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[CKW12b] C. Chilton, M. Kwiatkowska and X. Wang. Revisiting Timed Specification Theories: A Linear-Time Perspective. Technical report CS-RR-12-04, Department of Computer Science, University of Oxford. 2012. [pdf] [bib]
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Notes: This is an extended version, including proofs, of [CKW12].
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.