Journal article

MEDUNA Alexander and ZEMEK Petr. Generalized One-Sided Forbidding Grammars. International Journal of Computer Mathematics. 2013, vol. 90, no. 2, pp. 172-182. ISSN 0020-7160. Available from: http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.723703
Publication language:english
Original title:Generalized One-Sided Forbidding Grammars
Title (cs):Zobecněné jednostranné zakazující gramatiky
Pages:172-182
Place:GB
Year:2013
URL:http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.723703
Journal:International Journal of Computer Mathematics, Vol. 90, No. 2, GB
ISSN:0020-7160
Keywords
formal languages, regulated rewriting, generalized one-sided forbidding grammars, language families, generative power
Annotation
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.

BibTeX:
@ARTICLE{
   author = {Alexander Meduna and Petr Zemek},
   title = {Generalized One-Sided Forbidding Grammars},
   pages = {172--182},
   journal = {International Journal of Computer Mathematics},
   volume = {90},
   number = {2},
   year = {2013},
   ISSN = {0020-7160},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso-8859-2?id=9842}
}

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