Abstract
In the classical framework of formal languages, a refinement operation is modeled by a substitution and an abstraction by an inverse substitution. These mechanisms have been widely studied, because they describe a change in the specification level, from an abstract view to a more concrete one, or conversely. For timed systems, there is up to now no uniform notion of substitutions. In this paper, we study the timed substitutions in the general framework of signal-event languages, where both signals and events are taken into account. We prove that regular signal-event languages are closed under substitutions and inverse substitutions.
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Bérard, B., Gastin, P., Petit, A. (2006). Refinements and Abstractions of Signal-Event (Timed) Languages. In: Asarin, E., Bouyer, P. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2006. Lecture Notes in Computer Science, vol 4202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11867340_6
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DOI: https://doi.org/10.1007/11867340_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45026-9
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