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arXiv · 0910.2891

Average-Time Games on Timed Automata

Marcin Jurdzinski·Ashutosh Trivedi
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Abstract

An average-time game is played on the infinite graph of configurations of a finite timed automaton. The two players, Min and Max, construct an infinite run of the automaton by taking turns to perform a timed transition. Player Min wants to minimise the average time per transition and player Max wants to maximise it. A solution of average-time games is presented using a reduction to average-price game on a finite graph. A direct consequence is an elementary proof of determinacy for average-time games. This complements our results for reachability-time games and partially solves a problem posed by Bouyer et al., to design an algorithm for solving average-price games on priced timed automata. The paper also establishes the exact computational complexity of solving average-time games: the problem is EXPTIME-complete for timed automata with at least two clocks.

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Marcin Jurdzinski, Ashutosh Trivedi. 2009-10-15. Average-Time Games on Timed Automata. https://doi.org/10.4230/lipics.fsttcs.2008.1765

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