Games on Graphs: From Logic and Automata to Algorithms

Nathanaël Fijalkow; C. Aiswarya; Guy Avni; Nathalie Bertrand; Patricia Bouyer; Romain Brenguier; Arnaud Carayol; Antonio Casares; John Fearnley; Paul Gastin; Hugo Gimbert; Thomas A. Henzinger; Florian Horn; Rasmus Ibsen-Jensen; Nicolas Markey; Benjamin Monmege; Petr Novotný; Pierre Ohlmann; Mickael Randour; Ocan Sankur; Sylvain Schmitz; Olivier Serre; Mateusz Skomra; Nathalie Sznajder; Pierre Vandenhove

arXiv · 2305.10546

Games on Graphs: From Logic and Automata to Algorithms

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Abstract

The objective of this book is to give a comprehensive presentation of the research field concerned with infinite duration games on graphs. Historically, these game models appeared in the study of automata and logic, and they later became important for program verification and synthesis. They have many more applications, in particular some of the models investigated in this book were introduced and studied in neighbouring research communities such as optimisation, reinforcement learning, model theory, and set theory.

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Nathanaël Fijalkow, C. Aiswarya, Guy Avni, Nathalie Bertrand, Patricia Bouyer, Romain Brenguier, Arnaud Carayol, Antonio Casares, John Fearnley, Paul Gastin, Hugo Gimbert, Thomas A. Henzinger, Florian Horn, Rasmus Ibsen-Jensen, Nicolas Markey, Benjamin Monmege, Petr Novotný, Pierre Ohlmann, Mickael Randour, Ocan Sankur, Sylvain Schmitz, Olivier Serre, Mateusz Skomra, Nathalie Sznajder, Pierre Vandenhove. 2023-05-17. Games on Graphs: From Logic and Automata to Algorithms. https://arxiv.org/abs/2305.10546

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