Investigating two approaches for satisfying modal logic problems, highlighting superior performance with KSP.
We investigate two approaches for extending CEGAR-tableaux with SAT-shortcuts using a previously known approach called RECAR but also a totally new approach using the modal resolution theorem prover K S P as an oracle.Our experiments using our C++ implementation CEGARBox++ of CEGAR-tableaux show that: (1) CEGARBox++ with RECAR SAT-shortcuts is not competitive (2) CEGARBox++ using K S P to provide SAT-shortcuts is superior to both CEGARBox++ and K S P, particularly on large satisfiable problems.As far as we know, this is the first effective integration of SAT, tableaux and resolution methods for modal satisfiability which performs better than its parts.
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Goré et al. (2026) studied this question.
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