Publication Details

Two-Way Linear PC Grammar Systems and Their Descriptional Complexity

KALÁB Petr. Two-Way Linear PC Grammar Systems and Their Descriptional Complexity. In: Proceedings of the 11th Conference Student EEICT 2005. Volume 3. Brno: Publishing house of Brno University of Technology VUTIUM, 2005, pp. 546-550. ISBN 80-214-2890-2.
Czech title
Dvousměrné lineární PC gramatické systémy a jejich popisná složitost
Type
conference paper
Language
english
Authors
Kaláb Petr, Ing. (DIFS FIT BUT)
Keywords

Context-free grammar, left-linear grammar, right-linear grammar, grammar system, communication step, two-way PC grammar systems, derivation, production, sentential form, nonterminal, terminal

Abstract

Besides derivation and communication steps, 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, Γ, with five components in a very economical way. Indeed, Γ'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, Γ makes a single communication step.

Published
2005
Pages
546-550
Proceedings
Proceedings of the 11th Conference Student EEICT 2005
Series
Volume 3
Conference
STUDENT EEICT 2005, Brno, CZ
ISBN
80-214-2890-2
Publisher
Publishing house of Brno University of Technology VUTIUM
Place
Brno, CZ
BibTeX 
@INPROCEEDINGS{FITPUB7773,
   author = "Petr Kal\'{a}b",
   title = "Two-Way Linear PC Grammar Systems and Their Descriptional Complexity",
   pages = "546--550",
   booktitle = "Proceedings of the 11th Conference Student EEICT 2005",
   series = "Volume 3",
   year = 2005,
   location = "Brno, CZ",
   publisher = "Publishing house of Brno University of Technology VUTIUM",
   ISBN = "80-214-2890-2",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/7773"
}
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