Decision Questions for Probabilistic Automata on Small Alphabets

We study the emptiness and $\lambda$-reachability problems for unary and binary Probabilistic Finite Automata (PFA) and characterise the complexity of these problems in terms of the degree of ambiguity of the automaton and the size of its alphabet. Our main result is that emptiness and $\lambda$-rea...

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Bibliographic Details
Main Authors: Paul C. Bell, Pavel Semukhin
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2023-12-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/9753/pdf