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Journal of Automated Reasoning

, Volume 55, Issue 3, pp 285–294 | Cite as

Automating Boolean Set Operations in Mizar Proof Checking with the Aid of an External SAT Solver

  • Adam Naumowicz
Open Access
Article

Abstract

In this paper we present the results of an experiment with employing an external SAT solver to strengthen the notion of obviousness of the Mizar proof checker. The presented extension of the Mizar system is based on a version of MiniSAT, called Logic2CNF. The SAT-enhanced Mizar checker is programmed to automatically spawn a new Logic2CNF process whenever it needs to justify any goal that can be solved by reducing it into a corresponding propositional satisfiability problem (equalities based on Boolean operations or set inclusion). The external tool is interfaced within the implementation of Mizar’s requirements directives.

Keywords

Mizar SAT solvers Proof assistants Boolean operations 

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Copyright information

© The Author(s) 2015

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Institute of InformaticsUniversity of BialystokBialystokPoland

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