2001 | OriginalPaper | Buchkapitel
Decidable Approximations on Generalized and Parameterized Discrete Timed Automata
verfasst von : Zhe Dang, Oscar H. Ibarra, Richard A. Kemmerer
Erschienen in: Computing and Combinatorics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We consider generalized discrete timed automata with general linear relations over clocks and parameterized constants as clock constraints and with parameterized durations. We look at three approximation techniques (i.e., the r-reset-bounded approximation, the B-bounded approximation, and the 〈B, r〉-crossing-bounded approximation), and derive automata-theoretic characterizations of the binary reachability under these approximations. The characterizations allow us to show that the safety analysis problem is decidable for generalized discrete timed automata with unit durations and for deterministic generalized discrete timed automata with parameterized durations. An example specification written in ASTRAL is used to run a number of experiments using one of the approximation techniques.