Properties
Every regular language is stochastic, and more strongly, every regular language is η-stochastic. A weak converse is that every 0-stochastic language is regular; however, the general converse does not hold: there are stochastic languages that are not regular.
Every η-stochastic language is stochastic, for some .
Every stochastic language is representable by a Rabin automaton.
If is an isolated cut-point, then is a regular language.
Read more about this topic: Probabilistic Automaton
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