Strategy machines and their complexity

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Abstract

We introduce a machine model for the execution of strategies in (regular) infinite games that refines the standard model of Mealy automata. This model of controllers is formalized in the terminological framework of Turing machines. We show how polynomially sized controllers can be found for Muller and Streett games. We are able to distinguish aspects of executing strategies ("size", "latency", "space consumption") that are not visible in Mealy automata. Also, lower bound results are obtained. © 2012 Springer-Verlag.

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Gelderie, M. (2012). Strategy machines and their complexity. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7464 LNCS, pp. 431–442). https://doi.org/10.1007/978-3-642-32589-2_39

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