A Zone-Based Algorithm for Timed Parity Games

Fuente: arXiv
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Autori principali: Geeraerts, Gilles, Herbreteau, Frédéric, Raskin, Jean-François, Reynouard, Alexis
Natura: Preprint
Pubblicazione: 2025
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author Geeraerts, Gilles
Herbreteau, Frédéric
Raskin, Jean-François
Reynouard, Alexis
author_facet Geeraerts, Gilles
Herbreteau, Frédéric
Raskin, Jean-François
Reynouard, Alexis
contents This paper revisits timed games by building upon the semantics introduced in "The Element of Surprise in Timed Games". We introduce some modifications to this semantics for two primary reasons: firstly, we recognize instances where the original semantics appears counterintuitive in the context of controller synthesis; secondly, we present methods to develop efficient zone-based algorithms. Our algorithm successfully addresses timed parity games, and we have implemented it using UppAal's zone library. This prototype effectively demonstrates the feasibility of a zone-based algorithm for parity objectives and a rich semantics for timed interactions between the players.
format Preprint
id arxiv_https___arxiv_org_abs_2510_07361
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Zone-Based Algorithm for Timed Parity Games
Geeraerts, Gilles
Herbreteau, Frédéric
Raskin, Jean-François
Reynouard, Alexis
Logic in Computer Science
This paper revisits timed games by building upon the semantics introduced in "The Element of Surprise in Timed Games". We introduce some modifications to this semantics for two primary reasons: firstly, we recognize instances where the original semantics appears counterintuitive in the context of controller synthesis; secondly, we present methods to develop efficient zone-based algorithms. Our algorithm successfully addresses timed parity games, and we have implemented it using UppAal's zone library. This prototype effectively demonstrates the feasibility of a zone-based algorithm for parity objectives and a rich semantics for timed interactions between the players.
title A Zone-Based Algorithm for Timed Parity Games
topic Logic in Computer Science
url https://arxiv.org/abs/2510.07361