Learning stochastic timed automata from sample executions

  • Authors:
  • André de Matos Pedro;Paul Andrew Crocker;Simão Melo de Sousa

  • Affiliations:
  • University of Minho, Braga, Portugal;IT - Instituto de Telecomunicações, University of Beira Interior, Covilhã, Portugal;LIACC - Laboratório de Inteligência Artificial e Ciência de Computadores, University of Beira Interior, Covilhã, Portugal

  • Venue:
  • ISoLA'12 Proceedings of the 5th international conference on Leveraging Applications of Formal Methods, Verification and Validation: technologies for mastering change - Volume Part I
  • Year:
  • 2012

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Abstract

Generalized semi-Markov processes are an important class of stochastic systems which are generated by stochastic timed automata. In this paper we present a novel methodology to learn this type of stochastic timed automata from sample executions of a stochastic discrete event system. Apart from its theoretical interest for machine learning area, our algorithm can be used for quantitative analysis and verification in the context of model checking. We demonstrate that the proposed learning algorithm, in the limit, correctly identifies the generalized semi-Markov process given a structurally complete sample. This paper also presents a Matlab toolbox for our algorithm and a case study of the analysis for a multi-processor system scheduler with uncertainty in task duration.