Generic Model Checking for Modal Fixpoint Logics in COOL-MC

Daniel Hausmann, Merlin Humml, Simon Prucker, Lutz Schröder, Aaron Strahlberger

Abstract: We report on COOL-MC, a model checking tool for fixpoint logics that is parametric in the branching type of models (non-deterministic, game-based, probabilistic etc.) and in the next-step modalities used in formulae. The tool implements generic model checking algorithms developed in coalgebraic logic that are easily adapted to concrete instance logics. Apart from the standard modal \(\mu \)-calculus, COOL-MC currently supports alternating-time, graded, probabilistic and monotone variants of the \(\mu \)-calculus, but is also effortlessly extensible with new instance logics. The model checking process is realized by polynomial reductions to parity game solving, or, alternatively, by a local model checking algorithm that directly computes the extensions of formulae in a lazy fashion, thereby potentially avoiding the construction of the full parity game. We evaluate COOL-MC on informative benchmark sets.

External IDs:dblp:conf/vmcai/HausmannHPSS24