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Fast detection of cycles in timed automata (1410.4509v1)
Published 15 Oct 2014 in cs.LO and cs.FL
Abstract: We propose a new efficient algorithm for detecting if a cycle in a timed automaton can be iterated infinitely often. Existing methods for this problem have a complexity which is exponential in the number of clocks. Our method is polynomial: it essentially does a logarithmic number of zone canonicalizations. This method can be incorporated in algorithms for verifying B\"uchi properties on timed automata. We report on some experiments that show a significant reduction in search space when our iteratability test is used.