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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References

SHOWING 1-10 OF 45 REFERENCES
An Accelerated Algorithm for 3-Color Parity Games with an Application to Timed Games
TLDR
An acceleration technique is presented that, while leaving the worst-case complexity unchanged, often leads to considerable speed-ups in games arising in practice, and of the symbolic implementation of the classical µ-calculus algorithm of Emerson and Jutla.
Small Progress Measures for Solving Parity Games
TLDR
A new algorithm for deciding the winner in parity games, and hence also for the modal µ-calculus model checking, based on a notion of game progress measures, characterized as pre-fixed points of certain monotone operators on a complete lattice.
Algorithms for Parity Games
  • H. Klauck
  • Computer Science
    Automata, Logics, and Infinite Games
  • 2001
TLDR
The aim of this chapter is to review some of the algorithmic approaches to the problem of computing winning strategies in parity games with finite arenas and other two-player games, and to underline the importance of looking for an efficient algorithm solving this particular problem.
A Discrete Strategy Improvement Algorithm for Solving Parity Games
A discrete strategy improvement algorithm is given for constructing winning strategies in parity games, thereby providing also a new solution of the model-checking problem for the modal μ-calculus.
Parallel Model Checking for LTL, CTL*, and Lµ2
Local Parallel Model Checking for the Alternation-Free µ-Calculus
We describe the design of (several variants of) a local parallel model-checking algorithm for the alternation-free fragment of the µ-calculus. It exploits a characterisation of the problem for this
Solving parity games in big steps
  • S. Schewe
  • Computer Science
    J. Comput. Syst. Sci.
  • 2007
A linear-time model-checking algorithm for the alternation-free modal mu-calculus
TLDR
A model-checking algorithm for a logic that permits propositions to be defined using greatest and least fixed points of mutually recursive systems of equations is developed, which improves on the best known algorithm for similar fixed-point logics.
Distributed On-the-Fly Model Checking and Test Case Generation
TLDR
This paper proposes Mb-DSolve, a new algorithm for distributed on-the-fly resolution of multiple block, alternation-free boolean equation systems (Bess), and proposes an encoding of the conformance test case generation problem as a Bes resolution from which a diagnostic representing the complete test graph is built.
...
...