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Cited by 2,114

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Learning regular sets from queries and counterexamples

Open access
Angluin, Dana·1987·Information and Computation

Abstract

The problem of identifying an unknown regular set from examples of its members and nonmembers is addressed. It is assumed that the regular set is presented by a minimaMy adequate Teacher, which can answer membership queries about the set and can also test a conjecture and indicate whether it is equal to the unknown set and provide a counterexample if not. (A counterexample is a string in the symmetric difference of the correct set and the conjectured set.) A learning algorithm L * is described that correctly learns any regular set from any minimally adequate Teacher in time polynomial in the number of states of the minimum dfa for the set and the maximum length of any counterexample provided by the Teacher. It is shown that in a stochastic setting the ability of the Teacher to test conjectures may be replaced by a random sampling oracle, EX (). A polynomial-time learning algorithm is shown for a particular problem of context-free language identification. cl 1987 Academic Press, Inc. 1.

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Metadata

Authors
Angluin, D.
Venue
Information and Computation
Publisher
Elsevier BV
Published
1987-11
Volume
75
Issue
2
Pages
87-106
ISSN
0890-5401 (ISSN-L)
OpenAlex
W1989445634
Cited by
2,114
References
1
FWCI
24.49
Type
journal article
Language
en
Open access
hybrid

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