CoLoSS: The Coalgebraic Logic Satisfiability Solver (System Description)

Georgel Calin, Rob Myers, Dirk Pattinson, Lutz Schröder

In: Carlos Areces , Stephane Demri (Hrsg.). Methods for Modalities (M4M-5). Methods for Modalities (M4M-5) November 29-30 Cachan France Seiten 41-54 Electronic Notes in Theoretical Computer Science (ENTCS) 231 Elsevier Science; 3/2009.


ColoSS, the Coalgebraic Logic Satisfiability Solver, decides satisfiability of modal formulas in a generic and compositional way. It implements a uniform polynomial space algorithm to decide satisfiability for modal logics that are amenable to coalgebraic semantics. This includes e.g. the logics K, KD, Pauly's coalition logic, graded modal logic, and probabilistic modal logic. Logics are easily integrated into CoLoSS by providing a complete axiomatisation of their coalgebraic semantics in a specific format. Moreover, CoLoSS is compositional: it synthesises decision procedures for modular combinations of logics that include the fusion of two modal logics as a special case. One thus automatically obtains reasoning support e.g. for logics interpreted over probabilistic automata that combine non-determinism and probabilities in different ways.

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Deutsches Forschungszentrum für Künstliche Intelligenz
German Research Center for Artificial Intelligence