Milawa is a "self-verifying" theorem prover for an ACL2-like logic.

We begin with a simple proof checker,
call it *A*, which is short enough to verify by the "social process" of
mathematics.

We then develop a series of increasingly powerful proof checkers, call them
*B*, *C*, *D*, and so on. We show that each of these is
*sound*: they accept only the same formulas as *A*. We use
*A* to verify *B*, and *B* to verify *C*, and so
on. Then, since we trust *A*, and *A* says *B* is sound,
we can trust *B*, and so on for *C*, *D*, and the rest.

Our final proof checker is really a theorem prover; it can carry out a
goal-directed proof search using assumptions, calculation, rewrite rules, and
so on. We use this theorem prover to discover the proofs of soundness for
*B*, *C*, and so on, and to emit these proofs in a format that
*A* can check. Hence, "self verifying."

Milawa is distributed as part
of the ACL2 Books
(under `projects/milawa`).

For documentation on how to compile Milawa, bootstrap its proofs, and check the resulting proofs, see Projects/Milawa in the ACL2 Books User Manual.

*A self-verifying theorem prover*

Ph.D. thesis, University of Texas at Austin

December 2009.

PDF paper, 2 MB

*A self-verifying theorem prover*

Ph.D. defense

September 18, 2009

PDF slides; 352 KB

*The Milawa rewriter*

and an ACL2 proof of its soundness

Not published

October 5, 2007.

PDF paper, 202 KB*A trustworthy, extensible theorem prover*

Ph.D. dissertation proposal

October 22, 2007

Screen version (PDF, 305 KB)

Print version (PDF, 305 KB)

(Also a technical report: The University of Texas at Austin, Department of Computer Sciences, Report #TR-08-14, March 2008. [link])

*The Milawa rewriter*

and an ACL2 proof of its soundness

PDF slides; 580 KB

November 16, 2007 (ACL2 '07)*A trustworthy, extensible theorem prover*

Ph.D. dissertation proposal

PDF slides; 961 KB

AVI movie with commentary; 16 MB, 19 minutes

October 24, 2007*Tactics and tracing*

PDF slides; 550 KB

ACL2 seminar, March 28, 2007*Adding a computation rule*

PDF slides; 387 KB

Also available as a WMV movie; 88 MB, 67 mins

ACL2 seminar, August 2, 2006*Designing a trustworthy, extensible theorem prover*

PDF poster; 350 KB

Gradfest, March 2006*Milawa: an extensible proof checker*

PDF slides; 760 KB

ACL2 seminar, November 16, 2005

Contact: jared.c.davis@gmail.com

This material is based upon work supported by the National Science Foundation under Grant No 0429591. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

This material is based upon work supported by the Defense Advanced Research Projects Agency (DARPA) under Contract NBCH30390004.