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We give the first cut-free ExpTime (optimal) tableau decision procedure forthe logic CPDLreg, which extends Converse-PDL with regular inclusion axiomscharacterized by finite automata. The logic CPDLreg is the combination ofConverse-PDL and regular grammar logic with converse. Our tableau decisionprocedure uses global state caching and has been designed to increaseefficiency and allow various optimization techniques, including on-the-flypropagation of local and global (in)consistency.

A Cut-Free ExpTime Tableau Decision Procedure for the Logic Extending Converse-PDL with Regular Inclusion Axioms