Publication Details

Generalized One-Sided Forbidding Grammars

MEDUNA, A.; ZEMEK, P. Generalized One-Sided Forbidding Grammars. International Journal of Computer Mathematics, 2013, vol. 90, no. 2, p. 172-182. ISSN: 0020-7160.
Czech title
Zobecněné jednostranné zakazující gramatiky
Type
journal article
Language
English
Authors
Meduna Alexandr, prof. RNDr., CSc. (DIFS)
Zemek Petr, Ing., Ph.D.
URL
Keywords

formal languages, regulated rewriting, generalized one-sided forbidding grammars,
language families, generative power

Abstract

In generalized one-sided forbidding grammars (GOFGs), each context-free rule has
associated a finite set of forbidding strings, and the set of rules is divided
into the sets of left and right forbidding rules. A left forbidding rule can
rewrite a nonterminal if each of its forbidding strings is absent to the left of
the rewritten symbol. A right forbidding rule is applied analogically. Apart from
this, they work like any generalized forbidding grammar. This paper proves the
following three results. (1) GOFGs where each forbidding string consists of at
most two symbols characterize the family of recursively enumerable languages. (2)
GOFGs where the rules in one of the two sets of rules contain only ordinary
context-free rules without any forbidding strings characterize the family of
context-free languages. (3) GOFGs with the set of left forbidding rules
coinciding with the set of right forbidding rules characterize the family of
context-free languages.

Published
2013
Pages
172–182
Journal
International Journal of Computer Mathematics, vol. 90, no. 2, ISSN 0020-7160
DOI
10.1080/00207160.2012.723703
BibTeX 
@article{BUT103403,
  author="Alexandr {Meduna} and Petr {Zemek}",
  title="Generalized One-Sided Forbidding Grammars",
  journal="International Journal of Computer Mathematics",
  year="2013",
  volume="90",
  number="2",
  pages="172--182",
  doi="10.1080/00207160.2012.723703",
  issn="0020-7160",
  url="http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.723703"
}
Back to top