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Simulations for Event-Clock Automata

Authors S. Akshay , Paul Gastin , R. Govind , B. Srivathsan



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S. Akshay
  • Department of CSE, Indian Institute of Technology Bombay, Mumbai, India
Paul Gastin
  • Université Paris-Saclay, ENS Paris-Saclay, CNRS, LMF, 91190, Gif-sur-Yvette, France
  • CNRS, ReLaX, IRL 2000, Siruseri, India
R. Govind
  • Department of CSE, Indian Institute of Technology Bombay, Mumbai, India
B. Srivathsan
  • Chennai Mathematical Institute, India
  • CNRS, ReLaX, IRL 2000, Siruseri, India

Cite AsGet BibTex

S. Akshay, Paul Gastin, R. Govind, and B. Srivathsan. Simulations for Event-Clock Automata. In 33rd International Conference on Concurrency Theory (CONCUR 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 243, pp. 13:1-13:18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.CONCUR.2022.13

Abstract

Event-clock automata are a well-known subclass of timed automata which enjoy admirable theoretical properties, e.g., determinizability, and are practically useful to capture timed specifications. However, unlike for timed automata, there exist no implementations for event-clock automata. A main reason for this is the difficulty in adapting zone-based algorithms, critical in the timed automata setting, to the event-clock automata setting. This difficulty was studied in [Gilles Geeraerts et al., 2011; Gilles Geeraerts et al., 2014], where the authors also proposed a solution using zone extrapolations. In this paper, we propose an alternative zone-based algorithm, using simulations for finiteness, to solve the reachability problem for event-clock automata. Our algorithm exploits the 𝒢-simulation framework, which is the coarsest known simulation relation for reachability, and has been recently used for advances in other extensions of timed automata.

Subject Classification

ACM Subject Classification
  • Theory of computation → Timed and hybrid models
  • Theory of computation → Quantitative automata
  • Theory of computation → Logic and verification
Keywords
  • Event-clock automata
  • verification
  • zones
  • simulations
  • reachability

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