Timed I/O Automata: A Mathematical Framework for Modeling and Analyzing Real-Time Systems

  • Authors:
  • Dilsun K. Kaynar;Nancy Lynch;Roberto Segala;Frits Vaandrager

  • Affiliations:
  • -;-;-;-

  • Venue:
  • RTSS '03 Proceedings of the 24th IEEE International Real-Time Systems Symposium
  • Year:
  • 2003

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Abstract

We describe the Timed Input/Output Automata (TIOA)framework, a general mathematical framework for modelingand analyzing real-time systems. It is based on timedI/O automata, which engage in both discrete transitions andcontinuous trajectories. The framework includes a notionof external behavior, and notions of composition and abstraction.We define safety and liveness properties for timedI/O automata, and a notion of receptiveness, and prove basicresults about all of these notions. The TIOA frameworkis defined as a special case of the new Hybrid I/O Automata(HIOA) modeling framework for hybrid systems. Specifically,a TIOA is an HIOA with no external variables; thus,TIOAs communicate via shared discrete actions only, anddo not interact continuously. This restriction is consistentwith previous real-time system models, and gives rise tosome simplifications in the theory (compared to HIOA). Theresulting model is expressive enough to describe complextiming behavior, and to express the important ideas of previoustimed automata frameworks.