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  Learning deterministic linear languages (2002) [5 citations — 2 self]

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by Colin De La Higuera
In: Computational Learning Theory, COLT 02. Number 2375 in Lecture Notes in Artificial Intelligence
ftp://altea.dlsi.ua.es/people/oncina/articulos/colt2002.ps
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Abstract:

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. 1

Citations

274 Cryptographic limitations on learning Boolean formulae and finite automata – Kearns, Valiant - 1994
72 The minimum consistent DFA problem cannot be approximated within any polynomial – Pitt, Warmuth - 1993
46 Recent advances of grammatical inference – Sakakibara - 1997
32 Characteristic sets for polynomial grammatical inference – Higuera - 1997
21 Identifying regular languages in polynomial time – Oncina, Garcia - 1992
13 A hierarchy of language families learnable by regular language learners – Takada - 1994
12 Learning of context-free languages: A survey of the literature – Lee - 1996
6 A characterisation of Even Linear Languages and its application to the Learning Problem – Sempere, GarcĂ­a - 1994