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Publication Details

One-Sided Random Context Grammars

MEDUNA Alexander and ZEMEK Petr. One-Sided Random Context Grammars. Acta Informatica, vol. 48, no. 3, pp. 149-163. ISSN 0001-5903. Available from: http://www.springerlink.com/content/c70163w7764u8660/
Czech title
Jednostranné gramatiky s nahodilým kontextem
Type
journal article
Language
english
Authors
URL
Keywords
Regulated rewriting, random context grammars, one-sided variants, generative power, language families
Abstract
The notion of a one-sided random context grammar is defined as a context-free-based regulated grammar, in which a set of permitting symbols and a set of forbidding symbols are attached to every rule, and its set of rules is divided into the set of left random context rules and the set of right random context rules. A left random context rule can rewrite a nonterminal if each of its permitting symbols occurs to the left of the rewritten symbol in the current sentential form while each of its forbidding symbols does not occur there. A right random context rule is applied analogically except that the symbols are examined to the right of the rewritten symbol.

The paper demonstrates that without erasing rules, one-sided random context grammars characterize the family of context-sensitive languages, and with erasing rules, these grammars characterize the family of recursively enumerable languages. In fact, these characterization results hold even if the set of left random context rules coincides with the set of right random context rules. Several special cases of these grammars are considered, and their generative power is established. In its conclusion, some important open problems are suggested to study in the future.
Published
2011
Pages
149-163
Journal
Acta Informatica, vol. 48, no. 3, ISSN 0001-5903
Publisher
Springer Verlag
DOI
BibTeX
@ARTICLE{FITPUB9472,
   author = "Alexander Meduna and Petr Zemek",
   title = "One-Sided Random Context Grammars",
   pages = "149--163",
   journal = "Acta Informatica",
   volume = 48,
   number = 3,
   year = 2011,
   ISSN = "0001-5903",
   doi = "10.1007/s00236-011-0134-y",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/9472"
}
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