Testing Membership for Timed Automata

Richard Lassaigne; Michel de Rougemont

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arXiv · 1912.08277

Testing Membership for Timed Automata

Richard Lassaigne·Michel de Rougemont

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Abstract

Given a timed automata which admits thick components and a timed word $x$, we present a tester which decides if $x$ is in the language of the automaton or if $x$ is $\epsilon$-far from the language, using finitely many samples taken from the weighted time distribution $\mu$ associated with an input $x$. We introduce a distance between timed words, the {\em timed edit distance}, which generalizes the classical edit distance. A timed word $x$ is $\epsilon$-far from a timed language if its relative distance to the language is greater than $\epsilon$.

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Richard Lassaigne, Michel de Rougemont. 2019-12-17. Testing Membership for Timed Automata. https://arxiv.org/abs/1912.08277

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