Polynomial-Time Under-Approximation of Winning Regions in Parity Games

@article{Antonik2009PolynomialTimeUO,
  title={Polynomial-Time Under-Approximation of Winning Regions in Parity Games},
  author={Adam Antonik and Nathaniel Charlton and Michael Huth},
  journal={Electron. Notes Theor. Comput. Sci.},
  year={2009},
  volume={225},
  pages={115-139}
}
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14 Citations
Highly Influential Citations
1
Background Citations
3
Methods Citations
6

14 Citations

Parity games : descriptive complexity and algorithms for new solvers
TLDR
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.
Improving parity games in practice
TLDR
This work deeply revisit the implementation of Zielonka’s recursive algorithm by dealing with the use of specific data structures and programming languages such as Scala, Java, C++, and Go, and shows that these choices are successful.
Solving Parity Games Using an Automata-Based Algorithm
TLDR
Parity games are abstract infinite-round games that take an important role in formal verification and are implemented in a platform named PGSolver, which enabled an empirical evaluation of these algorithms and a better understanding of their relative merits.
Solving Parity Games in Practice
TLDR
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.
Parallel Parity Games: a Multicore Attractor for the Zielonka Recursive Algorithm
Solving parity games through fictitious play
TLDR
It is proved that the basic algorithm performs demonstrably well against existing solvers in experiments over a large number and variety of games and is conjectured to have a run time complexity bounded by O(n4 log(n)) and I provide a discussion of strategy graphs and their emperically observed properties.
Practical Improvements to Parity Game Solving
TLDR
The empirical results will support the conclusion that considerable improvements over the state of the art are possible using a combination of careful tool design and implementation, application of powerful preprocessing operations, and the use of advanced heuristics in the implementation of the Small Progress Measures algorithm.
Practical improvements to parity game solving
TLDR
The empirical results will support the conclusion that considerable improvements over the state of the art are possible using a combination of careful tool design and implementation, application of powerful preprocessing operations, and the use of advanced heuristics in the implementation of the Small Progress Measures algorithm.
Solving Parity Games in Scala
TLDR
PGSolver, written in OCaml, which has been elected by the community as the de facto platform to solve efficiently parity games as well as evaluate their performance in several specific cases.
Toward a multilevel scalable parallel Zielonka's algorithm for solving parity games
TLDR
The feasibility analysis of a multi‐grained parallel version of the Zielonka Recursive (ZR) algorithm exploiting the coarse‐ and fine‐ grained concurrency is performed and it is confirmed that while a fine‐Grained parallelism have a clear performance limitation, the performance gain one can get by employing a multilevel parallelism is significant.
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