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EXPTIME tableaux for ALC using sound global caching

Gore, Rajeev; Nguyen, Linh Anh

Description

We show that global caching can be used with propagation of both satisfiability and unsatisfiability in a sound manner to give an EXPTIME algorithm for checking satisfiability w.r.t. a TBox in the basic description logic ALC. Our algorithm is based on a simple traditional tableau calculus which builds an and-or graph where no two nodes of the graph contain the same formula set. When a duplicate node is about to be created, we use the pre-existing node as a proxy, even if the proxy is from a...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Conference paper
URI: http://hdl.handle.net/1885/52074
Source: 2007 International Workshop on Description Logics Proceedings

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