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arXiv · 1104.1540

Efficient Emptiness Check for Timed B\"uchi Automata (Extended version)

Frédéric Herbreteau·B. Srivathsan·Igor Walukiewicz
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Abstract

The B\"uchi non-emptiness problem for timed automata refers to deciding if a given automaton has an infinite non-Zeno run satisfying the B\"uchi accepting condition. The standard solution to this problem involves adding an auxiliary clock to take care of the non-Zenoness. In this paper, it is shown that this simple transformation may sometimes result in an exponential blowup. A construction avoiding this blowup is proposed. It is also shown that in many cases, non-Zenoness can be ascertained without extra construction. An on-the-fly algorithm for the non-emptiness problem, using non-Zenoness construction only when required, is proposed. Experiments carried out with a prototype implementation of the algorithm are reported.

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Frédéric Herbreteau, B. Srivathsan, Igor Walukiewicz. 2011-04-08. Efficient Emptiness Check for Timed B\"uchi Automata (Extended version). https://doi.org/10.1007/s10703-011-0133-1

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