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(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(*i $Id$ i*)
(*i*)
open Util
open Names
open Term
open Sign
open Evd
open Pattern
open Proof_trees
(*i*)
(*s Given a term with second-order variables in it,
represented by Meta's, and possibly applied using SoApp
terms, this function will perform second-order, binding-preserving,
matching, in the case where the pattern is a pattern in the sense
of Dale Miller.
ALGORITHM:
Given a pattern, we decompose it, flattening casts and apply's,
recursing on all operators, and pushing the name of the binder each
time we descend a binder.
When we reach a first-order variable, we ask that the corresponding
term's free-rels all be higher than the depth of the current stack.
When we reach a second-order application, we ask that the
intersection of the free-rels of the term and the current stack be
contained in the arguments of the application *)
val is_imp_term : constr -> bool
(*s I implemented the following functions which test whether a term [t]
is an inductive but non-recursive type, a general conjuction, a
general disjunction, or a type with no constructors.
They are more general than matching with [or_term], [and_term], etc,
since they do not depend on the name of the type. Hence, they
also work on ad-hoc disjunctions introduced by the user.
(Eduardo, 6/8/97). *)
type 'a matching_function = constr -> 'a option
type testing_function = constr -> bool
val match_with_non_recursive_type : (constr * constr list) matching_function
val is_non_recursive_type : testing_function
val match_with_disjunction : (constr * constr list) matching_function
val is_disjunction : testing_function
val match_with_conjunction : (constr * constr list) matching_function
val is_conjunction : testing_function
val match_with_empty_type : constr matching_function
val is_empty_type : testing_function
val match_with_unit_type : constr matching_function
(* type with only one constructor and no arguments *)
val is_unit_type : testing_function
val match_with_equation : (constr * constr list) matching_function
val is_equation : testing_function
val match_with_nottype : (constr * constr) matching_function
val is_nottype : testing_function
|
