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DOI: 10.1051/ita:2000131
Theoret. Informatics Appl. 34 (2000) 565-584
Characteristic Formulae for Timed Automata
Luca Aceto
BRICS (Basic Research in Computer Science, Centre of the Danish
National Research Foundation),
Department of Computer Science, Aalborg University,
Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Anna Ingólfsdóttir
BRICS (Basic Research in Computer Science, Centre of the Danish
National Research Foundation),
Department of Computer Science, Aalborg University,
Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Mikkel Lykke Pedersen
BRICS (Basic Research in Computer Science, Centre of the Danish
National Research Foundation),
Department of Computer Science, Aalborg University,
Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Jan Poulsen
BRICS (Basic Research in Computer Science, Centre of the Danish
National Research Foundation),
Department of Computer Science, Aalborg University,
Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark.
Received August 15, 2000. Accepted March 14, 2001
Abstract: This paper offers characteristic formula constructions in the
real-time logic
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.
AMS Subject Classification: 68Q60, 68Q10.
Communicated by: Z. Ésik
Copyright EDP Sciences
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