# Static Analysis of Parity Games: Alternating Reachability Under Parity

@inproceedings{Huth2016StaticAO, title={Static Analysis of Parity Games: Alternating Reachability Under Parity}, author={Michael Huth and Jim Huan-Pu Kuo and Nir Piterman}, booktitle={Semantics, Logics, and Calculi}, year={2016} }

It is well understood that solving parity games is equivalent, upi¾?to polynomial time, to model checking of the modal mu-calculus. It is a long-standing open problem whether solving parity games or model checking modal mu-calculus formulas can be done in polynomial time. Ai¾?recent approach to studying this problem has been the design of partial solvers, algorithms that run in polynomial time and that may only solve parts of a parity game. Although it was shown that such partial solvers can…

## 5 Citations

Parity game reductions

- EconomicsActa Informatica
- 2017

This work reconsiders (governed) bisimulation and ( governed) stuttering bisimulations, and gives detailed proofs that these relations are equivalences, have unique quotients and they approximate the winning regions of parity games.

Partial Solvers for Parity Games: Effective Polynomial-Time Composition

- Computer ScienceGandALF
- 2016

It is shown that use of such composition patterns discovers new partial solvers - including those that merge node sets that have the same but unknown winner - by studying games that composed partialsolvers can neither solve nor simplify.

Eﬀective partial solvers for parity games 1

- Computer Science
- 2016

It is shown that an implementation of this semantic framework manually discovers new partial solvers – including those that merge node sets that have the same but unknown winner – by studying games that composed partialsolvers can neither solve nor simplify.

Partial Solvers for Generalized Parity Games

- Computer ScienceRP
- 2019

This paper combines the classical recursive algorithm for parity games due to Zielonka with partial solvers for generalized parity games that are games with conjunction of parity objectives or disjunction of parity objective.

Ju l 2 01 9 Partial Solvers for Generalized Parity Games

- Computer Science
- 2019

This paper combines the classical recursive algorithm for parity games due to Zielonka with partial solvers for generalized parity games that are games with conjunction of parity objectives or disjunction of parity objective.

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