Lower and Upper Bounds in Zone Based Abstractions of Timed Automata

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Authors

PELÁNEK Radek LARSEN Kim G. BEHRMANN Gerd BOUYER Patricia

Year of publication 2004
Type Article in Proceedings
Conference Tools and Algorithms for Construction and Analysis of Systems (TACAS 2004)
MU Faculty or unit

Faculty of Informatics

Citation
Field Informatics
Keywords model checking; timed automata; abstraction
Description Timed automata have an infinite semantics. For verification purposes, one usually uses zone based abstractions wrt. the maximal constants to which clocks of the timed automaton are compared. We show that by distinguishing maximal lower and upper bounds we can obtain significantly coarser abstractions. We show the soundness and completeness of the new abstractstions wrt. reachability and we experimentaly demonstrate their advantages. We demonstrate how information about lower and upper boudns can be used to optimise the algorithm for bringing a difference bound matrix into normal form. Finally, we experimentally demonstrate that the new techniques dramatically increases the scalability of the real-time model checker UPPAAL.
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