A Matrix-Based Approach to Parity Games

S Aggarwal, AS De La Banda, L Yang… - … Conference on Tools …, 2023 - Springer
Parity games are two-player zero-sum games of infinite duration played on finite graphs for
which no solution in polynomial time is still known. Solving a parity game is an NP∩ co-NP …

Solving parity games: Explicit vs symbolic

A Di Stasio, A Murano, MY Vardi - … , PE, Canada, July 30–August 2, 2018 …, 2018 - Springer
In this paper we provide a broad investigation of the symbolic approach for solving Parity
Games. Specifically, we implement in a fresh tool, called, four symbolic algorithms to solve …

A recursive approach to solving parity games in quasipolynomial time

K Lehtinen, P Parys, S Schewe… - Logical Methods in …, 2022 - lmcs.episciences.org
Zielonka's classic recursive algorithm for solving parity games is perhaps the simplest
among the many existing parity game algorithms. However, its complexity is exponential …

Explicit and Symbolic Approaches for Parity Games

A Di Stasio - CEUR Workshop Proceedings, 2023 - openaccess.city.ac.uk
In this paper, we review a broad investigation of the symbolic approach for solving Parity
Games. Specifically, we implement in a tool, called SymPGSolver, four symbolic algorithms …

Solving parity games using an automata-based algorithm

A Di Stasio, A Murano, G Perelli, MY Vardi - International Conference on …, 2016 - Springer
Parity games are abstract infinite-round games that take an important role in formal
verification. In the basic setting, these games are two-player, turn-based, and played under …

On-the-fly solving for symbolic parity games

M Laveaux, W Wesselink, TAC Willemse - … on Tools and Algorithms for the …, 2022 - Springer
Parity games can be used to represent many different kinds of decision problems. In
practice, tools that use parity games often rely on a specification in a higher-order logic from …

Parity games: Zielonka's algorithm in quasi-polynomial time

P Parys - arXiv preprint arXiv:1904.12446, 2019 - arxiv.org
Calude, Jain, Khoussainov, Li, and Stephan (2017) proposed a quasi-polynomial-time
algorithm solving parity games. After this breakthrough result, a few other quasi-polynomial …

Alpaga: A tool for solving parity games with imperfect information

D Berwanger, K Chatterjee, M De Wulf, L Doyen… - … 2009, Held as Part of the …, 2009 - Springer
Alpaga is a solver for two-player parity games with imperfect information. Given the
description of a game, it determines whether the first player can ensure to win and, if so, it …

Solving parity games via priority promotion

M Benerecetti, D Dell'Erba, F Mogavero - … Toronto, ON, Canada, July 17-23 …, 2016 - Springer
We consider parity games, a special form of two-player infinite-duration games on
numerically labelled graphs, whose winning condition requires that the maximal value of a …

3 Algorithms for Solving Parity Games Marcin Jurdziński University of Warwick

M Jurdziński - Lectures in Game Theory for Computer Scientists, 2011 - books.google.com
This is a selective survey of algorithms for solving parity games, which are infinite games
played on finite graphs. Parity games are an important class of omega-regular games, ie …