options are explained below; they are also available on the menu: @lisp Proof-General -> Quick Options -> Display @end lisp and you can save your preferred default. If your screen is large enough, you may prefer to display all three of the interaction buffers at once. This is useful, for example, to see output from the @code{proof-find-theorems} command at the same time as the subgoal list. Set the user option @code{proof-three-window-enable} to make Proof General keep both the goals and response buffer displayed. If you prefer to switch windows and buffers manually when you want to see the prover output, you can customize the user option @code{proof-auto-raise-buffers} to prevent the automatic behaviour. You can browse interaction output by hovering the mouse over the command regions in the proof script. @c TEXI DOCSTRING MAGIC: proof-auto-raise-buffers @defopt proof-auto-raise-buffers If non-nil, automatically raise buffers to display latest output.@* If this is not set, buffers and windows will not be managed by Proof General. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-three-window-enable @defopt proof-three-window-enable Whether response and goals buffers have dedicated windows.@* If non-nil, Emacs windows displaying messages from the prover will not be switchable to display other windows. This option can help manage your display. Setting this option triggers a three-buffer mode of interaction where the goals buffer and response buffer are both displayed, rather than the two-buffer mode where they are switched between. It also prevents Emacs automatically resizing windows between proof steps. If you use several frames (the same Emacs in several windows on the screen), you can force a frame to stick to showing the goals or response buffer. The default value is @code{t}. @end defopt Sometimes during script management, there is no response from the proof assistant to some command. In this case you might like the empty response window to be hidden so you have more room to see the proof script. The setting @code{proof-delete-empty-windows} helps you do this. @c TEXI DOCSTRING MAGIC: proof-delete-empty-windows @defopt proof-delete-empty-windows If non-nil, automatically remove windows when they are cleaned.@* For example, at the end of a proof the goals buffer window will be cleared; if this flag is set it will automatically be removed. If you want to fix the sizes of your windows you may want to set this variable to @code{'nil'} to avoid windows being deleted automatically. If you use multiple frames, only the windows in the currently selected frame will be automatically deleted. The default value is @code{nil}. @end defopt This option only has an effect when you have set @code{proof-three-window-mode}. If you are working on a machine with a window system, you can use Emacs to manage several @i{frames} on the display, to keep the goals buffer displayed in a fixed place on your screen and in a certain font, for example. A convenient way to do this is via the user option @c TEXI DOCSTRING MAGIC: proof-multiple-frames-enable @defopt proof-multiple-frames-enable Whether response and goals buffers have separate frames.@* If non-nil, Emacs will make separate frames (screen windows) for the goals and response buffers, by altering the Emacs variable @samp{@code{special-display-regexps}}. The default value is @code{nil}. @end defopt Multiple frames work best when @code{proof-delete-empty-windows} is off and @code{proof-three-window-mode} is on. Finally, there are two commands available which help to switch between buffers or refresh the window layout. These are on the menu: @lisp Proof-General -> Buffers @end lisp @c TEXI DOCSTRING MAGIC: proof-display-some-buffers @deffn Command proof-display-some-buffers Display the reponse, trace, goals, or shell buffer, rotating.@* A fixed number of repetitions of this command switches back to the same buffer. Also move point to the end of the response buffer if it's selected. If in three window or multiple frame mode, display two buffers. The idea of this function is to change the window->buffer mapping without adjusting window layout. @end deffn @c TEXI DOCSTRING MAGIC: proof-layout-windows @deffn Command proof-layout-windows Refresh the display of windows according to current display mode. For multiple frame mode, this function obeys the setting of @samp{@code{pg-response-eagerly-raise}}, which see. For single frame mode: @itemize @bullet @item In two panes mode, this uses a canonical layout made by splitting Emacs windows in equal proportions. The splitting is vertical if emacs width is smaller than @samp{@code{split-width-threshold}} and horizontal otherwise. You can then adjust the proportions by dragging the separating bars. @item In three pane mode, there are three display modes, depending where the three useful buffers are displayed: scripting buffer, goals buffer and response buffer. Here are the three modes: @itemize @bullet @item @code{vertical}: the 3 buffers are displayed in one column. @item @code{hybrid}: 2 columns mode, left column displays scripting buffer and right column displays the 2 others. @item @code{horizontal}: 3 columns mode, one for each buffer (script, goals, response). @end itemize By default, the display mode is automatically chosen by considering the current emacs frame width: if it is smaller than @samp{@code{split-width-threshold}} then vertical mode is chosen, otherwise if it is smaller than 1.5 * @samp{@code{split-width-threshold}} then hybrid mode is chosen, finally if the frame is larger than 1.5 * @samp{@code{split-width-threshold}} then the horizontal mode is chosen. You can change the value of @samp{@code{split-width-threshold}} at your will. If you want to force one of the layouts, you can set variable @samp{@code{proof-three-window-mode-policy}} to @code{'vertical}, @code{'horizontal} or @code{'hybrid}. The default value is @code{'smart} which sets the automatic behaviour described above. @end itemize @end deffn @c TEXI DOCSTRING MAGIC: proof-shrink-windows-tofit @defopt proof-shrink-windows-tofit If non-nil, automatically shrink output windows to fit contents.@* In single-frame mode, this option will reduce the size of the goals and response windows to fit their contents. The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: proof-colour-locked @defopt proof-colour-locked If non-nil, colour the locked region with @samp{@code{proof-locked-face}}.@* If this is not set, buffers will have no special face set on locked regions. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-output-tooltips @defopt proof-output-tooltips Non-nil causes Proof General to add tooltips for prover output.@* Hovers will be added when this option is non-nil. Prover outputs can be displayed when the mouse hovers over the region that produced it and output is available (see @samp{@code{proof-full-annotation}}). If output is not available, the type of the output region is displayed. Changes of this option will not be reflected in already-processed regions of the script. The default value is @code{nil}. @end defopt @node User options @section User options @c Index entries for each option 'concept' @cindex User options @cindex Strict read-only @cindex Undo in read-only region @cindex Query program name @cindex Dedicated windows @cindex Remote host @cindex Toolbar follow mode @cindex Toolbar disabling @cindex Toolbar button enablers @cindex Proof script indentation @cindex Indentation @cindex Remote shell @cindex Running proof assistant remotely @cindex Input ring @c @cindex formatting proof script Here is a list of the important user options for Proof General, apart from the display options mentioned above. User options can be set via the customization system already mentioned, via the old-fashioned @code{M-x edit-options} mechanism, or simply by adding @code{setq}'s to your @file{.emacs} file. The first approach is strongly recommended. Unless mentioned, all of these settings can be changed dynamically, without needing to restart Emacs to see the effect. But you must use customize to be sure that Proof General reconfigures itself properly. @c TEXI DOCSTRING MAGIC: proof-splash-enable @defopt proof-splash-enable If non-nil, display a splash screen when Proof General is loaded. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-electric-terminator-enable @defopt proof-electric-terminator-enable If non-nil, use electric terminator mode.@* If electric terminator mode is enabled, pressing a terminator will automatically issue @samp{proof-assert-next-command} for convenience, to send the command straight to the proof process. If the command you want to send already has a terminator character, you don't need to delete the terminator character first. Just press the terminator somewhere nearby. Electric! The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: proof-next-command-insert-space @defopt proof-next-command-insert-space If non-nil, PG will use heuristics to insert newlines or spaces in scripts.@* In particular, if electric terminator is switched on, spaces or newlines will be inserted as the user types commands to the prover. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-toolbar-enable @defopt proof-toolbar-enable If non-nil, display Proof General toolbar for script buffers. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-query-file-save-when-activating-scripting @defopt proof-query-file-save-when-activating-scripting If non-nil, query user to save files when activating scripting. Often, activating scripting or executing the first scripting command of a proof script will cause the proof assistant to load some files needed by the current proof script. If this option is non-nil, the user will be prompted to save some unsaved buffers in case any of them corresponds to a file which may be loaded by the proof assistant. You can turn this option off if the save queries are annoying, but be warned that with some proof assistants this may risk processing files which are out of date with respect to the loaded buffers! The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: PA-script-indent @defopt PA-script-indent If non-nil, enable indentation code for proof scripts. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: PA-one-command-per-line @defopt PA-one-command-per-line If non-nil, format for newlines after each command in a script. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-prog-name-ask @defopt proof-prog-name-ask If non-nil, query user which program to run for the inferior process. The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: PA-prog-args @defvar PA-prog-args Arguments to be passed to @samp{@code{proof-prog-name}} to run the proof assistant.@* If non-nil, will be treated as a list of arguments for @samp{@code{proof-prog-name}}. Otherwise @samp{@code{proof-prog-name}} will be split on spaces to form arguments. Remark: Arguments are interpreted strictly: each one must contain only one word, with no space (unless it is the same word). For example if the arguments are -x foo -y bar, then the list should be '("-x" "foo" "-y" "bar"), notice that '("-x foo" "-y bar") is @strong{wrong}. @end defvar @c TEXI DOCSTRING MAGIC: PA-prog-env @defvar PA-prog-env Modifications to @samp{@code{process-environment}} made before running @samp{@code{proof-prog-name}}.@* Each element should be a string of the form ENVVARNAME=@var{value}. They will be added to the environment before launching the prover (but not pervasively). For example for coq on Windows you might need something like: (setq @code{coq-prog-env} '("HOME=C:\Program Files\Coq\")) @end defvar @c TEXI DOCSTRING MAGIC: proof-prog-name-guess @defopt proof-prog-name-guess If non-nil, use @samp{@code{proof-guess-command-line}} to guess @samp{@code{proof-prog-name}}.@* This option is compatible with @samp{@code{proof-prog-name-ask}}. No effect if @samp{@code{proof-guess-command-line}} is nil. The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: proof-tidy-response @defopt proof-tidy-response Non-nil indicates that the response buffer should be cleared often.@* The response buffer can be set either to accumulate output, or to clear frequently. With this variable non-nil, the response buffer is kept tidy by clearing it often, typically between successive commands (just like the goals buffer). Otherwise the response buffer will accumulate output from the prover. The default value is @code{t}. @end defopt @c TEXI DOCSTRING MAGIC: proof-keep-response-history @defopt proof-keep-response-history Whether to keep a browsable history of responses.@* With this feature enabled, the buffers used for prover responses will have a history that can be browsed without processing/undoing in the prover. (Changes to this variable take effect after restarting the prover). The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: pg-input-ring-size @defopt pg-input-ring-size Size of history ring of previous successfully processed commands. The default value is @code{32}. @end defopt @c TEXI DOCSTRING MAGIC: proof-general-debug @defopt proof-general-debug Non-nil to run Proof General in debug mode.@* This changes some behaviour (e.g. markup stripping) and displays debugging messages in the response buffer. To avoid erasing messages shortly after they're printed, set @samp{@code{proof-tidy-response}} to nil. This is only useful for PG developers. The default value is @code{nil}. @end defopt @c ******* NON-BOOLEANS ******* @c TEXI DOCSTRING MAGIC: proof-follow-mode @defopt proof-follow-mode Choice of how point moves with script processing commands.