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An Optimal On-the-fly Tableau-based Decision Procedure for PDL satisfiability

Gore, Rajeev; Widmann, Florian


We give an optimal (exptime), sound and complete tableau-based algorithm for deciding satisfiability for propositional dynamic logic. Our main contribution is a sound method to track unfulfilled eventualities "on the fly" which allows us to detect "bad loops" sooner rather than in multiple subsequent passes. We achieve this by propagating and updating the "status" of nodes throughout the underlying graph as soon as is possible. We give sufficient details to enable an easy implementation by...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Conference paper
Source: Proceedings of the 22nd International Conference on Automated Deduction
DOI: 10.1007/978-3-642-02959-2_32


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