Publication Details

Tree-controlled Grammars with Restrictions Placed upon Cuts and Paths

KOUTNÝ, J.; MEDUNA, A. Tree-controlled Grammars with Restrictions Placed upon Cuts and Paths. Kybernetika, 2012, vol. 48, no. 1, p. 165-175. ISSN: 0023-5954.

Czech title

Stomem řízené gramatiky s omezeními na řezy a cesty

Type

journal article

Language

English

Authors

Koutný Jiří, Ing., Ph.D.
Meduna Alexandr, prof. RNDr., CSc. (DIFS)

URL

http://www.kybernetika.cz/content/2012/1/165

Keywords

context-free grammars, tree-controlled grammars, restricted derivation trees, paths, cuts, language families

Abstract

First, this paper discusses tree-controlled grammars with root-to-leaf derivation-tree paths restricted by control languages. It demonstrates that if the control languages are regular, these grammars generate the family of context-free languages. Then, in a similar way, the paper introduces tree-controlled grammars with derivation-tree cuts restricted by control languages. It proves that if the cuts are restricted by regular languages, these grammars generate the family of recursively enumerable languages. In addition, it places a binary-relation-based restriction upon these grammars and demonstrate that this adi- tional restriction does not affect the generative power of these grammars.

Published

2012

Pages

165–175

Journal

Kybernetika, vol. 48, no. 1, ISSN 0023-5954

EID Scopus

2-s2.0-84858040799

BibTeX

@article{BUT91444,
  author="Jiří {Koutný} and Alexandr {Meduna}",
  title="Tree-controlled Grammars with Restrictions Placed upon Cuts and Paths",
  journal="Kybernetika",
  year="2012",
  volume="48",
  number="1",
  pages="165--175",
  issn="0023-5954",
  url="http://www.kybernetika.cz/content/2012/1/165"
}