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	2006
Type	Article in Periodical
Magazine / Source	International Journal on Software Tools for Technology Transfer (STTT)
MU Faculty or unit	Faculty of Informatics
Citation
Field	Informatics
Keywords	model checking; timed automata; verification; abstraction; extrapolation
Description	Timed automata have an infinite semantics. For verification purposes, one usually uses zone based abstractions w.r.t. the maximal constants to which clocks of the timed automaton are compared. We show that by distinguishing maximal lower and upper bounds, significantly coarser abstractions can be obtained. We show soundness and completeness of the new abstractions w.r.t. reachability. We demonstrate how information about lower and upper bounds 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.
Related projects:	Automated Verification of Parallel and Distributed Systems Institute for Theoretical Computer Science Highly Parallel and Distributed Computing Systems