Timed Automata with Integer Resets: Language Inclusion and Expressiveness

  • Authors:
  • P. Vijay Suman;Paritosh K. Pandya;Shankara Narayanan Krishna;Lakshmi Manasa

  • Affiliations:
  • Tata Institute of Fundamental Research, , India;Tata Institute of Fundamental Research, , India;Indian Institute of Technology, , Bombay, India;Indian Institute of Technology, , Bombay, India

  • Venue:
  • FORMATS '08 Proceedings of the 6th international conference on Formal Modeling and Analysis of Timed Systems
  • Year:
  • 2008

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Abstract

In this paper, we consider a syntactic subset of timed automata called integer reset timed automata (IRTA) where resetsare restricted to occur at integral time points. We argue with examples that the notion of global sparse time base used in time triggered architecture and distributed web services can naturally be modelled/specified as IRTA. As our main result, we show that the language inclusion problem $L(\mathcal A) \subseteq L(\mathcal{B})$ for a timed automaton $\mathcal A$ and an IRTA $\mathcal{B}$ is decidable with EXPSPACE complexity. The expressive power and the closure properties of IRTA are also summarized. In particular, the IRTA are (highly succinct but) expressively equivalent to 1-clock deterministic IRTA and they are closed under boolean operations.