Jeremy Sproston - Probabilistic Timed Automata with One Clock and Initialised Clock-Dependent Probabilities

lmcs:6951 - Logical Methods in Computer Science, November 3, 2021, Volume 17, Issue 4 -
Probabilistic Timed Automata with One Clock and Initialised Clock-Dependent ProbabilitiesArticle

Authors: Jeremy Sproston

    Clock-dependent probabilistic timed automata extend classical timed automata with discrete probabilistic choice, where the probabilities are allowed to depend on the exact values of the clocks. Previous work has shown that the quantitative reachability problem for clock-dependent probabilistic timed automata with at least three clocks is undecidable. In this paper, we consider the subclass of clock-dependent probabilistic timed automata that have one clock, that have clock dependencies described by affine functions, and that satisfy an initialisation condition requiring that, at some point between taking edges with non-trivial clock dependencies, the clock must have an integer value. We present an approach for solving in polynomial time quantitative and qualitative reachability problems of such one-clock initialised clock-dependent probabilistic timed automata. Our results are obtained by a transformation to interval Markov decision processes.

    Volume: Volume 17, Issue 4
    Published on: November 3, 2021
    Accepted on: August 17, 2021
    Submitted on: December 2, 2020
    Keywords: Computer Science - Logic in Computer Science


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