Learning Rational Functions

Rational functions are transformations from words to words that can be defined by string transducers. Rational functions are also captured by deterministic string transducers with lookahead. We show for the first time that the class of rational functions can be learned in the limit with polynomial t...

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Bibliographic Details
Published inDevelopments in Language Theory pp. 273 - 283
Main Authors Boiret, Adrien, Lemay, Aurélien, Niehren, Joachim
Format Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg
SeriesLecture Notes in Computer Science
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Summary:Rational functions are transformations from words to words that can be defined by string transducers. Rational functions are also captured by deterministic string transducers with lookahead. We show for the first time that the class of rational functions can be learned in the limit with polynomial time and data, when represented by string transducers with lookahead in the diagonal-minimal normal form that we introduce.
ISBN:9783642316524
3642316522
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-642-31653-1_25