Article View: sci.logic
Article #516Re: Programs for simple logic proofs: where are they?
From: Ian Green
Date: Tue, 17 Nov 1992 11:48
Date: Tue, 17 Nov 1992 11:48
60 lines
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3478 bytes
If you're looking for an interactive system, you might try FOL or
its derivative, GETFOL. Contact Fausto Giunchiglia, at fausto@irst.it or
fausto@dist.unige.it for more info. Weyhrauch80 describes FOL.
-ian
@article(Weyhrauch80,
Author = {Weyhrauch, Richard W.},
Title = {Prolegomena to a Theory of Mechanized Formal Reasoning},
Year = {1980},
Journal = AI,
Volume = {13},
Pages = {133--170})
thread:
On 16 Nov 92 23:07:04 GMT, plummer@cs.swarthmore.edu (David Barker-Plummer) said:
> In article <1992Nov16.183210.9769@beaver.cs.washington.edu> jon@cs.washington.edu (Jon Jacky) writes:
>JJ> In article <4804@equinox.unr.edu> mjb@dws020.unr.edu (Mike Brown) writes:
>>I am looking for programs that will do proofs like:
>> Prove: Q \
>> 1 P then Q Premis > The problem
>> 2 P Premis /
>> 3 Q 1, 2, Modus Ponens > The program's proof
>>
>>(The proofs do get more involved)
>>
>>Is there a program out there that will do these proofs?
>JJ> I saw two responses to this post, recommending Otter and HOL. I think they
>JJ> made it clear that they were probably not what Mike Brown was looking for.
>JJ> The Otter and HOL versions of this very simple proof don't look a whole lot
>JJ> like Mike's very clear presentation. I've read the book about Otter and
>JJ> learned/used a little of HOL; they are both powerful research systems, with
>JJ> all that entails.
>JJ> I think what the original post was asking for was a simple natural
>JJ> deduction prover for propositional logic, where the problem
>JJ> statements and proofs look much as they do in a logic textbook.
>JJ> Do such things exist? The nearest thing I have read about is
>JJ> "Muffin: A Proof Assistant", a chapter by Richard C. Moore in
>JJ> Jones and Shaw, CASE STUDIES IN SYSTEMATIC SOFTWARE DEVELOPMENT,
>JJ> Prentice Hall International, 1990. I recall the chapter saying
>JJ> something about Muffin being made available. I wonder if anyone
>JJ> is using it.
> Andrews' system, ack I can't remember its name right now, allws you to
> construct proofs in exactly the standard natural deduction
> presentation of the original poster's example. Contact Peter Andrews
> at CMU. Of course, the underlying logic of this prover is typed
> higher order logic, and is significantly more powerful (and hence
> harder to understand) than the simple example would suggest.
> Another system that comes to mind is MacLogic developed by Roy Dychoff
> at St. Andrews University (rd@cs.st-and.ac.uk). I am not sure of the
> availability, but this is the sort of system I would choose for
> teaching natural deduction to neophytes.
> -- Dave
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Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!magnus.acs.ohio-state.edu!usenet.ins.cwru.edu!agate!doc.ic.ac.uk!uknet!edcastle!aisb!aisb!img From: img@aisb.ed.ac.uk (Ian Green) Newsgroups: sci.logic Subject: Re: Programs for simple logic proofs: where are they? Message-ID: <IMG.92Nov17114848@hope.aisb.ed.ac.uk> Date: 17 Nov 92 11:48:48 GMT References: <4804@equinox.unr.edu> <1992Nov16.183210.9769@beaver.cs.washington.edu> <PLUMMER.92Nov16180704@nutmeg.cs.swarthmore.edu> Sender: news@aisb.ed.ac.uk (Network News Administrator) Organization: Department of Artificial Intelligence, University of Edinburgh Lines: 60 In-Reply-To: plummer@cs.swarthmore.edu's message of 16 Nov 92 23:07:04 GMT