Contribution: JProver
A theorem prover for first-order intuitionistic logic
Authors
- Huang Guan-Shieng
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. After this, Huang Guan-Shieng extracted the necessary ML-codes from MetaPRL and then adapted it to Coq.
Keywords
decision procedures, first order logic, intuitionistic logic, theorem proving, proof search
README
An intuitionistic first-order theorem prover -- JProver.
Usage:
Require Import 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 Import JProver.
Coq < Goal forall P:Prop, P->P.
1 subgoal
============================
forall 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.ml ------ the interface of jall.ml to Coq
JProver.v ------ declaration for Coq
Makefile ------ the makefile
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 formulas such as
(forall x:nat, P x) -> (exists 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.