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标题：Mean-Payoff Games on Timed Automata
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作者：Shibashis Guha ; Marcin Jurdzinski ; Shankara Narayanan Krishna 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2016
卷号：65
页码：44:1-44:14
DOI：10.4230/LIPIcs.FSTTCS.2016.44
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players - Player Min and Player Max - by moving a token along the states of the graph to form an infinite run. The goal of Player Min is to minimize the limit average weight of the run, while the goal of the Player Max is the opposite. Brenguier, Cassez, and Raskin recently studied a variation of these games and showed that mean-payoff games are undecidable for timed automata with five or more clocks. We refine this result by proving the undecidability of mean-payoff games with three clocks. On a positive side, we show the decidability of mean-payoff games on one-clock timed automata with binary price-rates. A key contribution of this paper is the application of dynamic programming based proof techniques applied in the context of average reward optimization on an uncountable state and action space.
关键词：Timed Automata; Mean-Payoff Games; Controller-Synthesis