@* One of the symbols: @code{'locked}, @code{'follow}, @code{'followdown}, @code{'ignore}. If @code{'locked}, point sticks to the end of the locked region. If @code{'follow}, point moves just when needed to display the locked region end. If @code{'followdown}, point if necessary to stay in writeable region If @code{'ignore}, point is never moved after movement commands or on errors. If you choose @code{'ignore}, you can find the end of the locked using M-x @code{proof-goto-end-of-locked} The default value is @code{locked}. @end defopt @c TEXI DOCSTRING MAGIC: proof-auto-action-when-deactivating-scripting @defopt proof-auto-action-when-deactivating-scripting If @code{'retract} or @code{'process}, do that when deactivating scripting. With this option set to @code{'retract} or @code{'process}, when scripting is turned off in a partly processed buffer, the buffer will be retracted or processed automatically. With this option unset (nil), the user is questioned instead. Proof General insists that only one script buffer can be partly processed: all others have to be completely processed or completely unprocessed. This is to make sure that handling of multiple files makes sense within the proof assistant. NB: A buffer is completely processed when all non-whitespace is locked (coloured blue); a buffer is completely unprocessed when there is no locked region. For some proof assistants (such as Coq) fully processed buffers make no sense. Setting this option to @code{'process} has then the same effect as leaving it unset (nil). (This behaviour is controlled by @samp{@code{proof-no-fully-processed-buffer}}.) The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: proof-rsh-command @defopt proof-rsh-command Shell command prefix to run a command on a remote host.@* For example, @lisp ssh bigjobs @end lisp Would cause Proof General to issue the command @samp{ssh bigjobs isabelle} to start Isabelle remotely on our large compute server called @samp{bigjobs}. The protocol used should be configured so that no user interaction (passwords, or whatever) is required to get going. For proper behaviour with interrupts, the program should also communicate signals to the remote host. The default value is @code{nil}. @end defopt @node Changing faces @section Changing faces The numerous fonts and colours that Proof General uses are configurable. If you alter faces through the customize menus (or the command @kbd{M-x customize-face}), only the particular kind of display in use (colour window system, monochrome window system, console, @dots{}) will be affected. This means you can keep separate default settings for each different display environment where you use Proof General. As well as the faces listed below, Proof General may use the regular @code{font-lock-} faces (eg @code{font-lock-keyword-face}, @code{font-lock-variable-name-face}, etc) for fontifying the proof script or proof assistant output. These can be altered to your taste just as easily, but note that changes will affect all other modes which use them! @menu * Script buffer faces:: * Goals and response faces:: @end menu @node Script buffer faces @subsection Script buffer faces @c TEXI DOCSTRING MAGIC: proof-queue-face @deffn Face proof-queue-face Face for commands in proof script waiting to be processed. @end deffn @c TEXI DOCSTRING MAGIC: proof-locked-face @deffn Face proof-locked-face Face for locked region of proof script (processed commands). @end deffn @c TEXI DOCSTRING MAGIC: proof-script-sticky-error-face @deffn Face proof-script-sticky-error-face Proof General face for marking an error in the proof script. @end deffn @c TEXI DOCSTRING MAGIC: proof-script-highlight-error-face @deffn Face proof-script-highlight-error-face Proof General face for highlighting an error in the proof script. @end deffn @c TEXI DOCSTRING MAGIC: proof-mouse-highlight-face @deffn Face proof-mouse-highlight-face General mouse highlighting face used in script buffer. @end deffn @c TEXI DOCSTRING MAGIC: proof-highlight-dependent-face @deffn Face proof-highlight-dependent-face Face for showing (backwards) dependent parts. @end deffn @c TEXI DOCSTRING MAGIC: proof-highlight-dependency-face @deffn Face proof-highlight-dependency-face Face for showing (forwards) dependencies. @end deffn @c TEXI DOCSTRING MAGIC: proof-declaration-name-face @deffn Face proof-declaration-name-face Face for declaration names in proof scripts.@* Exactly what uses this face depends on the proof assistant. @end deffn @c TEXI DOCSTRING MAGIC: proof-tacticals-name-face @deffn Face proof-tacticals-name-face Face for names of tacticals in proof scripts.@* Exactly what uses this face depends on the proof assistant. @end deffn @node Goals and response faces @subsection Goals and response faces @c TEXI DOCSTRING MAGIC: proof-error-face @deffn Face proof-error-face Face for error messages from proof assistant. @end deffn @c TEXI DOCSTRING MAGIC: proof-warning-face @deffn Face proof-warning-face Face for warning messages.@* Warning messages can come from proof assistant or from Proof General itself. @end deffn @c TEXI DOCSTRING MAGIC: proof-debug-message-face @deffn Face proof-debug-message-face Face for debugging messages from Proof General. @end deffn @c TEXI DOCSTRING MAGIC: proof-boring-face @deffn Face proof-boring-face Face for boring text in proof assistant output. @end deffn @c TEXI DOCSTRING MAGIC: proof-active-area-face @deffn Face proof-active-area-face Face for showing active areas (clickable regions), outside of subterm markup. @end deffn @c TEXI DOCSTRING MAGIC: proof-eager-annotation-face @deffn Face proof-eager-annotation-face Face for important messages from proof assistant. @end deffn @c Maybe this detail of explanation belongs in the internals, @c with just a hint here. The slightly bizarre name of the last face comes from the idea that while large amounts of output are being sent from the prover, some messages should be displayed to the user while the bulk of the output is hidden. The messages which are displayed may have a special annotation to help Proof General recognize them, and this is an "eager" annotation in the sense that it should be processed as soon as it is observed by Proof General. @node Tweaking configuration settings @section Tweaking configuration settings This section is a note for advanced users. Configuration settings are the per-prover customizations of Proof General. These are not intended to be adjusted by the user. But occasionally you may like to test changes to these settings to improve the way Proof General works. You may want to do this when a proof assistant has a flexible proof script language in which one can define new tactics or even operations, and you want Proof General to recognize some of these which the default settings don't mention. So please feel free to try adjusting the configuration settings and report to us if you find better default values than the ones we have provided. The configuration settings appear in the customization group @code{prover-config}, or via the menu @lisp Proof-General -> Internals -> Prover Config @end lisp One basic example of a setting you may like to tweak is: @c TEXI DOCSTRING MAGIC: proof-assistant-home-page @defvar proof-assistant-home-page Web address for information on proof assistant.@* Used for Proof General's help menu. @end defvar Most of the others are more complicated. For more details of the settings, see @i{Adapting Proof General} for full details. To browse the settings, you can look through the customization groups @code{prover-config}, @code{proof-script} and @code{proof-shell}. The group @code{proof-script} contains the configuration variables for scripting, and the group @code{proof-shell} contains those for interacting with the proof assistant. Unfortunately, although you can use the customization mechanism to set and save these variables, saving them may have no practical effect because the default settings are mostly hard-wired into the proof assistant code. Ones we expect may need changing appear as proof assistant specific configurations. For example, @code{proof-assistant-home-page} is set in the LEGO code from the value of the customization setting @code{lego-www-home-page}. At present there is no easy way to save changes to other configuration variables across sessions, other than by editing the source code. (In future versions of Proof General, we plan to make all configuration settings editable in Customize, by shadowing the settings as prover specific ones using the @code{@emph{PA}-} mechanism). @c Please contact us if this proves to be a problem for any variable. @c ================================================================= @c @c CHAPTER @c @node Hints and Tips @chapter Hints and Tips Apart from the packages officially supported in Proof General, many other features of Emacs are useful when using Proof General, even though they need no specific configuration for Proof General. It is worth taking a bit of time to explore the Emacs manual to find out about them. Here we provide some hints and tips for a couple of Emacs features which users have found valuable with Proof General. Further contributions to this chapter are welcomed! @menu * Adding your own keybindings:: * Using file variables:: * Using abbreviations:: @end menu @node Adding your own keybindings @section Adding your own keybindings @cindex keybindings Proof General follows Emacs convention for file modes in using @key{C-c} prefix key-bindings for its own functions, which is why some of the default keyboard short-cuts are quite lengthy. Some users may prefer to add additional key-bindings for shorter sequences. This can be done interactively with the command @code{M-x local-set-key}, or for longevity, by adding code like this to your @file{.emacs} file: @lisp (eval-after-load "proof-script" '(progn (define-key proof-mode-map [(control n)] 'proof-assert-next-command-interactive) (define-key proof-mode-map [(control b)] 'proof-undo-last-successful-command) )) @end lisp This lisp fragment adds bindings for every buffer in proof script mode (the Emacs keymap is called @code{proof-mode-map}). To just affect one prover, use a keymap name like @code{isar-mode-map} and evaluate after the library @code{isar} has been loaded. To find the names of the functions you may want to bind, look in this manual, or query current bindings interactively with @kbd{C-h k}. This command (@code{describe-key}) works for menu operations as well; also use it to discover the current key-bindings which you're losing by declarations such as those above. By default, @kbd{C-n} is @code{next-line} and @kbd{C-b} is @code{backward-char-command}; neither are really needed if you have working cursor keys. If your keyboard has a @i{super} modifier (on my PC keyboard it has a Windows symbol and is next to the control key), you can freely bind keys on that modifier globally (since none are used by default). Use lisp like this: @lisp (global-set-key [?\s-l] 'maths-menu-insert-lambda) (global-set-key [?\s-l] 'maths-menu-insert-lambda) (global-set-key [?\s-l] 'maths-menu-insert-lambda) (global-set-key [?\s-L] 'maths-menu-insert-Lambda) (global-set-key [?\s-D] 'maths-menu-insert-Delta) (global-set-key [?\s-a] 'maths-menu-insert-for-all) (global-set-key [?\s-e] 'maths-menu-insert-there-exists) (global-set-key [?\s-t] 'maths-menu-insert-down-tack) (global-set-key [?\s-b] 'maths-menu-insert-up-tack) (global-set-key [?\s-\#] 'maths-menu-insert-music-sharp-sign) (global-set-key [?\s-\.] 'maths-menu-insert-horizontal-ellipsis) (global-set-key [?