A tableau calculus with automaton-labelled formulae for regular grammar logics

Rajeev Goré*, Linh Anh Nguyen

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    20 Citations (Scopus)

    Abstract

    We present a sound and complete tableau calculus for the class of regular grammar logics. Our tableau rules use a special feature called automaton-labelled formulae, which are similar to formulae of automaton propositional dynamic logic. Our calculus is cut-free and has the analytic superformula property so it gives a decision procedure. We show that the known EXPTIME upper bound for regular grammar logics can be obtained using our tableau calculus. We also give an effective Craig interpolation lemma for regular grammar logics using our calculus.

    Original languageEnglish
    Title of host publicationAutomated Reasoning with Analytic Tableaux and Related Methods - 14th International Conference, TABLEAUX 2005, Proceedings
    PublisherSpringer Verlag
    Pages138-152
    Number of pages15
    ISBN (Print)3540289313, 9783540289319
    DOIs
    Publication statusPublished - 2005
    Event14th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2005 - Koblenz, Germany
    Duration: 14 Sept 200517 Sept 2005

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume3702 LNAI
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference14th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2005
    Country/TerritoryGermany
    CityKoblenz
    Period14/09/0517/09/05

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