Automated theorem provers for multiple-valued logics with satisfiability modulo theory solvers

作者：Ansotegui Carlos; Bofill Miguel; Manya Felip^*; Villaret Mateu

来源：Fuzzy Sets and Systems, 2016, 292: 32-48.

DOI：10.1016/j.fss.2015.04.011

• Multiple-valued logics
• Automated theorem provers
• SMT
• Benchmarks

There is a relatively large number of papers dealing with complexity and proof theory issues of multiple-valued logics. Nevertheless, little attention has been paid so far to the development of efficient and robust solvers for such logics. In this paper we investigate how the technology of Satisfiability Modulo Theories (SMT) can be effectively used to build efficient automated theorem provers for relevant finitely-valued and infinitely-valued logics, taking the logics of Lukasiewicz, Godel and Product as case studies. Besides, we report on an experimental investigation that evaluates the performance of SMT technology when solving multiple-valued logic problems, and compares the finitely-valued solvers for Lukasiewicz and Godel logics with their infinitely-valued solvers from a computational point of view. We also compare the performance of SMT technology and MIP technology when testing the satisfiability on a genuine family of multiple-valued clausal forms.

• 出版日期2016-6-1