\s-3] 'proof-three-window-toggle) @end lisp This defines a bunch of short-cuts for inserting symbols taken from the Maths Menu, @pxref{Unicode symbols and special layout support} and a short-cut for enabling three window mode, @pxref{Display customization}. @node Using file variables @section Using file variables @cindex file variables A very convenient way to customize file-specific variables is to use File Variables (@inforef{File Variables, ,emacs}). This feature of Emacs permits to specify values for certain Emacs variables when a file is loaded. File variables and their values are written as a list at the end of the file. @b{Remark 1:} The examples in the following are for Coq but the trick is applicable to other provers. @b{Remark 2:} For Coq specifically, there is a recommended other way of configuring Coq options: project files (@ref{Using the Coq project file}). Actually, project files are intended to be included in the distribution of a library (and included in its repository), so the Coq options specified in project files are supposed to work for all users. In contrast, user-defined options such as @code{coq-prog-name} should preferably be specified in a directory-local-variables file (see below). For example, in Coq projects involving multiple directories, it is necessary to set the variable @code{coq-load-path} (@ref{Customizing Coq Multiple File Support}). Here is an example: Assume the file @file{.../dir/bar/foo.v} depends on modules in @code{.../dir/theories/}. Then you can put the following at the end of @file{foo.v}: @lisp (* *** Local Variables: *** *** coq-load-path: ("../theories") *** *** End: *** *) @end lisp This way, the right command line arguments are passed to the invocation of @code{coqtop} when scripting starts in @file{foo.v}. Note that the load path @code{"../theories"} is project or even file specific, and that therefore a global setting via the configuration tool would be inappropriate. With file variables, Emacs will set @code{coq-load-path} automatically when visiting @code{foo.v}. Moreover, the setting of @code{coq-load-path} in different files or buffers will not be affected. (File variables become buffer local.) Extending the previous example, if the makefile for @file{foo.v} is located in directory @file{.../dir/}, you can add the right compile command. You can also specify a "-R" command. And if you want a non standard coq executable to be used, here is what you should put in variables: @lisp (* *** Local Variables: *** *** coq-prog-name: "../../coqsrc/bin/coqtop" *** *** coq-load-path: (("../util" "util") "../theories") *** *** compile-command: "make -C .. -k bar/foo.vo" *** *** End:*** *) @end lisp And then the right call to make will be done if you use the @kbd{M-x compile} command. Note that the lines are commented in order to be ignored by the proof assistant. It is possible to use this mechanism for all variables, @inforef{File Variables, ,emacs}. One can also specify file variables on a per directory basis, @inforef{Directory Variables, ,emacs}. For instance, assume you have a Coq project with several subdirectories and you want to put each subdirectory into @code{coq-load-path} for every file in the project. You can achieve this by storing @lisp ((coq-mode . ((coq-load-path . (("../util" "util") "../theories"))))) @end lisp into the file @code{.dir-locals.el} in one of the parent directories. The value in this file must be an alist that maps mode names to alists, where these latter alists map variables to values. You can aso put arbitrary code in this file @inforef{Directory Variables, ,emacs}. Regarding the configuration of the @code{coq-prog-name} variable, the @code{.dir-locals.el} file should contain something like: @lisp ((coq-mode . ((coq-prog-name . ".../path/to/coqtop")))) @end lisp @emph{Note:} if you add such content to the @code{.dir-locals.el} file you should restart Emacs to take this change into account (or just run @kbd{M-x proof-shell-exit RET yes RET} and @kbd{M-x normal-mode RET} in the Coq buffer before restarting the Coq process). @node Using abbreviations @section Using abbreviations A very useful package of Emacs supports automatic expansions of abbreviations as you type, @inforef{Abbrevs, ,emacs}. For example, the proof assistant Coq has many command strings that are long, such as ``reflexivity,'' ``Inductive,'' ``Definition'' and ``Discriminate.'' Here is a part of the Coq Proof General abbreviations: @lisp "abs" "absurd " "ap" "apply " "as" "assumption" @end lisp The above list was taken from the file that Emacs saves between sessions. The easiest way to configure abbreviations is as you write, by using the key presses @kbd{C-x a g} (@code{add-global-abbrev}) or @kbd{C-x a i g} (@code{inverse-add-global-abbrev}). To enable automatic expansion of abbreviations (which can be annoying), the @code{Abbrev} minor mode, type @kbd{M-x abbrev-mode RET}. When you are not in Abbrev mode you can expand an abbreviation by pressing @kbd{C-x '} (@code{expand-abbrev}). See the Emacs manual for more details. Coq Proof General has a special experimental feature called "Holes" which makes use of the abbreviation mechanism and includes a large list of command abbreviations. @xref{Holes feature}, for details. With other provers, you may use the standard Emacs commands above to set up your own abbreviation tables. @c ================================================================= @c @c CHAPTER: LEGO Proof General @c @node LEGO Proof General @chapter LEGO Proof General @cindex LEGO Proof General LEGO proof script mode is a mode derived from proof script mode for editing LEGO scripts. An important convention is that proof script buffers @emph{must} start with a module declaration. If the proof script buffer's file name is @file{fermat.l}, then it must commence with a declaration of the form @lisp Module fermat; @end lisp If, in the development of the module @samp{fermat}, you require material from other module e.g., @samp{lib_nat} and @samp{galois}, you need to specify this dependency as part of the module declaration: @lisp Module fermat Import lib_nat galois; @end lisp No need to worry too much about efficiency. When you retract back to a module declaration to add a new import item, LEGO does not actually retract the previously imported modules. Therefore, reasserting the extended module declaration really only processes the newly imported modules. Using the LEGO Proof General, you never ever need to use administrative LEGO commands such as @samp{Forget}, @samp{ForgetMark}, @samp{KillRef}, @samp{Load}, @samp{Make}, @samp{Reload} and @samp{Undo} again @footnote{And please, don't even think of including those in your LEGO proof script!}. @menu * LEGO specific commands:: * LEGO tags:: * LEGO customizations:: @end menu @node LEGO specific commands @section LEGO specific commands In addition to the commands provided by the generic Proof General (as discussed in the previous sections) the LEGO Proof General provides a few extensions. In proof scripts, there are some abbreviations for common commands: @kindex C-c C-a C-i @kindex C-c C-a C-I @kindex C-c C-a C-R @table @kbd @item C-c C-a C-i intros @item C-c C-a C-I Intros @item C-c C-a C-R Refine @end table @node LEGO tags @section LEGO tags You might want to ask your local system administrator to tag the directories @file{lib_Prop}, @file{lib_Type} and @file{lib_TYPE} of the LEGO library. See @ref{Support for tags}, for further details on tags. @node LEGO customizations @section LEGO customizations We refer to chapter @ref{Customizing Proof General}, for an introduction to the customisation mechanism. In addition to customizations at the generic level, for LEGO you can also customize: @defopt lego-tags The directory of the @var{tags} table for the @var{lego} library The default value is @code{"/usr/lib/lego/lib_Type/"}. @end defopt @defvar lego-www-home-page Lego home page URL. @end defvar @c We don't worry about the following for now. These are too obscure. @c lego-indent @c lego-test-all-name @c We also don't document any of the internal variables which have been @c set to configure the generic Proof General and which the user should @c not tamper with @c ================================================================= @c @c CHAPTER: Coq Proof General @c @node Coq Proof General @chapter Coq Proof General Coq Proof General is an instantiation of Proof General for the Coq proof assistant. It supports most of the generic features of Proof General. @menu * Coq-specific commands:: * Using the Coq project file:: * Multiple File Support:: * Editing multiple proofs:: * User-loaded tactics:: * Holes feature:: * Proof-Tree Visualization:: @end menu @node Coq-specific commands @section Coq-specific commands @kindex C-c C-a C-i @kindex C-c C-a C-a @kindex C-c C-a C-b @kindex C-c C-a C-s @kindex C-c C-a C-) @kindex C-c C-a C-p @kindex C-c C-a C-c @kindex C-c C-a C-o Coq Proof General supplies the following key-bindings: @table @kbd @item C-c C-a C-i Inserts ``intros '' and also introduces the name of the hypothesis proposed by coq on the current goal. @item C-c C-a C-s Show the goal (enter for the current goal, i for the ith goal). Add the prefix C-u to see the answer with all pretty printing options temporarily disable (Set Printing All). @item C-c C-a C-c Prompts for ``Check '' query arguments, the default input name is built from the identifier under the cursor. Add the prefix C-u to see the answer with all pretty printing options temporarily disable (Set Printing All). @item C-c C-a C-p The same for a ``Print '' query. @item C-c C-a C-b The same for a ``About '' query. @item C-c C-a C-a The same for a ``SearchAbout '' query (no C-u prefix). @item C-c C-a C-o The same for a Search ``SearchIsos'' (no C-u prefix). @item C-c C-a C-) Inserts ``End .'' (this should work well with nested sections). @end table @node Using the Coq project file @section Using the Coq project file The Coq project file is the recommended way to configure the Coq load path and the mapping of logical module names to physical file path'. The project file is typically named @code{_CoqProject} and must be located at the directory root of your Coq project. Proof General searches for the Coq project file starting at the current directory and walking the directory structure upwards. The Coq project file contains the common options (especially @code{-R}) and a list of the files of the project, see the Coq reference manual, Section 15.3, ``Creating a Makefile for Coq modules''. The Coq project file should contain something like: @verbatim -R foo bar -I foo2 -arg -foo3 file.v bar/other_file.v ... @end verbatim Proof General only extracts the common options from the Coq project file and uses them for @code{coqtop} background processes as well as for @code{coqdep} and @code{coqc} when you use the auto compilation feature, @ref{Automatic Compilation in Detail}. For the example above, Proof General will start @code{coqtop -foo3 -R foo bar -I foo2}. @emph{Remarque:} @code{-arg} must be followed by one and only one option to pass to coqtop/coqc, use several @code{-arg} to issue several options. One per line (limitation of Proof General). For backward compatibility, one can also configure the load path with the option @code{coq-load-path}, but this is not compatible with @code{CoqIde} or @code{coq_makefile}. @menu * Changing the name of the coq project file:: * Disabling the coq project file mechanism:: @end menu @node Changing the name of the coq project file @subsection Changing the name of the coq project file To change the name of the Coq project file, configure @code{coq-project-filename} (select menu @code{Proof-General -> Advanced -> Customize -> Coq} and scroll down to ``Coq Project Filename''). Customizing @code{coq-project-filename} this way will change the Coq project file name permanently and globally. If you only want to change the name of the Coq project file for one project you can set the option as local file variable, @ref{Using file variables}. This can be done either directly in every file or once for all files of a directory tree with a @code{.dir-local.el} file, @inforef{Directory Variables, ,emacs}. The file @code{.dir-local.el} should then contain @lisp ((coq-mode . ((coq-project-filename . "myprojectfile")))) @end lisp Note that variables set in @code{.dir-local.el} are automatically made buffer local (such that files in different directories can have their independent setting of @code{coq-project-filename}). If you make complex customizations using @code{eval} in @code{.dir-local.el}, you might want to add appropriate calls to @code{make-local-variable}. Documentation of the user option @code{coq-project-filename}: @c TEXI DOCSTRING MAGIC: coq-project-filename @defvar coq-project-filename The name of coq project file.@* The coq project file of a coq developpement (Cf Coq documentation on "makefile generation") should contain the arguments given to coq_makefile. In particular it contains the -I and -R options (preferably one per line). If @samp{coq-use-coqproject} is t (default) the content of this file will be used by proofgeneral to infer the @samp{@code{coq-load-path}} and the @samp{@code{coq-prog-args}} variables that set the coqtop invocation by proofgeneral. This is now the recommended way of configuring the coqtop invocation. Local file variables may still be used to override the coq project file's configuration. .dir-locals.el files also work and override project file settings. @end defvar @node Disabling the coq project file mechanism @subsection Disabling the coq project file mechanism To disable the Coq project file feature in Proof General, set @code{coq-use-project-file} to nil (select menu @code{Proof-General -> Advanced -> Customize -> Coq} and scroll down to ``Coq Use Project File''). @c TEXI DOCSTRING MAGIC: coq-use-project-file @defvar coq-use-project-file If t, when opening a coq file read the dominating _CoqProject.