From I/O Automata to Timed I/O Automata

  • Authors:
  • Bernd Grobauer;Olaf Müller

  • Affiliations:
  • -;-

  • Venue:
  • TPHOLs '99 Proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics
  • Year:
  • 1999

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Abstract

The model of timed I/O automata represents an extension of the model of I/O automata with the aim of reasoning about real-time systems. A number of case studies using timed I/O automata has been carried out, among them a treatment of the so-called Generalized Railroad Crossing (GRC). An already existing formalization of the meta-theory of I/O automata within Isabelle/HOLCF allows for fully formal tool-supported Verification using I/O automata. We present a modification of this formalization which accomodates for reasoning about timed I/O automata. The guiding principle in choosing the parts of the meta-theory of timed I/O automata to formalize has been to provide all the theory necessary for formalizing the solution to the GRC. This leads to a formalization of the GRC, in which not only the correctness proof itself has been formalized, but also the underlying meta-theory of timed I/O automata, on which the correctness proof is based.