Formal Verification of Molecular Computational Models in ACL2: A Case Study

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Abstract

Theorem proving is a classical AI problem with a broad range of applications. Since its complexity is exponential in the size of the problem, many methods to parallelize the process has been proposed. One of these approaches is based on the massive parallelism of molecular reactions. ACL2 is an automated theorem prover especially adequate for algorithm verification. In this paper we present an ACL2 formalization of a molecular computational model: Adleman’s restricted model. As an application of this model, an implementation of Lipton’s experiment solving SAT is described. We use ACL2 to make a formal proof of the completeness and soundness properties of this implementation.

This work has been supported by project TIC2000-1368-C03-02 (Ministry of Science and Technology, Spain), cofinanced by FEDER funds.