A Kleene theorem for timed automata
- 22 November 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 863 (10436871) , 160-171
- https://doi.org/10.1109/lics.1997.614944
Abstract
In this paper we define timed regular expressions, and extension of regular expressions for specifying sets of dense-time discrete-valued signals. We show that this formalism is equivalent in expressive power to the timed automata of Alur and Dill by providing a translation procedure from expressions to automata and vice versa. the result is extended to /spl omega/-regular expressions (Buchi's theorem).Keywords
This publication has 3 references indexed in Scilit:
- A theory of timed automataPublished by Elsevier ,2002
- Regular Expressions and State Graphs for AutomataIEEE Transactions on Electronic Computers, 1960
- Representation of Events in Nerve Nets and Finite AutomataPublished by Walter de Gruyter GmbH ,1956