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A General Tableau Method for Propositional Interval Temporal Logics

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Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2796))

Abstract

Logics for time intervals provide a natural framework for representing and reasoning about timing properties in various areas of computer science. However, while various tableau methods have been developed for linear and branching time point-based temporal logics, not much work has been done on tableau methods for interval-based temporal logics. In this paper, we introduce a new, very expressive propositional interval temporal logic, called (Non-Strict) Branching CDT (BCDT + ) which extends most of the propositional interval temporal logics proposed in the literature. Then, we provide BCDT +  with a generic tableau method which combines features of explicit tableau methods for modal logics with constraint label management and the classical tableau method for first-order logic, and we prove its soundness and completeness.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Rand Afrikaans University, South Africa

    Valentin Goranko

  2. Dipartimento di Matematica e Informatica, University of Udine, Italy

    Angelo Montanari & Guido Sciavicco

Authors
  1. Valentin Goranko
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  2. Angelo Montanari
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  3. Guido Sciavicco
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica e Automazione, Università di Roma Tre, via Vasca Navale 79, 00146, Roma, Italia

    Marta Cialdea Mayer

  2. Dipartimento di Informatica e Sistemistica (DIS), Sapienza, University of Rome “Sapienza”, via Ariosto 25, 00185, Roma

    Fiora Pirri

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Goranko, V., Montanari, A., Sciavicco, G. (2003). A General Tableau Method for Propositional Interval Temporal Logics. In: Cialdea Mayer, M., Pirri, F. (eds) Automated Reasoning with Analytic Tableaux and Related Methods . TABLEAUX 2003. Lecture Notes in Computer Science(), vol 2796. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45206-5_10

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  • DOI: https://doi.org/10.1007/978-3-540-45206-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40787-4

  • Online ISBN: 978-3-540-45206-5

  • eBook Packages: Springer Book Archive

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