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Dual Tableau-Based Decision Procedures for Fragments of the Logic of Binary Relations

  • Domenico Cantone
  • Marianna Nicolosi-Asmundo
Chapter
Part of the Outstanding Contributions to Logic book series (OCTR, volume 17)

Abstract

In this paper, written to honor the career of Ewa Orłowska, we survey the main results on dual tableau-based decision procedures for fragments of the logic of binary relations. Specifically, we shall review relational fragments representing well known classes of first-order logic, of modal and multi-modal logics, and of description logics. We shall also examine a relational fragment admitting the use of a simple form of entailment within dual tableau decision procedures.

Keywords

Logic of binary relations Non-classical logics Dual tableau systems Decision procedures Relational composition operation Relational entailment 

Notes

Acknowledgements

The authors would like to thank the anonymous reviewers for their very helpful comments. This work was supported by the Polish National Science Centre research project DEC-2011/02/A/HS1/00395.

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Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of CataniaCataniaItaly

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