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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...
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