@* If t, when a coq file is opened, Proof General will look for a project file (see @samp{@code{coq-project-filename}}) somewhere in the current directory or its parent directories. If there is one, its contents are read and used to determine the arguments that must be given to coqtop. In particular it sets the load path (including the -R lib options) (see @samp{@code{coq-load-path}}). @end defvar You can also use the .dir-locals.el as above to configure this setting on a per project basis. @node Multiple File Support @section Multiple File Support Since version 4.1 Coq Proof General has multiple file support. It consists of the following points: @table @asis @item Restarting @code{coqtop} when changing the active scripting buffer Different buffers may require different load path' or different sets of @code{-I} options. Because Coq cannot undo changes in the load path, Proof General is forced to restart @code{coqtop} when the active scripting buffer changes. @item Locking ancestors Locking those buffers on which the current active scripting buffer depends. This is controlled by the user option @code{coq-lock-ancestors}, @ref{Customizing Coq Multiple File Support} and @ref{Locking Ancestors}. @item (Re-)Compilation Before a @code{Require} command is processed it may be necessary to save and compile some buffers. Because this feature conflicts with existing customization habits, it is switched off by default. When it is properly configured, one can freely switch between different buffers. Proof General will compile the necessary files whenever a @code{Require} command is processed. The compilation feature does currently not support ML modules. @end table There are actually two implementations of the Recompilation feature. @table @asis @item Parallel asynchronous compilation (stable, default) With parallel compilation, coqdep and coqc are launched in the background and Proof General stays responsive during compilation. Up to `coq-max-background-compilation-jobs' coqdep and coqc processes may run in parallel. Coq 8.5 quick compilation is supported with various modes, @ref{Quick compilation and .vio Files}. @item Synchronous single threaded compilation (obsolete) With synchronous compilation, coqdep and coqc are called synchronously for each Require command. Proof General is locked until the compilation finishes. Coq 8.5 quick compilation is not supported with synchronously compilation. @end table To enable the automatic compilation feature, you have to follow these points: @itemize @bullet @item Set the option @code{coq-compile-before-require} (menu @code{Coq -> Auto Compilation -> Compile Before Require}) to enable compilation before processing @code{Require} commands and set @code{coq-compile-parallel-in-background} (menu @code{Coq -> Auto Compilation -> Parallel background compilation}) for parallel asynchronous compilation (recommended). @item Nonstandard load path elements @emph{must} be configured via a Coq project file (this is the recommended option), @ref{Using the Coq project file} or via option @code{coq-load-path}. @code{-I} or @code{-R} options in @code{coq-prog-name} or @code{coq-prog-args} must be deleted. @item Configure @code{coq-max-background-compilation-jobs} if you want to limit the number of parallel background jobs and set @code{coq-compile-keep-going} (menu @code{Coq -> Auto Compilation -> Keep going}) to let compilation continue after the first error. @end itemize To abort parallel background compilation, use @code{C-c C-c} (@code{proof-interrupt-process}), the tool bar interrupt icon, the menu entry @code{Abort Background Compilation} (menu @code{Coq -> Auto Compilation}) or kill the Coq toplevel via @code{C-c C-x} (@code{proof-shell-exit}). To abort synchronous single threaded compilation, simply hit @code{C-g}. @menu * Automatic Compilation in Detail:: * Locking Ancestors:: * Quick compilation and .vio Files:: * Customizing Coq Multiple File Support:: * Current Limitations:: @end menu @node Automatic Compilation in Detail @subsection Automatic Compilation in Detail When @code{coq-compile-before-require} is enabled, Proof General looks for @code{Require} commands in text that gets asserted (i.e., in text that is moved from the editing region to the queue region, @ref{Locked queue and editing regions}). If Proof General finds a @code{Require} command, it checks the dependencies and (re-)compiles files as necessary. The Require command and the following text is only sent to Coq after the compilation finished. @code{Declare ML Module} commands are currently not recognized. Proof General uses @code{coqdep} in order to translate the qualified identifiers in @code{Require} commands to coq library file names and to determine library dependencies. Because Proof General cannot know whether files are updated outside of Emacs, it checks for every @code{Require} command the complete dependency tree and recompiles files as necessary. Output from the compilation is only shown in case of errors. It then appears in the buffer @code{*coq-compile-response*}. One can use @code{C-x `} (bound to @code{next-error}, @inforef{Compilation Mode,,emacs}) to jump to error locations. Sometimes the compilation commands do not produce error messages with location information, then @code{C-x `} does only work in a limited way. For Coq version 8.5 or newer, the option @code{coq-compile-quick} controls how @code{-quick} and @code{.vio} files are used, @ref{Quick compilation and .vio Files}. This can also be configured in the menu @code{Coq -> Auto Compilation}. Similar to @code{make -k}, background compilation can be configured to continue as far as possible after the first error, see option @code{coq-compile-keep-going} (menu @code{Coq -> Auto Compilation -> Keep going}). The keep-going option only applies to errors from @code{coqdep} and @code{coqc}. For all other errors (for instance when the translation from logical module names to physical files fails or when starting @code{coqc} or @code{coqdep} fails), the compilation is immediately aborted. When a @code{Require} command causes a compilation of some files, one may wish to save some buffers to disk beforehand. The option @code{coq-compile-auto-save} controls how and which files are saved. There are two orthogonal choices: One may wish to save all or only the Coq source files, and, one may or may not want to confirm the saving of each file. With `coq-compile-parallel-in-background' (menu @code{Coq -> Settings -> Compile Parallel In Background}) you can choose between two implementations of internal compilation. @table @asis @item Synchronous single threaded compilation This is the old, now outdated version supported since Proof General 4.1. This method starts coqdep and coqc processes one after each other in synchronous subprocesses. Your Emacs session will be locked until compilation finishes. Use @code{C-g} to interrupt compilation. This method supports compilation via an external command (such as @code{make}), see option @code{coq-compile-command} in @ref{Customizing Coq Multiple File Support} below. Synchronous compilation does not support the quick compilation of Coq 8.5. @item Parallel asynchronous compilation This is the newer and default version added in Proof General version 4.3. It runs up to @code{coq-max-background-compilation-jobs} coqdep and coqc jobs in parallel in asynchronous subprocesses (or uses all your CPU cores if @code{coq-max-background-compilation-jobs} equals @code{'all-cpus}). Your Emacs will stay responsive during compilation. To abort the background compilation process, use @code{C-c C-c} (@code{proof-interrupt-process}), the tool bar interrupt icon, the menu entry @code{Abort Background Compilation} (menu @code{Coq -> Auto Compilation}) or kill the Coq toplevel via @code{C-c C-x} (@code{proof-shell-exit}). For the usual case, you have at most `coq-max-background-compilation-jobs' parallel processes @emph{including} your Proof General process. The usual case applies, when the Require commands are the first commands in the file. If you have other commands between two Require commands or before the first Require, then you may see Proof General and Coq running in addition to `coq-max-background-compilation-jobs' compilation jobs. Depending on the setting of @code{coq-compile-quick} (which can also be set via menu @code{Coq -> Auto Compilation}) Proof General produces @code{.vio} or @code{.vo} files and deletes outdated @code{.vio} or @code{.vo} files to ensure Coq does not load outdated files. When @code{quick-and-vio2vo} is selected a vio2vo compilation starts when the @code{Require} command had been processed, @ref{Quick compilation and .vio Files}. Actually, even with this method, not everything runs asynchronously. To translate module identifiers from the Coq sources into file names, Proof General runs coqdep on an automatically generated, one-line file. These coqdep jobs run synchronously while the Require commands are parsed. The coqdep jobs on the real source files do run asynchronously in the background. @end table @node Locking Ancestors @subsection Locking Ancestors Locking ancestor files works as a side effect of dependency checking. This means that ancestor locking does only work when Proof General performs dependency checking and compilation itself. If an external command is used, Proof General does not see all dependencies and can therefore only lock direct ancestors. In the default setting, when you want to edit a locked ancestor, you are forced to completely retract the current scripting buffer. You can simplify this by setting @code{proof-strict-read-only} to @code{'retract} (menu @code{Proof-General -> Quick Options -> Read Only -> Undo On Edit}). Then typing in some ancestor will immediately retract you current scripting buffer and unlock that ancestor. You have two choices, if you don't like ancestor locking in its default way. You can either switch ancestor locking completely off via menu @code{Coq -> Auto Compilation -> Lock Ancestors} or @code{coq-lock-ancestors} (@ref{Customizing Coq Multiple File Support}). Alternatively, you can generally permit editing in locked sections with selecting @code{Proof-General} -> @code{Quick Options} -> @code{Read Only} -> @code{Freely Edit} (which will set the option @code{proof-strict-read-only} to @code{nil}). [The right behaviour for Coq, namely to retract the current scripting buffer only up to the appropriate @code{Require} command, would be quite difficult to implement in the current Proof General infrastructure. Further, it has only dubious benefit, as Require commands are usually on the top of each file.] @node Quick compilation and .vio Files @subsection Quick compilation and .vio Files Proof General supports quick compilation only with the parallel asynchronous compilation. There are 4 modes that can be configured with @code{coq-compile-quick} or by selecting one of the radio buttons in the @code{Coq -> Auto Compilation -> Quick compilation} menu. Use the default @code{no-quick}, if you have not yet switched to @code{Proof using}. Use @code{quick-no-vio2vo}, if you want quick recompilation without producing .vo files. Option @code{quick-and-vio2vo} recompiles with @code{-quick} as @code{quick-no-vio2vo} does, but schedules a vio2vo compilation for missing @code{.vo} files after a certain delay. Finally, use @code{ensure-vo} for only importing @code{.vo} files with complete universe checks. Note that with all of @code{no-quick}, @code{quick-no-vio2vo} and @code{quick-and-vio2vo} your development might be unsound because universe constraints are not fully present in @code{.vio} files. There are a few peculiarities of quick compilation in Coq 8.5 that one should be aware of. @itemize @item Quick compilation runs noticeably slower when section variables are not declared via @code{Proof using}. @item Even when section variables are declared, quick compilation runs slower on very small files, probably because of the comparatively big size of the @code{.vio} files. You can speed up quick compilation noticeably by running on a RAM disk. @item If both, the @code{.vo} and the @code{.vio} files are present, Coq load the more recent one, regardless of whether @code{-quick}, and emits a warning when the @code{.vio} is more recent than the @code{.vo}. @item Under some circumstances, files compiled when only the @code{.vio} file of some library was present are not compatible with (other) files compiled when also the @code{.vo} file of that library was present, see Coq issue #5223 for details. As a rule of thumb one should run vio2vo compilation only before or after library loading. @item Apart from the previous point, Coq works fine when libraries are present as a mixture of @code{.vio} and @code{.vo} files. While @code{make} insists on building all prerequisites as either @code{.vio} or @code{.vo} files, Proof General just checks whether an up-to-date compiled library file is present. @item To ensure soundness, all library dependencies must be compiled as @code{.vo} files and loaded into one Coq instance. @end itemize Detailed description of the 4 modes: @table @code @item no-quick Compile outdated prerequisites without @code{-quick}, producing @code{.vo} files, but don't compile prerequisites for which an up-to-date @code{.vio} file exists. Delete or overwrite outdated @code{.vo} files. @item quick-no-vio2vo Compile outdated prerequisites with @code{-quick}, producing @code{.vio} files, but don't compile prerequisites for which an up-to-date @code{.vo} file exists. Delete or overwrite outdated @code{.vio} files. @item quick-and-vio2vo Same as @code{quick-no-vio2vo}, but start vio2vo processes for missing @code{.vo} files after a certain delay when library compilation for the current queue region has finished. With this mode you might see asynchronous errors from vio2vo compilation while you are processing stuff far below the last require. vio2vo compilation is done on a subset of the available cores controlled by option @code{coq-compile-vio2vo-percentage}, @ref{Customizing Coq Multiple File Support}. When @code{coq-compile-keep-going} is set, vio2vo compilation is scheduled for those files for which @code{coqc} compilation was successful. @emph{Warning}: This mode does only work when you process require commands in batches. Slowly single-stepping through require's might lead to inconsistency errors when loading some libraries, see Coq issue #5223. To mitigate this risk, vio2vo compilation only starts after a certain delay after the last require command of the current queue region has been processed. This is controlled by @code{coq-compile-vio2vo-delay}, @ref{Customizing Coq Multiple File Support}. @item ensure-vo Ensure that all library dependencies are present as @code{.vo} files and delete outdated @code{.vio} files or @code{.vio} files that are more recent than the corresponding @code{.vo} file. This setting is the only one that ensures soundness. @end table The options @code{no-quick} and @code{ensure-vo} are compatible with Coq 8.4 or older. When Proof General detects such an older Coq version, it changes the quick compilation mode automatically. For this to work, the option @code{coq-compile-quick} must only be set via the customization system or via the menu. @node Customizing Coq Multiple File Support @subsection Customizing Coq Multiple File Support The customization settings for multiple file support of Coq Proof General are in a separate customization group, the @code{coq-auto-compile} group. To view all options in this group do @code{M-x customize-group coq-auto-compile} or select menu entry @code{Proof-General -> Advanced -> Customize -> Coq -> Coq Auto Compile -> Coq Auto Compile}. @c TEXI DOCSTRING MAGIC: coq-compile-before-require @defvar coq-compile-before-require If non-nil, check dependencies of required modules and compile if necessary.