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Global caching, inverse roles and fixpoint logics

Date

2009

Authors

Gore, Rajeev

Journal Title

Journal ISSN

Volume Title

Publisher

CEUR-WS.ORG

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.

Description

Keywords

Keywords: Decision procedure; Fixpoints; Global state; On the flies; Optimality; Algorithms; Formal languages; Formal logic; Optimization; Data description

Citation

Source

Proceedings of the 22nd International workshop on Description logics (DL 2009)

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2037-12-31
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The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.


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