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Date: Fri, 10 Apr 92 17:26:17 CDT
From: Matt Kaufmann <kaufmann@com.cli>
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To: info-hol@edu.uidaho.cs.ted, nqthm-users@com.cli
Cc: archer@edu.ucdavis.cs, gfink@edu.ucdavis.cs, kaufmann@com.cli
Subject: connecting HOL with the Boyer-Moore Theorem Prover

Is there much serious interest out there in connecting the Boyer-Moore
Theorem Prover with HOL?  What I have in mind (and what I believe is
similar to what Myla Archer and some others at UC Davis have been
looking into) is some kind of connection that allows you to ship off
certain HOL goals to the Boyer-Moore Theorem Prover, which is a
``first-order'' prover that has induction and natural number linear
arithmetic.  (An extension has some weak support for first-order
quantification and an interactive goal-directed assistant much like
HOL's.)  Without saying more right now (such as who might get involved
in the implementation, just how the mechanism might work, or how to
address soundness), I'd like to pose the following request/challenge:

   Provide explicit examples of HOL theorems (possibly in the context
   of a theory) for which the Boyer-Moore theorem prover might provide
   useful assistance.

I'd be very interested in seeing such examples.  You could send them
by email to me, Matt Kaufmann, at kaufmann@cli.com .  Thanks.
