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One-Sided Forbidding Grammars and Selective Substitution Grammars

MEDUNA Alexander and ZEMEK Petr. One-Sided Forbidding Grammars and Selective Substitution Grammars. International Journal of Computer Mathematics, vol. 89, no. 5, pp. 586-596. ISSN 0020-7160. Available from: http://www.tandfonline.com/doi/abs/10.1080/00207160.2011.642300
Czech title
Jednostranné zakazující gramatiky a selektivní gramatiky
Type
journal article
Language
english
Authors
URL
Keywords
Formal language theory, regulated rewriting, one-sided forbidding grammars, selective substitution grammars, generative power
Abstract
In one-sided forbidding grammars, the set of rules is divided into the set of left forbidding rules and the set of right forbidding rules. A left forbidding rule can rewrite a nonterminal if each of its forbidding symbols is absent to the left of the rewritten symbol in the current sentential form while a right forbidding rule is applied analogically except that this absence is verified to the right. Apart from this, they work like ordinary forbidding grammars.

As its main result, the present paper proves that one-sided forbidding grammars are equivalent to selective substitution grammars. This equivalence is established in terms of grammars with and without erasing rules. Furthermore, the paper proves that one-sided forbidding grammars in which the set of left forbidding rules coincides with the set of right forbidding rules characterize the family of context-free languages. In the conclusion, the significance of the achieved results is discussed.

Published
2012
Pages
586-596
Journal
International Journal of Computer Mathematics, vol. 89, no. 5, ISSN 0020-7160
DOI
BibTeX
@ARTICLE{FITPUB9716,
   author = "Alexander Meduna and Petr Zemek",
   title = "One-Sided Forbidding Grammars and Selective Substitution Grammars",
   pages = "586--596",
   journal = "International Journal of Computer Mathematics",
   volume = 89,
   number = 5,
   year = 2012,
   ISSN = "0020-7160",
   doi = "10.1080/00207160.2011.642300",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/9716"
}
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