@* If non-nil ProofGeneral intercepts "Require" commands and checks if the required library module and its dependencies are up-to-date. If not, they are compiled from the sources before the "Require" command is processed. This option can be set/reset via menu @samp{Coq -> Auto Compilation -> Compile Before Require}. @end defvar @c TEXI DOCSTRING MAGIC: coq-compile-auto-save @defvar coq-compile-auto-save Buffers to save before checking dependencies for compilation.@* There are two orthogonal choices: Firstly one can save all or only the coq buffers, where coq buffers means all buffers in coq mode except the current buffer. Secondly, Emacs can ask about each such buffer or save all of them unconditionally. This makes four permitted values: @code{'ask-coq} to confirm saving all modified Coq buffers, @code{'ask-all} to confirm saving all modified buffers, @code{'save-coq} to save all modified Coq buffers without confirmation and @code{'save-all} to save all modified buffers without confirmation. This option can be set via menu @samp{Coq -> Auto Compilation -> Auto Save}. @end defvar The following options configure parallel compilation. @c TEXI DOCSTRING MAGIC: coq-compile-parallel-in-background @defvar coq-compile-parallel-in-background Choose the internal compilation method.@* When Proof General compiles itself, you have the choice between two implementations. If this setting is nil, then Proof General uses the old implementation and compiles everything sequentially with synchronous job. With this old method Proof General is locked during compilation. If this setting is t, then the new method is used and compilation jobs are dispatched in parallel in the background. The maximal number of parallel compilation jobs is set with @samp{@code{coq-max-background-compilation-jobs}}. This option can be set/reset via menu @samp{Coq -> Auto Compilation -> Compile Parallel In Background}. @end defvar The option @code{coq-compile-quick} is described in detail above, @ref{Quick compilation and .vio Files} @c TEXI DOCSTRING MAGIC: coq-compile-keep-going @defvar coq-compile-keep-going Continue compilation after the first error as far as possible.@* Similar to @samp{`make -k}', with this option enabled, the background compilation continues after the first error as far as possible. With this option disabled, background compilation is immediately stopped after the first error. This option can be set/reset via menu @samp{Coq -> Auto Compilation -> Keep going}. @end defvar @c TEXI DOCSTRING MAGIC: coq-max-background-compilation-jobs @defvar coq-max-background-compilation-jobs Maximal number of parallel jobs, if parallel compilation is enabled.@* Use the number of available CPU cores if this is set to @code{'all-cpus}. This variable is the user setting. The value that is really used is @samp{@code{coq--internal-max-jobs}}. Use @samp{@code{coq-max-jobs-setter}} or the customization system to change this variable. Otherwise your change will have no effect, because @samp{@code{coq--internal-max-jobs}} is not adapted. @end defvar @c TEXI DOCSTRING MAGIC: coq-max-background-vio2vo-percentage @defvar coq-max-background-vio2vo-percentage Percentage of @samp{@code{coq-max-background-vio2vo-percentage}} for vio2vo jobs.@* This setting configures the maximal number of vio2vo background jobs (if you set @samp{@code{coq-compile-quick}} to @code{'quick-and-vio2vo}) as percentage of @samp{@code{coq-max-background-compilation-jobs}}. @end defvar @c TEXI DOCSTRING MAGIC: coq-compile-vio2vo-delay @defvar coq-compile-vio2vo-delay Delay in seconds for the vio2vo compilation.@* This delay helps to avoid running into a library inconsistency with @code{'quick-and-vio2vo}, see Coq issue #@var{5223}. @end defvar Locking ancestors can be disabled with the following option. @c TEXI DOCSTRING MAGIC: coq-lock-ancestors @defvar coq-lock-ancestors If non-nil, lock ancestor module files.@* If external compilation is used (via @samp{@code{coq-compile-command}}) then only the direct ancestors are locked. Otherwise all ancestors are locked when the "Require" command is processed. This option can be set via menu @samp{Coq -> Auto Compilation -> Lock Ancestors}. @end defvar The sequential compilation setting supports an external compilation command (which could be a parallel running @code{make}). For this set @code{coq-compile-parallel-in-background} to @code{nil} and configure the compilation command in @code{coq-compile-command}. @c TEXI DOCSTRING MAGIC: coq-compile-command @defvar coq-compile-command External compilation command. If empty ProofGeneral compiles itself.@* If unset (the empty string) ProofGeneral computes the dependencies of required modules with coqdep and compiles as necessary. This internal dependency checking does currently not handle ML modules. If a non-empty string, the denoted command is called to do the dependency checking and compilation. Before executing this command the following keys are substituted as follows: @lisp %p the (physical) directory containing the source of the required module %o the Coq object file in the physical directory that will be loaded %s the Coq source file in the physical directory whose object will be loaded %q the qualified id of the "Require" command %r the source file containing the "Require" @end lisp For instance, "make -C %p %o" expands to "make -C bar foo.vo" when module "foo" from directory "bar" is required. After the substitution the command can be changed in the minibuffer if @samp{@code{coq-confirm-external-compilation}} is t. @end defvar @c TEXI DOCSTRING MAGIC: coq-confirm-external-compilation @defvar coq-confirm-external-compilation If set let user change and confirm the compilation command.@* Otherwise start the external compilation without confirmation. This option can be set/reset via menu @samp{Coq -> Auto Compilation -> Confirm External Compilation}. @end defvar The preferred way to configure the load path and the mapping of logical library names to physical file path is the Coq project file, @ref{Using the Coq project file}. Alternatively one can configure these things with the following options. @c TEXI DOCSTRING MAGIC: coq-load-path @defvar coq-load-path Non-standard coq library load path.@* This list specifies the LoadPath extension for coqdep, coqc and coqtop. Usually, the elements of this list are strings (for "-I") or lists of two strings (for "-R" dir path and "-Q" dir path). The possible forms of elements of this list correspond to the 4 forms of include options (@samp{-I} @samp{-Q} and @samp{-R}). An element can be @lisp - A list of the form @samp{(}ocamlimport dir)', specifying (in 8.5) a directory to be added to ocaml path (@samp{-I}). - A list of the form @samp{(}rec dir path)' (where dir and path are strings) specifying a directory to be recursively mapped to the logical path @samp{path} (@samp{-R dir path}). - A list of the form @samp{(}recnoimport dir path)' (where dir and path are strings) specifying a directory to be recursively mapped to the logical path @samp{path} (@samp{-Q dir path}), but not imported (modules accessible for import with qualified names only). Note that -Q dir "" has a special, nonrecursive meaning. - A list of the form (8.4 only) @samp{(}nonrec dir path)', specifying a directory to be mapped to the logical path @code{'path'} ('-I dir -as path'). @end lisp For convenience the symbol @samp{rec} can be omitted and entries of the form @samp{(dir path)} are interpreted as @samp{(rec dir path)}. A plain string maps to -Q ... "" in 8.5, and -I ... in 8.4. Under normal circumstances this list does not need to contain the coq standard library or "." for the current directory (see @samp{@code{coq-load-path-include-current}}). @var{warning}: if you use coq <= 8.4, the meaning of these options is not the same (-I is for coq path). @end defvar @c TEXI DOCSTRING MAGIC: coq-load-path-include-current @defvar coq-load-path-include-current If @samp{t} let coqdep search the current directory too.@* Should be @samp{t} for normal users. If @samp{t} pass -Q dir "" to coqdep when processing files in directory "dir" in addition to any entries in @samp{@code{coq-load-path}}. This setting is only relevant with Coq < 8.5. @end defvar During library dependency checking Proof General does not dive into the Coq standard library or into libraries that are installed as user contributions. This stems from @code{coqdep}, which does not output dependencies to these directories. The internal dependency check can also ignore additional libraries. @c TEXI DOCSTRING MAGIC: coq-compile-ignored-directories @defvar coq-compile-ignored-directories Directories in which ProofGeneral should not compile modules.@* List of regular expressions for directories in which ProofGeneral should not compile modules. If a library file name matches one of the regular expressions in this list then ProofGeneral does neither compile this file nor check its dependencies for compilation. It makes sense to include non-standard coq library directories here if they are not changed and if they are so big that dependency checking takes noticeable time. The regular expressions in here are always matched against the .vo file name, regardless whether @samp{`-quick}' would be used to compile the file or not. @end defvar @node Current Limitations @subsection Current Limitations @itemize @item No support @code{Declare ML Module} commands. @item When a compiled library has the same time stamp as the source file, it is considered outdated. Some old file systems (for instance ext3) or Emacs before version 24.3 support only time stamps with one second granularity. On such configurations Proof General will perform some unnecessary compilations. @end itemize @node Editing multiple proofs @section Editing multiple proofs Coq allows the user to enter top-level commands while editing a proof script. For example, if the user realizes that the current proof will fail without an additional axiom, he or she can add that axiom to the system while in the middle of the proof. Similarly, the user can nest lemmas, beginning a new lemma while in the middle of an earlier one, and as the lemmas are proved or their proofs aborted they are popped off a stack. Coq Proof General supports this feature of Coq. Top-level commands entered while in a proof are well backtracked. If new lemmas are started, Coq Proof General lets the user work on the proof of the new lemma, and when the lemma is finished it falls back to the previous one. This is supported to any nesting depth that Coq allows. Warning! Using Coq commands for navigating inside the different proofs (@code{Resume} and especially @code{Suspend}) are not supported, backtracking will break syncronization. @b{Special note:} The old feature that moved nested proofs outside the current proof is disabled. @node User-loaded tactics @section User-loaded tactics Another feature that Coq allows is the extension of the grammar of the proof assistant by new tactic commands. This feature interacts with the proof script management of Proof General, because Proof General needs to know when a tactic is called that alters the proof state. When the user tries to retract across an extended tactic in a script, the algorithm for calculating how far to undo has a default behavior that is not always accurate in proof mode: do "@code{Undo}". Coq Proof General does not currently support dynamic tactic extension in Coq: this is desirable but requires assistance from the Coq core. Instead we provide a way to add tactic and command names in the @file{.emacs} file. Four Configurable variables allows to register personal new tactics and commands into four categories: @itemize @bullet @item @emph{state changing commands}, which need "@code{Back}" to be backtracked; @item @emph{state changing tactics}, which need "@code{Undo}" to be backtracked; @item @emph{state preserving commands}, which do not need to be backtracked; @item @emph{state preserving tactics}, which do not need to be backtracked; @end itemize We give an example of existing commands that fit each category. @itemize @bullet @item @code{coq-user-state-preserving-commands}: example: "@code{Print}" @item @code{coq-user-state-changing-commands}: example: "@code{Require}" @item @code{coq-user-state-changing-tactics}: example: "@code{Intro}" @item @code{coq-user-state-preserving-tactics}: example: "@code{Idtac}" @end itemize This variables are regexp string lists. See their documentations in emacs (@code{C-h v coq-user...