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Revisiting Timed Specification Theories: A Linear−Time Perspective

Chris Chilton‚ Marta Kwiatkowska and Xu Wang

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 speci cation theory for timed automata with I/O distinction, which supports substitutive re nement. 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.

Institution
DCS
Number
CS−RR−12−04
Pages
20
Year
2012