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Communication Dans Un Congrès Année : 2021

New Algorithms for Combinations of Objectives using Separating Automata

Résumé

The notion of separating automata was introduced by Bojanczyk and Czerwinski for understanding the first quasipolynomial time algorithm for parity games. In this paper we show that separating automata is a powerful tool for constructing algorithms solving games with combinations of objectives. We construct two new algorithms: the first for disjunctions of parity and mean payoff objectives, matching the best known complexity, and the second for disjunctions of mean payoff objectives, improving on the state of the art. In both cases the algorithms are obtained through the construction of small separating automata, using as black boxes the existing constructions for parity objectives and for mean payoff objectives.

Dates et versions

hal-04286737 , version 1 (15-11-2023)

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Citer

Ashwani Anand, Nathanaël Fijalkow, Aliénor Goubault-Larrecq, Jérôme Leroux, Pierre Ohlmann. New Algorithms for Combinations of Objectives using Separating Automata. GandALF 2021 : International Symposium on Games, Automata, Logics, and Formal Verification, Sep 2021, Padua, Italy. pp.227-240, ⟨10.4204/EPTCS.346.15⟩. ⟨hal-04286737⟩
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