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Chomsky-Schützenberger Type Characterizations of Poly-Slender and Parikh Slender Context-Free Languages

✍ Scribed by Masami Ito; Carlos Martín-Vide; Victor Mitrana


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
272 KB
Volume
53
Category
Article
ISSN
1571-0661

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✦ Synopsis


In this paper we propose a Chomsky-Schützenberger type characterization ofpoly-slender context-free languages, as the homomorphical image of an intersection of a Dyck language and a ´¾ • ½ µ -poly-slender regular language. A stronger result is provided, namely the homomorphism and the Dyck language are determined irrespective of the given poly-slender context-free language, when considering the family of all poly-slender context-free languages. A similar characterization is obtained for Parikh slender context-free languages.