On representing RE languages by one-sided internal contextual languages

In this paper we prove that each recursively enumerable language L can be written in the form L — cutd(L' fl R), where L' is a language generated by a one-sided internal contextual grammar witli context-free choice, R is a regular language, and cutd is the operation which removes the prefi...

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Bibliographic Details
Main Authors: Ehrenfeucht Andrzej
Mateescu Alexandru
Păun Gheorghe
Rozenberg Grzegorz
Salomaa Arto
Format: Article
Published: 1996
Series:Acta cybernetica 12 No. 3
Kulcsszavak:Számítástechnika, Kibernetika
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Online Access:http://acta.bibl.u-szeged.hu/12557
Description
Summary:In this paper we prove that each recursively enumerable language L can be written in the form L — cutd(L' fl R), where L' is a language generated by a one-sided internal contextual grammar witli context-free choice, R is a regular language, and cutd is the operation which removes the prefix bounded by the special symbol d, which appears exactly once in the strings for which cutd is defined. However, the context-free choice sets are always deterministic linear languages of a very simple form. Similar representations can be obtained using one-sided contextual grammars with finite choice and with erased or with erasing contexts.
Physical Description:217-233
ISSN:0324-721X