Revisiting timed specification theories: a linear-time perspective

  • Authors:
  • Chris Chilton;Marta Kwiatkowska;Xu Wang

  • Affiliations:
  • Department of Computer Science, University of Oxford, UK;Department of Computer Science, University of Oxford, UK;Department of Computer Science, University of Oxford, UK

  • Venue:
  • FORMATS'12 Proceedings of the 10th international conference on Formal Modeling and Analysis of Timed Systems
  • Year:
  • 2012

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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.