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Characteristic Formulae for Timed Automata

Published online by Cambridge University Press:  15 April 2002

Luca Aceto ,
Anna Ingólfsdóttir ,
Mikkel Lykke Pedersen  and
Jan Poulsen
Luca Aceto
Affiliation:
(asic esearch in omputer cience, Centre of the Danish National Research Foundation), Department of Computer Science, Aalborg University, Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Anna Ingólfsdóttir
Affiliation:
(asic esearch in omputer cience, Centre of the Danish National Research Foundation), Department of Computer Science, Aalborg University, Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Mikkel Lykke Pedersen
Affiliation:
(asic esearch in omputer cience, Centre of the Danish National Research Foundation), Department of Computer Science, Aalborg University, Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Jan Poulsen
Affiliation:
(asic esearch in omputer cience, Centre of the Danish National Research Foundation), Department of Computer Science, Aalborg University, Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
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Abstract

This paper offers characteristic formula constructions in the real-time logic Lν for several behavioural relations between (states of) timed automata. The behavioural relations studied in this work are timed (bi)similarity, timed ready simulation, faster-than bisimilarity and timed trace inclusion. The characteristic formulae delivered by our constructions have size which is linear in that of the timed automaton they logically describe. This also applies to the characteristic formula for timed bisimulation equivalence, for which an exponential space construction was previously offered by Laroussinie, Larsen and Weise.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 6 , November 2000 , pp. 565 - 584
Copyright
© EDP Sciences, 2000

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