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An intuitionistic first-order theorem prover -- JProver.
Usage:
Require JProver.
Jp [num].
Whem [num] is provided, proof is done automatically with
the multiplicity limit [num], otherwise no limit is forced
and JProver may not terminate.
Example:
Require JProver.
Coq < Goal (P:Prop) P->P.
1 subgoal
============================
(P:Prop)P->P
Unnamed_thm < Jp 1.
Proof is built.
Subtree proved!
-----------------------------------------
Description:
JProver is a theorem prover for first-order intuitionistic logic.
It is originally implemented by Stephan Schmitt and then integrated into
MetaPRL by Aleksey Nogin (see jall.ml). After this, Huang extracted the
necessary ML-codes from MetaPRL and then integrated it into Coq.
The MetaPRL URL is http://metaprl.org/. For more information on
integrating JProver into interactive proof assistants, please refer to
"Stephan Schmitt, Lori Lorigo, Christoph Kreitz, and Aleksey Nogin,
Jprover: Integrating connection-based theorem proving into interactive
proof assistants. In International Joint Conference on Automated
Reasoning, volume 2083 of Lecture Notes in Artificial Intelligence,
pages 421-426. Springer-Verlag, 2001" -
http://www.cs.cornell.edu/nogin/papers/jprover.html
Structure of this directory:
This directory contains
README ------ this file
jall.ml ------ the main module of JProver
jtunify.ml ------ string unification procedures for jall.ml
jlogic.ml ------ interface module of jall.ml
jterm.ml
opname.ml ------ implement the infrastructure for jall.ml
jprover.ml4 ------ the interface of jall.ml to Coq
JProver.v ------ declaration for Coq
Makefile ------ the makefile
go ------ batch file to load JProver to Coq dynamically
Comments:
1. The original <jall.ml> is located in meta-prl/refiner/reflib of the
MetaPRL directory. Some parts of this file are modified by Huang.
2. <jtunify.ml> is also located in meta-prl/refiner/reflib with no modification.
3. <jlogic.ml> is modified from meta-prl/refiner/reflib/jlogic_sig.mlz.
4. <jterm.ml> and <opname.ml> are modified from the standard term module
of MetaPRL in meta-prl/refiner/term_std.
5. The Jp tactic currently cannot prove formula such as
((x:nat) (P x)) -> (EX y:nat| (P y)), which requires extra constants
in the domain when the left-All rule is applied.
by Huang Guan-Shieng (Guan-Shieng.Huang@lri.fr), March 2002.
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