Global caching, inverse roles and fixpoint logics

Rajeev Goré*

*Corresponding author for this work

    Research output: Contribution to journalConference articlepeer-review

    Abstract

    I will begin by explaining an optimal tableau-based algorithm for checking ALC-satisfiability which uses "global caching" and which appears to work well in practice. The algorithm settles a conjecture that "global caching can lead to optimality". I will then explain how "global caching" can be extended to "global state caching" for inverse roles, thereby extending the result to ALCI-satisfiability, and converse roles in general. Finally, I will explain how "global caching" can be used to give optimal "on the fly" tableau decision procedures for some fix- point logics. Finally, some open questions. The talk is intended to be expository so it will be at a fairly high level.

    Original languageEnglish
    JournalCEUR Workshop Proceedings
    Volume477
    Publication statusPublished - 2009
    Event22nd International Workshop on Description Logics, DL 2009 - Oxford, United Kingdom
    Duration: 27 Jul 200930 Jul 2009

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