An example distribution for probabilistic query learning of simple deterministic languages

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Yasuhiro Tajima, Genichiro Kikui ;
The 12th International Conference on Grammatical Inference, PMLR 34:182-192, 2014.

Abstract

In this paper, we show a special example distribution on which the learner can guess a correct simple deterministic grammar in polynomial time from membership queries and random examples. At first, we show a learning algorithm of simple deterministic languages from membership and equivalence queries. This algorithm is not a polynomial time algorithm but, assuming a special example distribution, we can modify it to the polynomial time probabilistic learning algorithm.

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