}) for details on how to set them in your @file{.emacs} file. Here is a simple example: @lisp (setq coq-user-state-changing-commands '("MyHint" "MyRequire")) (setq coq-user-state-preserving-commands '("Show\\s-+Mydata")) @end lisp The regexp character sequence @code{\\s-+} means "one or more whitespaces". See the Emacs documentation of @code{regexp-quote} for the syntax and semantics. WARNING: you need to restart Emacs to make the changes to these variables effective. In case of losing synchronization, the user can use @kbd{C-c C-z} to move the locked region to the proper position, (@code{proof-frob-locked-end}, @pxref{Escaping script management}) or @kbd{C-c C-v} to re-issue an erroneously back-tracked tactic without recording it in the script. @node Holes feature @section Holes feature @emph{Holes} are an experimental feature for complex expression editing by filling in templates. It is inspired from other tools, like Pcoq (@uref{http://www-sop.inria.fr/lemme/pcoq/index.html}). The principle is simple, holes are pieces of text that can be "filled" by various means. The Coq command insertion menu system makes use of the holes system. Almost all holes operations are available in the Holes menu. @b{Notes:} Holes make use of the Emacs abbreviation mechanism, it will work without problem if you don't have an abbrev table defined for Coq in your config files. Use @code{C-h v abbrev-file-name} to see the name of the abbreviation file. If you already have such a table it won't be automatically overwritten (so that you keep your own abbreviations). But you must read the abbrev file given in the Proof General sources to be able to use the command insertion menus. You can do the following to merge your abbreviations with ProofGeneral's abbreviations: @code{M-x read-abbrev-file}, then select the file named @code{coq-abbrev.el} in the @code{ProofGeneral/coq} directory. At Emacs exit you will be asked if you want to save abbrevs; answer yes. @node Proof-Tree Visualization @section Proof-Tree Visualization Starting with Proof General version 4.2 and Coq version 8.4, Coq Proof General has full support for proof-tree visualization, @pxref{Graphical Proof-Tree Visualization}. To find out which versions of Prooftree are compatible with this version of Proof General, @pxref{Graphical Proof-Tree Visualization} or the @uref{http://askra.de/software/prooftree/, Prooftree website}. For the visualization to work properly, proofs must be started with @code{Proof}, which is encouraged practice anyway (see Coq Bug #2776). Without @code{Proof} you lose the initial proof goal, possibly having two or more initial goals in the display. To support @code{Grab Existential Variables} Prooftree can actually display several graphically independent proof trees in several layers. @c ================================================================= @c @c CHAPTER: Isabelle Proof General @c @node Isabelle Proof General @chapter Isabelle Proof General @cindex Isabelle Proof General Isabelle Proof General supports major generic features of Proof General, including integration with Isabelle's theory loader for proper automatic multiple file handling. @comment Support for tags and proof-by-pointing is missing. Isabelle provides its own way to invoke Proof General via the @code{isabelle} command. Running @code{isabelle emacs} starts an Emacs session with Isabelle Proof General. The defaults may be changed by editing the Isabelle settings, see the Isabelle documentation for details. Proof General for Isabelle manages Isar @file{.thy} files. Proof General provides reliable control over incremental execution of the text. @menu * Choosing logic and starting isabelle:: * Isabelle commands:: * Isabelle settings:: * Isabelle customizations:: @end menu @node Choosing logic and starting isabelle @section Choosing logic and starting isabelle @cindex Isabelle logic When you load an Isabelle theory file into Proof General, you may be prompted for the path to the program @code{isabelle} if it is not on the system @code{PATH} already. This is used to generate further information for invoking Isabelle, in particular, the list of available logics. The Isabelle menu offers an easy way to select the invoked object logic. If you look at the menu: @lisp Isabelle -> Logics -> @end lisp you should see the list of logics available to Isabelle. This menu is generated from the output of the command @code{isabelle findlogics}. (Similarly, the documentation menu is partly generated from @code{isabelle doc}). Instead of the menu, you can use the keyboard command @code{isabelle-chose-logic} to choose from the list. The logics list is refreshed dynamically so you can select any newly built heap images in the same Emacs session. However, notice that the choices are greyed out while Isabelle is actually runnning --- you can only switch to a new logic if you first exit Isabelle (similarly to Proof General, Isabelle operates with only one logic at a time). Another way to set the logic before Isabelle is launched is using an Emacs local variable setting inside a comment at the top of the file, see the documentation of @code{isabelle-chosen-logic} below. In case you do not have the @code{isabelle} program available or want to override its behaviour, you may set the variable @code{isabelle-program-name-override} to define the name of the executable used to start Isabelle. The standard options are and logic name are still appended. @c in fact, we also have ISABELLE_OPTIONS and PROOFGENERAL_LOGIC, @c but lets not mention these. @c TEXI DOCSTRING MAGIC: isabelle-program-name-override @defopt isabelle-program-name-override Name of executable program to run Isabelle. You can set customize this in case the automatic settings mechanism does not work for you, perhaps because isabelle is not on your path, or you are running it remotely. The logic image name is tagged onto the end. The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: isabelle-chosen-logic @defopt isabelle-chosen-logic Choice of logic to use with Isabelle.@* If non-nil, added onto the Isabelle command line for invoking Isabelle. You can set this as a file local variable, using a special comment at the top of your theory file, like this: @lisp (* -*- @code{isabelle-chosen-logic}: "ZF" -*- *) @end lisp The default value is @code{nil}. @end defopt @c TEXI DOCSTRING MAGIC: isabelle-choose-logic @deffn Command isabelle-choose-logic logic Adjust isabelle-prog-name and @code{proof-prog-name} for running @var{logic}. @end deffn @node Isabelle commands @section Isabelle commands @cindex Isabelle commands @kindex C-c C-a r @kindex C-c C-a C-q @kindex C-c C-a C-d @kindex C-c C-a C-p @kindex C-c C-a h A @kindex C-c C-a h C @kindex C-c C-a h I @kindex C-c C-a h S @kindex C-c C-a h T @kindex C-c C-a h a @kindex C-c C-a h b @kindex C-c C-a h c @kindex C-c C-a h f @kindex C-c C-a h i @kindex C-c C-a h m @kindex C-c C-a h o @kindex C-c C-a h t @kindex C-c C-a C-s @kindex C-c C-a C-m @kindex C-c C-a C-f @kindex C-c C-f The Isabelle instance of Proof General supplies several specific help key bindings; these functions are offered within the prover help menu as well. @table @kbd @item C-c C-a r Invokes Isar command @code{refute} on the current subgoal. Only available in HOL and derived logics. @item C-c C-a C-q Invokes Isar command @code{quickcheck} on the current subgoal. @item C-c C-a C-d Displays a draft document of the current theory. @item C-c C-a C-p Prints a draft document of the current theory. @item C-c C-a h A Shows available antiquotation commands and options. @item C-c C-a h C Shows the current Classical Reasoner context. @item C-c C-a h I Shows the current set of induct/cases rules. @item C-c C-a h S Shows the current Simplifier context. @item C-c C-a h T Shows the current set of transitivity rules (for calculational reasoning). @item C-c C-a h a Shows attributes available in current theory context. @item C-c C-a h b Shows all local term bindings. @item C-c C-a h c Shows all named local contexts (cases). @item C-c C-a h f Shows all local facts. @item C-c C-a h i Shows inner syntax of the current theory context (for types and terms). @item C-c C-a h m Shows proof methods available in current theory context. @item C-c C-a h o Shows all available commands of Isabelle's outer syntax. @item C-c C-a h t Shows theorems stored in the current theory node. @item C-c C-a C-s Invoke sledgehammer on first subgoal. @item C-c C-a C-m Find theorems containing given arguments (prompt in minibuffer). Invokes the @code{thms_containing} command. Arguments are separated by white space as usual in Isar. @item C-c C-a C-f Find theorems containing (argument in form) @item C-c C-f Find theorems: either of the above. @end table @comment da: this isn't a very good way!! @comment it may override settings for other provers, or have no effect, I think! @comment we should introduce specific Isar setting. @c You can customize the default behaviour of the toolbar or @c menu item for find theorems by @c setting @code{proof-find-theorems-command} @c to @c @code{isar-find-theorems-minibuffer} or @c @code{isar-find-theorems-form}. The setting @c can be customized on the menu: @c @example @c Proof-General -> Advanced -> Internals -> Prover Config @c @end example @kindex C-c C-a b @kindex C-c C-a C-b @kindex C-c C-a C-u @kindex C-c C-a C-l @kindex C-c C-a u @kindex C-c C-a l @kindex C-c C-a C-i @kindex C-c C-a C-r @kindex C-c C-a C-a The following shortcuts insert control sequences into the text, modifying the appearance of individual symbols (single letters, mathematical entities etc.); the Tokens package will provide immediate visual feedback. @table @kbd @item C-c C-a C-b Inserts "\<^bold>" (bold character) @item C-c C-a C-c Inserts "\<^loc>" (``local'' control) @item C-c C-a C-u Inserts "\<^sup>" (superscript character) @item C-c C-a C-l Inserts "\<^sub>" (subscript character) @item C-c C-a u Inserts "\<^bsup> \<^esup>" (superscript string) @item C-c C-a l Inserts "\<^bsub> \<^esub>" (subscript string) @item C-c C-a C-i Inserts "\<^isub>" (identifier subscript letter) @item C-c C-a C-r Inserts "\<^raw:>" (raw LaTeX text) @item C-c C-a C-a Inserts "@@@{text ""@}" (anti-quotation). @item C-c C-a C-x Inserts "ML @{* *@}" (inline ML code). @end table Command termination via `@code{;}' is an optional feature of Isar syntax. Neither Isabelle nor Proof General require semicolons to do their job. The following command allows to get rid of command terminators in existing texts. @c TEXI DOCSTRING MAGIC: isar-strip-terminators @deffn Command isar-strip-terminators Remove explicit Isabelle/Isar command terminators @samp{;} from the buffer. @end deffn @node Isabelle settings @section Isabelle settings The Isabelle menu also contains a @code{Settings} submenu, which allows you to configure things such as the behaviour of Isabelle's term pretty printer (display of types, sorts, etc). Note that you won't see this sub-menu until Isabelle has been started, because it is generated by Isabelle itself. Proof General, on the other hand, is responsible for recording any settings that are configured when you select @code{Isabelle -> Settings -> Save Settings}. They are stored along with the other Emacs customization settings. @node Isabelle customizations @section Isabelle customizations @cindex Isabelle customizations Here are some of the other user options specific to Isabelle. You can set these as usual with the customization mechanism. @c TEXI DOCSTRING MAGIC: isabelle-web-page @defvar isabelle-web-page URL of web page for Isabelle. @end defvar @c FIXME todo: theorem dependencies @c ================================================================= @c @c CHAPTER: HOL Light Proof General @c @node HOL Light Proof General @chapter HOL Light Proof General @cindex HOL Light Proof General HOL Light Proof General is a "technology demonstration" of Proof General for HOL Light. This means that only a basic instantiation has been provided, and that it is not yet supported as a maintained instantiation of Proof General. HOL Light Proof General has basic script management support, with a little bit of decoration of scripts and output. It does not rely on a modified version of HOL Light, so the pattern matching may be fragile in certain cases. @c Support for multiple files deduces dependencies @c automatically, so there is no interaction with the HOL make system yet. See the @file{example.ml} file for a demonstration proof script which works with Proof General. Note that HOL Light Proof Script proof scripts often use batch-oriented single step tactic proofs, but Proof General does not (yet) offer an easy way to edit these kind of proofs. They will replay simply as a single step proof and you will need to convert from the interactive to batch form as usual if you wish to obtain batch proofs. Also note that Proof General does not contain an SML parser, so there can be problems if you write complex ML in proof scripts. @c Old section was helpful on this: @xref{ML files}, for the same issue