From bah.demba at ju.edu.sa  Mon Feb  6 09:26:28 2017
From: bah.demba at ju.edu.sa (=?UTF-8?B?2YXZiNiz2Ykg2K/Zhdio2Kc=?=)
Date: Mon, 6 Feb 2017 12:26:28 +0300
Subject: [metis-users] theorem prover
Message-ID: <CAJqD3N3FgHh_AFHkjkYWBDOvHE718oTzVFf3HyxWoLJN4eKRuQ@mail.gmail.com>

Dear,
I would like a theorem prover where I can add new tactics for proving
properties of equational programs. I don't know if I can do it with metis,
and if metis supports second order substitutions,
many thanks,
-- 
Moussa Demba

-- 
 

*???? ????? ?????????*

?? ????????? ??????? ?? ??? ?????? ?????????? ??? ????? ????? ?? ??????? 
???? ??????? ???? ?? ???????? ? ?? ????? ??? ??????? ???? ?? ???? ????? 
????? ???? ??? ?? ??? ??? ??????? ??? ??????? ??? ?????? ??????????. ?????? 
??? ?? ??? ??? ???????? ??????? ??? ?????? ??????????? ???????? ?????? 
?????? ????? ???? ?????? ???? ??????? ?????? ??????????. ???? ????? ????? 
??? ?? ????? ?? ????? ?? ????? ?? ????? ????????? ??? ??? ?????? 
??????????. ?? ????? ????? ????? ?? ??????? ??????? ?? ?? ????? ????? ?? ?? 
????? ?? ????? ???? ?????? ??? ?????? ?????????? .
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://www.gilith.com/metis/mailing-list/attachments/20170206/9a226366/attachment.html>

From joe at leslie-hurd.com  Tue Feb  7 18:02:12 2017
From: joe at leslie-hurd.com (Joe Leslie-Hurd)
Date: Tue, 7 Feb 2017 10:02:12 -0800
Subject: [metis-users] theorem prover
In-Reply-To: <CAJqD3N3FgHh_AFHkjkYWBDOvHE718oTzVFf3HyxWoLJN4eKRuQ@mail.gmail.com>
References: <CAJqD3N3FgHh_AFHkjkYWBDOvHE718oTzVFf3HyxWoLJN4eKRuQ@mail.gmail.com>
Message-ID: <CACQy07mrL1S2cMq3DjKPZGzrbPeNorc+k1y3Z5_-BrbVuMcA8w@mail.gmail.com>

Hi Moussa,

Metis is an automatic theorem prover that takes as input some axioms
and a conjecture in first order logic, and tries to prove the
conjecture from the axioms. It uses a fixed strategy, and it's not
easy to extend it with new proof tactics.*

For your application I would recommend looking at one of the HOL
family of theorem provers, such as HOL Light:
https://github.com/jrh13/hol-light

Good luck with your project,

Joe

[*] However, it's not impossible, as the MetiTarski project shows:
https://www.cl.cam.ac.uk/~lp15/papers/Arith/

2017-02-06 1:26 GMT-08:00 ???? ???? <bah.demba at ju.edu.sa>:
> Dear,
> I would like a theorem prover where I can add new tactics for proving
> properties of equational programs. I don't know if I can do it with metis,
> and if metis supports second order substitutions,
> many thanks,
> --
> Moussa Demba
>
>
>
> ???? ????? ?????????
>
> ?? ????????? ??????? ?? ??? ?????? ?????????? ??? ????? ????? ?? ???????
> ???? ??????? ???? ?? ???????? ? ?? ????? ??? ??????? ???? ?? ???? ?????
> ????? ???? ??? ?? ??? ??? ??????? ??? ??????? ??? ?????? ??????????. ??????
> ??? ?? ??? ??? ???????? ??????? ??? ?????? ??????????? ???????? ??????
> ?????? ????? ???? ?????? ???? ??????? ?????? ??????????. ???? ????? ?????
> ??? ?? ????? ?? ????? ?? ????? ?? ????? ????????? ??? ??? ?????? ??????????.
> ?? ????? ????? ????? ?? ??????? ??????? ?? ?? ????? ????? ?? ?? ????? ??
> ????? ???? ?????? ??? ?????? ?????????? .
>
>
> _______________________________________________
> metis-users mailing list
> metis-users at gilith.com
> http://www.gilith.com/mailman/listinfo/metis-users
>