A Multi-Core Solver for Parity Games


Michael Weber ,
Jaco van de Pol,
University of Twente

Title A Multi-Core Solver for Parity Games
When 09.07.2008
Where Lecture Room Informatik 7
Abstract We describe a parallel algorithm for solving parity games, with

applications in, e.g., modal mu-calculus model checking with arbitrary alternations, and (branching) bisimulation checking. The algorithm is based on Jurdzinski’s Small Progress Measures. Actually, this is a class of algorithms, depending on a selection heuristics. Our algorithm operates lock-free, and mostly wait-free (except for infrequent termination detection), and thus allows maximum parallelism. Additionally, we conserve memory by avoiding storage of predecessor edges for the parity graph through strictly forward-looking heuristics. We evaluate our multi-core implementation’s behaviour on parity games obtained from mu-calculus model checking problems for a set of communication protocols, randomly generated problem instances, and parametric problem instances from the literature.

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