SAT-Based Decision Procedures for Classical Modal Logics

  • Authors:
  • Enrico Giunchiglia;Armando Tacchella;Fausto Giunchiglia

  • Affiliations:
  • DIST, V.le Causa 13, 16145 Genova, Italy;DIST, V.le Causa 13, 16145 Genova, Italy;DISA, Università di Trento, IRST, 38050 Povo, Trento, Italy

  • Venue:
  • Journal of Automated Reasoning
  • Year:
  • 2002

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Abstract

We present a set of SAT-based decision procedures for various classical modal logics. By SAT based, we mean built on top of a SAT solver. We show how the SAT-based approach allows for a modular implementation for these logics. For some of the logics we deal with, we are not aware of any other implementation. For the others, we define a testing methodology that generalizes the 3CNFiK methodology by Giunchiglia and Sebastiani. The experimental evaluation shows that our decision procedures perform better than or as well as other state-of-the-art decision procedures.