with Isabelle. HOL Light is the most recently tested version of HOL with Proof General, but the Proof General distribution also contains experimental support for HOL 4 (aka HOL 98). To improve this older version, or to support a new HOL variant, a few of the settings probably need to be tweaked to cope with small differences in output between the systems. Please let us know if you try this out and want help. We welcome any interested collaborators from the HOL communities to help improve Proof General as an interface for HOL provers. @c ================================================================= @c @c CHAPTER: EasyCrypt Proof General @c @node EasyCrypt Proof General @chapter EasyCrypt Proof General @cindex EasyCrypt Proof General @menu * EasyCrypt specific commands:: * EasyCrypt weak-check mode:: * EasyCrypt customizations:: @end menu EasyCrypt Proof General is an instantiation of Proof General for the EasyCrypt proof assistant. @node EasyCrypt specific commands @section EasyCrypt specific commands @kindex C-c C-a C-p @kindex C-c C-a C-c EasyCrypt Proof General supplies the following key-bindings: @table @kbd @item C-c C-a C-p Prompts for ``print'' query arguments. @item C-c C-a C-c The same for a ``check'' query. @end table @node EasyCrypt weak-check mode @section EasyCrypt weak-check mode The EasyCrypt menu contains a @code{Weak-check mode} toggle menu, which allows you to enable or disable the EasyCrypt Weak-Check mode. When enabled, all @code{smt} calls are ignored and assumed to succeed. @node EasyCrypt customizations @section EasyCrypt customizations Here are some of the other user options specific to EasyCrypt. You can set these as usual with the customization mechanism. @c TEXI DOCSTRING MAGIC: easycrypt-prog-name @defvar easycrypt-prog-name Name of program to run EasyCrypt. @end defvar @c TEXI DOCSTRING MAGIC: easycrypt-load-path @defvar easycrypt-load-path Non-standard EasyCrypt library load path. This list specifies the include path for EasyCrypt. @end defvar @c TEXI DOCSTRING MAGIC: easycrypt-web-page @defvar easycrypt-web-page URL of web page for EasyCrypt. @end defvar @c ================================================================= @c @c CHAPTER: Shell Proof General @c @node Shell Proof General @chapter Shell Proof General @cindex Shell Proof General This instance of Proof General is not really for proof assistants at all, but simply provided as a handy way to use a degenerate form of script management with other tools. Suppose you have a software tool of some kind with a command line interface, and you want to demonstrate several example uses of it, perhaps at a conference. But the command lines for your tool may be quite complicated, so you do not want to type them in live. Instead, you just want to cut and paste from a pre-recorded list. But watching somebody cut and paste commands into a window is almost as tedious as watching them type those commands! Shell Proof General comes to the rescue. Simply record your commands in a file with the extension @code{.pgsh}, and load up Proof General. Now use the toolbar to send each line of the file to your tool, and have the output displayed clearly in another window. Much easier and more pleasant for your audience to watch! If you wish, you may adjust the value of @code{proof-prog-name} in @file{pgshell.el} to launch your program rather than the shell interpreter. We welcome feedback and suggestions concerning this subsidiary provision in Proof General. Please recommend it to your colleagues (e.g., the model checking crew). @c ================================================================= @c @c APPENDIX: Obtaining and Installing @c @c @node Obtaining and Installing @appendix Obtaining and Installing Proof General has its own @uref{https://proofgeneral.github.io,home page} hosted at GitHub. Visit this page for the latest news! @menu * Obtaining Proof General:: * Installing Proof General from sources:: * Setting the names of binaries:: * Notes for syssies:: @end menu @node Obtaining Proof General @section Obtaining Proof General You can obtain Proof General from the URL @example @uref{https://github.com/ProofGeneral/PG}. @end example The distribution is available in the master branch of the repository. Tagged versions of the sources may be redistributed by third party packagers in other forms. The sources includes the generic elisp code, and code for Coq, LEGO, Isabelle, and other provers. Also included are installation instructions (reproduced in brief below) and this documentation. @node Installing Proof General from sources @section Installing Proof General from sources Remove old versions of Proof General, then download and install the new release from GitHub: @example $ git clone https://github.com/ProofGeneral/PG ~/.emacs.d/lisp/PG $ cd ~/.emacs.d/lisp/PG $ make @end example Then add the following to your @file{.emacs}: @lisp ;; Open .v files with Proof General's Coq mode (load "~/.emacs.d/lisp/PG/generic/proof-site") @end lisp If Proof General complains about a version mismatch, make sure that the shell's @code{emacs} is indeed your usual Emacs. If not, run the Makefile again with an explicit path to Emacs. On macOS in particular you'll probably need something like @example make clean; make EMACS=/Applications/Emacs.app/Contents/MacOS/Emacs @end example @node Setting the names of binaries @section Setting the names of binaries The @code{load} command you have added will load @file{proof-site} which sets the Emacs load path for Proof General and add auto-loads and modes for the supported assistants. The default names for proof assistant binaries may work on your system. If not, you will need to set the appropriate variables. The easiest way to do this (and most other customization of Proof General) is via the Customize mechanism, see the menu item: @example Proof-General -> Advanced -> Customize -> @var{Name of Assistant} -> Prog Name @end example The Proof-General menu is available from script buffers after Proof General is loaded. To load it manually, type @lisp M-x load-library RET proof RET @end lisp If you do not want to use customize, simply add a line like this: @lisp (setq coq-prog-name "/usr/bin/coqtop -emacs") @end lisp to your @file{.emacs} file. For more advice on how to customize the @code{coq-prog-name} variable, @pxref{Using file variables}, Remark 2. @node Notes for syssies @section Notes for syssies Here are some more notes for installing Proof General in more complex ways. Only attempt things in this section if you really understand what you're doing! @unnumberedsubsec Byte compilation Compilation of the Emacs lisp files improves efficiency but can sometimes cause compatibility problems, especially if you use more than one version of Emacs with the same @code{.elc} files. If you discover problems using the byte-compiled @code{.elc} files which aren't present using the source @code{.el} files, please report them to us. You can compile Proof General by typing @code{make} in the directory where you installed it. It may be necessary to do this if you use a different version of Emacs. @unnumberedsubsec Site-wide installation If you are installing Proof General site-wide, you can put the components in the standard directories of the filesystem if you prefer, providing the variables in @file{proof-site.el} are adjusted accordingly (see @i{Proof General site configuration} in @i{Adapting Proof General} for more details). Make sure that the @file{generic/} and assistant-specific elisp files are kept in subdirectories (@file{coq/}, @file{isa/}, @file{lego/}) of @code{proof-home-directory} so that the autoload directory calculations are correct. To prevent every user needing to edit their own @file{.emacs} files, you can put the @code{load-file} command to load @file{proof-site.el} into @file{site-start.el} or similar. Consult the Emacs documentation for more details if you don't know where to find this file. @unnumberedsubsec Removing support for unwanted provers You cannot run more than one instance of Proof General at a time: so if you're using Coq, visiting an @file{.ML} file will not load Isabelle Proof General, and the buffer remains in fundamental mode. If there are some assistants supported that you never want to use, you can adjust the variable @code{proof-assistants} in @file{proof-site.el} to remove the extra autoloads. This is advisable in case the extensions clash with other Emacs modes, for example @c @code{sml-mode} for @file{.ML} files, or Verilog mode for @file{.v} files clashes with Coq mode. See @i{Proof General site configuration} in @i{Adapting Proof General}, for more details of how to adjust the @code{proof-assistants} setting. Instead of altering @code{proof-assistants}, a simple way to disable support for some prover is to delete the relevant directories from the PG installation. For example, to remove support for Coq, delete the @file{coq} directory in the Proof General home directory. @c Via the Customize mechanism, see the menu: @c @example @c Options -> Customize -> Emacs -> External -> Proof General @c @end example @c or, after loading Proof General, in a proof script buffer @c @example @c Proof-General -> Customize @c @end example @c ================================================================= @c @c APPENDIX: Reporting Bugs @c @c @node Bugs and Enhancements @appendix Bugs and Enhancements For an up-to-date description of bugs and other issues, please consult the bugs file included in the distribution: @uref{http://proofgeneral.inf.ed.ac.uk/releases/ProofGeneral-latest/BUGS,@file{BUGS}}. If you discover a problem which isn't mentioned in @file{BUGS}, please use the search facility on our Trac tracking system at @uref{http://proofgeneral.inf.ed.ac.uk/trac}. If you cannot find the problem mentioned, please add a ticket, giving a careful description of how to repeat your problem, and saying @b{exactly} which versions of all Emacs and theorem prover you are using. @sp 1 If you have some suggested enhancements to request or contribute, please also use the tracking system at @uref{http://proofgeneral.inf.ed.ac.uk/trac} for this. @node References @unnumbered References A short overview of the Proof General system is described in the note: @itemize @bullet @item @b{[Asp00]} David Aspinall. @i{Proof General: A Generic Tool for Proof Development}. Tools and Algorithms for the Construction and Analysis of Systems, Proc TACAS 2000. LNCS 1785. @end itemize Script management as used in Proof General is described in the paper: @itemize @bullet @item @b{[BT98]} Yves Bertot and Laurent Théry. @i{A generic approach to building user interfaces for theorem provers}. Journal of Symbolic Computation, 25(7), pp. 161-194, February 1998. @end itemize Proof General has support for proof by pointing, as described in the document: @itemize @bullet @item @b{[BKS97]} Yves Bertot, Thomas Kleymann-Schreiber and Dilip Sequeira. @i{Implementing Proof by Pointing without a Structure Editor}. LFCS Technical Report ECS-LFCS-97-368. Also published as Rapport de recherche de l'INRIA Sophia Antipolis RR-3286 @end itemize @c @c @c APPENDIX: History @c @c @node History of Proof General @unnumbered History of Proof General @cindex @code{lego-mode} @cindex history It all started some time in 1994. There was no Emacs interface for LEGO. Back then, Emacs militants worked directly with the Emacs shell to interact with the LEGO system. David Aspinall convinced Thomas Kleymann that programming in Emacs Lisp wasn't so difficult after all. In fact, Aspinall had already implemented an Emacs interface for Isabelle with bells and whistles, called @uref{http://homepages.inf.ed.ac.uk/da/Isamode,Isamode}. Soon after, the package @code{lego-mode} was born. Users were able to develop proof scripts in one buffer. Support was provided to automatically send parts of the script to the proof process. The last official version with the name @code{lego-mode} (1.9) was released in May 1995. @cindex proof by pointing @cindex CtCoq @cindex Centaur The interface project really took off the ground in November 1996. Yves Bertot had been working on a sophisticated user interface for the Coq system (CtCoq) based on the generic environment Centaur. He visited the Edinburgh LEGO group for a week to transfer proof-by-pointing technology. Even though proof-by-pointing is an inherently structure-conscious algorithm, within a week, Yves Bertot, Dilip Sequeira and Thomas Kleymann managed to implement a first prototype of proof-by-pointing in the Emacs interface for LEGO [BKS97]. @cindex structure editor @cindex script management Perhaps we could reuse even more of the CtCoq system. It being a structure editor did no longer seem to be such an obstacle. Moreover, to conveniently use proof-by-pointing in actual developments, one would need better support for script management. @cindex generic In 1997, Dilip Sequeira implemented script management in our Emacs interface for LEGO following the recipe in [BT98]. Inspired by the project CROAP, the implementation made some effort to be generic. A working prototype was demonstrated at UITP'97. In October 1997, Healfdene Goguen ported @code{lego-mode} to Coq. Part of the generic code in the @code{lego} package was outsourced (and made more generic) in a new package called @code{proof}. Dilip Sequeira provided some LEGO-specific support for handling multiple files and wrote a few manual pages. The