Abstract
We consider the setting of component-based design for real-time systems with critical timing constraints. Based on our earlier work, we propose a compositional specification theory for timed automata with I/O distinction, which supports substitutive refinement. Our theory provides the operations of parallel composition for composing components at run-time, logical conjunction/disjunction for independent development, and quotient for incremental synthesis. The key novelty of our timed theory lies in a weakest congruence preserving safety as well as bounded liveness properties. We show that the congruence can be characterised by two linear-time semantics, timed-traces and timed-strategies, the latter of which is derived from a game-based interpretation of timed interaction.
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Chilton, C., Kwiatkowska, M., Wang, X. (2012). Revisiting Timed Specification Theories: A Linear-Time Perspective. In: Jurdziński, M., Ničković, D. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2012. Lecture Notes in Computer Science, vol 7595. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33365-1_7
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DOI: https://doi.org/10.1007/978-3-642-33365-1_7
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