A Recursive Approach to Solving Parity Games in Quasipolynomial Time



Lehtinen, Karoliina, Parys, Paweł ORCID: 0000-0001-7247-1408, Schewe, Sven ORCID: 0000-0002-9093-9518 and Wojtczak, Dominik ORCID: 0000-0001-5560-0546
(2022) A Recursive Approach to Solving Parity Games in Quasipolynomial Time. Logical Methods in Computer Science, Volume (1).

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Abstract

<jats:p>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, while currently the state-of-the-art algorithms have quasipolynomial complexity. Here, we present a modification of Zielonka's classic algorithm that brings its complexity down to $n^{O\left(\log\left(1+\frac{d}{\log n}\right)\right)}$, for parity games of size $n$ with $d$ priorities, in line with previous quasipolynomial-time solutions.</jats:p>

Item Type: Article
Uncontrolled Keywords: Clinical Research
Divisions: Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User: Symplectic Admin
Date Deposited: 19 Nov 2021 08:16
Last Modified: 15 Mar 2024 00:25
DOI: 10.46298/lmcs-18(1:8)2022
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3143440