system was reasonably robust and we shipped out the package to friends. In June 1998, David Aspinall reentered the picture by providing an instantiation for Isabelle. Actually, our previous version wasn't quite as generic as we had hoped. Whereas LEGO and Coq are similar systems in many ways, Isabelle was really a different beast. Fierce re-engineering and various usability improvements were provided by Aspinall and Kleymann to make it easier to instantiate to new proof systems. The major technical improvement was a truly generic extension of script management to work across multiple files. It was time to come up with a better name than just @code{proof} mode. David Aspinall suggested @emph{Proof General} and set about reorganizing the file structure to disentangle the Proof General project from LEGO at last. He cooked up some images and bolted on a toolbar, so a naive user can replay proofs without knowing a proof assistant language or even Emacs hot-keys. He also designed some web pages, and wrote most of this manual. Despite views of some detractors, we demonstrated that an interface both friendly and powerful can be built on top of Emacs. Proof General 2.0 was the first official release of the improved program, made in December 1998. Version 2.1 was released in August 1999. It was used at the Types Summer School held in Giens, France in September 1999 (see @uref{http://www-sop.inria.fr/types-project/types-sum-school.html}). About 50 students learning Coq, Isabelle, and LEGO used Proof General for all three systems. This experience provided invaluable feedback and encouragement to make the improvements that went into Proof General 3.0. @menu * Old News for 3.0:: * Old News for 3.1:: * Old News for 3.2:: * Old News for 3.3:: * Old News for 3.4:: * Old News for 3.5:: * Old News for 3.6:: * Old News for 3.7:: @end menu @node Old News for 3.0 @unnumberedsec Old News for 3.0 Proof General 3.0 (released November 1999) has many improvements over 2.x releases. First, there are usability improvements. The toolbar was somewhat impoverished before. It now has twice as many buttons, and includes all of the useful functions used during proof which were previously hidden on the menu, or even only available as key-presses. Key-bindings have been re-organized, users of previous versions may notice. The menu has been redesigned and coordinated with the toolbar, and now gives easy access to more of the features of Proof General. Previously several features were only likely to be discovered by those keen enough to read this manual! Second, there are improvements, extensions, and bug fixes in the generic basis. Proofs which are unfinished and not explicitly closed by a ``save'' type command are supported by the core, if they are allowed by the prover. The design of switching the active scripting buffer has been streamlined. The management of the queue of commands waiting to be sent to the shell has been improved, so there are fewer unnecessary "Proof Process Busy!" messages. The support for scripting with multiple files was improved so that it behaves reliably with Isabelle99; file reading messages can be communicated in both directions now. The proof shell filter has been optimized to give hungry proof assistants a better share of CPU cycles. Proof-by-pointing has been resurrected; even though LEGO's implementation is incomplete, it seems worth maintaining the code in Proof General so that the implementors of other proof assistants are encouraged to provide support. For one example, we can certainly hope for support in Coq, since the CtCoq proof-by-pointing code has been moved into the Coq kernel lately. We need a volunteer from the Coq community to help to do this. An important new feature in Proof General 3.0 is support for @uref{http://x-symbol.sourceforge.net/,X-Symbol}, which means that real logical symbols, Greek letters, etc can be displayed during proof development, instead of their ASCII approximations. This makes Proof General a more serious competitor to native graphical user interfaces. Finally, Proof General has become much easier to adapt to new provers --- it fails gracefully (or not at all!) when particular configuration variables are unset, and provides more default settings which work out-of-the-box. An example configuration for Isabelle is provided, which uses just 25 or so simple settings. This manual has been updated and extended for Proof General 3.0. Amongst other improvements, it has a better description of how to add support for a new prover. See the @code{CHANGES} file in the distribution for more information about the latest improvements in Proof General. Developers should check the @code{ChangeLog} in the developer's release for detailed comments on internal changes. Most of the work for Proof General 3.0 has been done by David Aspinall. Markus Wenzel helped with Isabelle support, and provided invaluable feedback and testing, especially for the improvements to multiple file handling. Pierre Courtieu took responsibility from Patrick Loiseleur for Coq support, although improvements in both Coq and LEGO instances for this release were made by David Aspinall. Markus Wenzel provided support for his Isar language, a new proof language for Isabelle. David von Oheimb helped to develop the generic version of his X-Symbol addition which he originally provided for Isabelle. A new instantiation of Proof General is being worked on for @emph{Plastic}, a proof assistant being developed at the University of Durham. @node Old News for 3.1 @unnumberedsec Old News for 3.1 @cindex news Proof General 3.1 (released March 2000) is a bug-fix improvement over version 3.0. There are some minor cosmetic improvements, but large changes have been held back to ensure stability. This release solves a few minor problems which came to light since the final testing stages for 3.0. It also solves some compatibility problems, so now it works with various versions of Emacs which we hadn't tested with before (non-mule GNU Emacs, certain Japanese Emacs versions). We're also pleased to announce HOL Proof General, a new instance of Proof General for HOL98. This is supplied as a "technology demonstration" for HOL users in the hope that somebody from the HOL community will volunteer to adopt it and become a maintainer and developer. (Otherwise, work on HOL Proof General will not continue). Apart from that there are a few other small improvements. Check the CHANGES file in the distribution for full details. The HOL98 support and much of the work on Proof General 3.1 was undertaken by David Aspinall while he was visiting ETL, Osaka, Japan, supported by the British Council and ETL. @node Old News for 3.2 @unnumberedsec Old News for 3.2 @cindex news Proof General 3.2 introduced several new features and some bug fixes. One noticeable new feature is the addition of a prover-specific menu for each of the supported provers. This menu has a ``favourites'' feature that you can use to easily define new functions. Please contribute other useful functions (or suggestions) for things you would like to appear on these menus. Because of the new menus and to make room for more commands, we have made a new key map for prover specific functions. These now all begin with @kbd{C-c C-a}. This has changed a few key bindings slightly. Another new feature is the addition of prover-specific completion tables, to encourage the use of Emacs's completion facility, using @kbd{C-RET}. @xref{Support for completion}, for full details. A less obvious new feature is support for turning the proof assistant output on and off internally, to improve efficiency when processing large scripts. This means that more of your CPU cycles can be spent on proving theorems. Adapting for new proof assistants continues to be made more flexible, and easier in several places. This has been motivated by adding experimental support for some new systems. One new system which had good support added in a very short space of time is @b{PhoX} (see @uref{http://www.lama.univ-savoie.fr/~RAFFALLI/af2.html, the PhoX home page} for more information). PhoX joins the rank of officially supported Proof General instances, thanks to its developer Christophe Raffalli. Breaking the manual into two pieces was overdue: now all details on adapting Proof General, and notes on its internals, are in the @i{Adapting Proof General} manual. You should find a copy of that second manual close to wherever you found this one; consult the Proof General home page if in doubt. The internal code of Proof General has been significantly overhauled for this version, which should make it more robust and readable. The generic code has an improved file structure, and there is support for automatic generation of autoload functions. There is also a new mechanism for defining prover-specific customization and instantiation settings which fits better with the customize library. These settings are named in the form @code{@i{PA}-setting-name} in the documentation; you replace @i{PA} by the symbol for the proof assistant you are interested in. @xref{Customizing Proof General}, for details. Finally, important bug fixes include the robustification against @code{write-file} (@kbd{C-x C-w}), @code{revert-buffer}, and friends. These are rather devious functions to use during script management, but Proof General now tries to do the right thing if you're deviant enough to try them out! Work on this release was undertaken by David Aspinall between May-September 2000, and includes contributions from Markus Wenzel, Pierre Courtieu, and Christophe Raffalli. Markus added some Isar documentation to this manual. @node Old News for 3.3 @unnumberedsec Old News for 3.3 Proof General 3.3 includes a few feature additions, but mainly the focus has been on compatibility improvements for new versions of provers (in particular, Coq 7), and new versions of emacs (in particular, XEmacs 21.4). One new feature is control over visibility of completed proofs, @xref{Visibility of completed proofs}. Another new feature is the tracking of theorem dependencies inside Isabelle. A context-sensitive menu (right-button on proof scripts) provides facility for browsing the ancestors and child theorems of a theorem, and highlighting them. The idea of this feature is that it can help you untangle and rearrange big proof scripts, by seeing which parts are interdependent. The implementation is provisional and not documented yet in the body of this manual. It only works for the "classic" version of Isabelle99-2. @node Old News for 3.4 @unnumberedsec Old News for 3.4 Proof General 3.4 adds improvements and also compatibility fixes for new versions of Emacs, in particular, for GNU Emacs 21, which adds the remaining pretty features that have only been available to XEmacs users until now (the toolbar and X-Symbol support). One major improvement has been to provide better support for synchronization with Coq proof scripts; now Coq Proof General should be able to retract and replay most Coq proof scripts reliably. Credit is due to Pierre Courtieu, who also updated the documentation in this manual. As of version 3.4, Proof General is distributed under the GNU General Public License (GPL). Compared with the previous more restrictive license, this means the program can now be redistributed by third parties, and used in any context without applying for a special license. Despite these legal changes, we would still appreciate if you send us back any useful improvements you make to Proof General, and register your use of Proof General on the web site. @node Old News for 3.5 @unnumberedsec Old News for 3.5 @node Old News for 3.6 @unnumberedsec Old News for 3.6 There was no 3.6 release of Proof General. @node Old News for 3.7 @unnumberedsec Old News for 3.7 Proof General version 3.7.1 is an updated and enhanced version of Proof General 3.7. See @file{CHANGES} for more details. Proof General version 3.7 collects together a cummulative set of improvements to Proof General 3.5. There are compatibility fixes for newer Emacs versions, and particularly for GNU Emacs: credit is due to Stefan Monnier for an intense period of debugging and patching. The options menu has been simplified and extended, and the display management is improved and repaired for Emacs API changes. There are some other usability improvements, some after feedback from use at TYPES Summer Schools. Many new features have been added to enhance Coq mode (thanks to Pierre Courtieu) and several improvements made for Isabelle (thanks to Makarius Wenzel, Stefan Berghofer and Tjark Weber). Support has been added for the useful Emacs packages Speedbar @c @uref{http://cedet.sourceforge.net/speedbar.shtml,Speedbar} and Index Menu, both usually distributed with Emacs. A compatible version of the Emacs package Math-Menu (for Unicode symbols) is bundled with Proof General. An experimental Unicode Tokens package has been added which will replace X-Symbol. See the @file{CHANGES} file in the distribution for more complete details of changes since version 3.5, and the appendix @ref{History of Proof General} for old news. @node Function Index @unnumbered Function and Command Index @printindex fn @node Variable Index @unnumbered Variable and User Option Index @printindex vr @node Keystroke Index @unnumbered Keystroke Index @printindex ky @node Concept Index @unnumbered Concept Index @printindex cp @page @contents @bye