Revisiting Timed Specification Theories: A Linear-Time Perspective

Chris Chilton (1) , Marta Kwiatkowska (1) , Xu Wang (1)

1 Department of Computer Science [Oxford]

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.

Domaines: Informatique

Chris Chilton, Marta Kwiatkowska, Xu Wang. Revisiting Timed Specification Theories: A Linear-Time Perspective. 10th International Conference on Formal Modeling and Analysis of Timed Systems, Sep 2012, London, United Kingdom. pp.75-90. ⟨hal-00739584⟩