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arXiv · 1104.3054

Pushing undecidability of the isolation problem for probabilistic automata

Nathanaël Fijalkow·Hugo Gimbert·Youssouf Oualhadj
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Abstract

This short note aims at proving that the isolation problem is undecidable for probabilistic automata with only one probabilistic transition. This problem is known to be undecidable for general probabilistic automata, without restriction on the number of probabilistic transitions. In this note, we develop a simulation technique that allows to simulate any probabilistic automaton with one having only one probabilistic transition.

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Nathanaël Fijalkow, Hugo Gimbert, Youssouf Oualhadj. 2011-04-14. Pushing undecidability of the isolation problem for probabilistic automata. https://arxiv.org/abs/1104.3054

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