Result 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.
Type
journal article
Language
English
Authors
Meduna Alexandr, prof. RNDr., CSc., DIFS (FIT)
Zemek Petr, Ing., Ph.D., DIFS (FIT)
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.

Keywords

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

URL
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"
}
Projects
Advanced recognition and presentation of multimedia data, BUT, Vnitřní projekty VUT, FIT-S-11-2, start: 2011-01-01, end: 2013-12-31, completed
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Security-Oriented Research in Information Technology, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, start: 2007-01-01, end: 2013-12-31, running
Research groups
Formal Model Research Group (RG FM)
Departments
Department of Information Systems (DIFS)
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