A Multi-Core Solver for Parity Games

@article{Pol2008AMS,
  title={A Multi-Core Solver for Parity Games},
  author={Jaco van de Pol and Michael Weber},
  journal={Electron. Notes Theor. Comput. Sci.},
  year={2008},
  volume={220},
  pages={19-34}
}
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34 Citations
Highly Influential Citations
5
Background Citations
15
Methods Citations
7
Results Citations
3

Tables from this paper

34 Citations

Solving Parity Games in Practice
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A generic solver is presented that intertwines optimisations with any of the existing parity game algorithms which is only called on parts of a game that cannot be solved faster by simpler methods, showing that using this approach vastly speeds up the solving process.
Parity games : descriptive complexity and algorithms for new solvers
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This thesis studies algorithms that solve parity games in that they determine which nodes are won by which player, and where such decisions are supported with winning strategies, and designs algorithms to reduce the computational complexity of parity games.
Oink: an Implementation and Evaluation of Modern Parity Game Solvers
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A new and easy to extend tool Oink is implemented, which is a high-performance implementation of modern parity game algorithms and solvers, both on real world benchmarks and randomly generated games.
An experimental study of algorithms and optimisations for parity games, with an application to
TLDR
The practical use of various optimisation techniques for solving parity games is investigated, showing that decomposition into strongly connected components and applying efficient algorithms for special cases are highly beneficial and the theoretic dependency on the number of priorities manifests itself in practice.
Efficient Instantiation of Parameterised Boolean Equation Systems to Parity Games
Parameterised Boolean Equation Systems (PBESs) are sequences of Boolean fixed point equations with data variables, used for, e.g., verification of modal mu-calculus formulae for process algebraic…
Solving µ-Calculus Parity Games by Symbolic Planning
TLDR
This paper applies symbolic planning to solve parity games equivalent to μ-calculus model checking problems with at most one fixpoint operator and partitioned images in the worst case.
Speeding up the small progress measures algorithm for parity games using the GPU
TLDR
Here, SPM is adapted to work on the many-core architecture used by modern graphics processing units (GPUs) and a new technique is introduced that can help to reduces parity game solving times by assigning priorities to edges instead of vertices, after which shortcut edges can be added to the graph.
An Experiment on Parallel Model Checking of a CTL Fragment
TLDR
One of the most novel contributions of this work is to study a space-efficient variant for CTL model-checking that does not require to store the whole transition graph but that operates, instead, on a reverse spanning tree.
Efficient Parallel Strategy Improvement for Parity Games
TLDR
This paper studies the best way to implement one-player strategy improvement, and develops an efficient parallel algorithm for carrying out this task, by reducing the problem to computing prefix sums on a linked list.
Concurrent Small Progress Measures
TLDR
A known implementation of multi-core machines (PW solver) is revisited, and an alternative implementation (CSPM), that reduces logical dependency on configuration state and makes performance less dependent on configuration details is suggested.
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