Faculty of Information Technology, BUT

Publication Details

Nonterminal Complexity of One-Sided Random Context Grammars

MEDUNA Alexander and ZEMEK Petr. Nonterminal Complexity of One-Sided Random Context Grammars. Acta Informatica, vol. 49, no. 2, pp. 55-68. ISSN 0001-5903. Available from: http://www.springerlink.com/content/5822041380786746/
Czech title
Neterminální složitost jednostranných gramatik s nahodilým kontextem
Type
journal article
Language
english
Authors
URL
Keywords
Formal languages, nonterminal complexity, one-sided random context grammars, random context nonterminals
Abstract
In the present paper, we study the nonterminal complexity of one-sided random context grammars. More specifically, we prove that every recursively enumerable language can be generated by a one-sided random context grammar with no more than ten nonterminals. An analogical result holds for thirteen nonterminals in terms of these grammars with the set of left random context rules coinciding with the set of right random context rules. Furthermore, we introduce the notion of a right random context nonterminal, defined as a nonterminal that appears on the left-hand side of a right random context rule. We demonstrate how to convert any one-sided random context grammar G to an equivalent one-sided random context grammar H with two right random context nonterminals. An analogical conversion is given in terms of (1) propagating one-sided random context grammars and (2) left random context nonterminals. In the conclusion, two open problems are stated.
Published
2012
Pages
55-68
Journal
Acta Informatica, vol. 49, no. 2, ISSN 0001-5903
Publisher
Springer Verlag
DOI
BibTeX
@ARTICLE{FITPUB9714,
   author = "Alexander Meduna and Petr Zemek",
   title = "Nonterminal Complexity of One-Sided Random Context Grammars",
   pages = "55--68",
   journal = "Acta Informatica",
   volume = 49,
   number = 2,
   year = 2012,
   ISSN = "0001-5903",
   doi = "10.1007/s00236-012-0150-6",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/9714"
}
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