Two-way metalinear PC grammar systems and their descriptional complexity

Meduna, Alexander: Two-way metalinear PC grammar systems and their descriptional complexity. In: Acta cybernetica, (16) 3. pp. 385-397. (2004)

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Abstract

Besides a derivation step and a communication step, a two-way PC grammar system can make a reduction step during which it reduces the right-hand side of a context-free production to its left-hand side. This paper proves that every non-unary recursively enumerable language is defined by a centralized two-way grammar system, ┌, with two metalinear components in a very economical way. Indeed, ┌'s master has only three nonterminals and one communication production; furthermore, it produces all sentential forms with no more than two occurrences of nonterminals. In addition, during every computation, ┌ makes a single communication step. Some variants of two-way PC grammar systems are discussed in the conclusion of this paper.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2004
Volume: 16
Number: 3
ISSN: 0324-721X
Page Range: pp. 385-397
Language: angol
Related URLs: http://acta.bibl.u-szeged.hu/38517/
Uncontrolled Keywords: Természettudomány
Additional Information: Bibliogr.: p. 396-397.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2021. Mar. 24. 14:45
URI: http://acta.bibl.u-szeged.hu/id/eprint/12729

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