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
✦ LIBER ✦
On Parikh Slender Languages and Power Series
✍ Scribed by Juha Honkala
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 266 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
✦ Synopsis
We define and study Parikh slender languages and power series. A language is Parikh slender if the number of words in the language with the same Parikh vector is bounded from above. As an application we get a new method for ambiguity proofs of context-free languages and a new proof of an earlier result of Autebert, Flajolet, and Gabarro concerning prefixes of infinite words.
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