Inferring deterministic linear languages

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Abstract

Linearity and determinism seem to be two essential conditions for polynomial language learning to be possible. We compare several definitions of deterministic linear grammars, and for a reasonable definition prove the existence of a canonical normal form. This enables us to obtain positive learning results in case of polynomial learning from a given set of both positive and negative examples. The resulting class is the largest one for which this type of results has been obtained so far.

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De La Higuera, C., & Oncina, J. (2002). Inferring deterministic linear languages. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 2375, pp. 185–200). Springer Verlag. https://doi.org/10.1007/3-540-45435-7_13

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