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A characterization of poly-slender context-free languages

Published online by Cambridge University Press:  15 April 2002

Lucian Ilie ,
Grzegorz Rozenberg  and
Arto Salomaa
Lucian Ilie
Affiliation:
Turku Centre for Computer Science TUCS, 20520 Turku, Finland. Research supported by the Academy of Finland, Project 137358. On leave of absence from Faculty of Mathematics, University of Bucharest, Str. Academiei 14, 70109 Bucharest, Romania.
Grzegorz Rozenberg
Affiliation:
Department of Computer Science, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands and Department of Computer Science, University of Colorado at Boulder, Boulder, CO 80309, U.S.A.
Arto Salomaa
Affiliation:
Turku Centre for Computer Science TUCS, 20520 Turku, Finland.Department of Computer Science, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands and Department of Computer Science, University of Colorado at Boulder, Boulder, CO 80309, U.S.A.
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Abstract

For a non-negative integer k, we say that a language L is k-poly-slender if the number of words of length n in L is of order ${\cal O}(n^k)$. We give a precise characterization of the k-poly-slender context-free languages. The well-known characterization of the k-poly-slender regular languages is an immediate consequence of ours.

Keywords

Context-free languagepoly-slender languageDyck loop.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 1 , January 2000 , pp. 77 - 86
Copyright
© EDP Sciences, 2000

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