Publication Details

One-Sided Random Context Grammars with Leftmost Derivations

MEDUNA, A.; ZEMEK, P. One-Sided Random Context Grammars with Leftmost Derivations. In LNCS Festschrift Series: Languages Alive - Essays Dedicated to Jürgen Dassow on the Occasion of His 65th Birthday. Berlin-Heidelberg: Springer Verlag, 2012. p. 160-173. ISBN: 978-3-642-31643-2.
Czech title
Jednostranné gramatiky s nahodilým kontextem s levými derivacemi
Type
book chapter
Language
English
Authors
Meduna Alexandr, prof. RNDr., CSc. (DIFS)
Zemek Petr, Ing., Ph.D.
URL
Keywords

formal languages, regulated rewriting, one-sided random context grammars, leftmost derivations, generative power

Abstract

In this paper, we study the generative power of one-sided random context grammars working in a leftmost way. More specifically, by analogy with the three well-known types of leftmost derivations in regulated grammars, we introduce three types of leftmost derivations to one-sided random context grammars and prove the following three results. (I) One-sided random context grammars with type-1 leftmost derivations characterize the family of context-free languages. (II) One-sided random context grammars with type-2 and type-3 leftmost derivations characterize the family of recursively enumerable languages. (III) Propagating one-sided random context grammars with type-2 and type-3 leftmost derivations characterize the family of context-sensitive languages. In the conclusion, the generative power of random context grammars and one-sided random context grammars with leftmost derivations is compared.

Published
2012
Pages
160–173
Book
LNCS Festschrift Series: Languages Alive - Essays Dedicated to Jürgen Dassow on the Occasion of His 65th Birthday
ISBN
978-3-642-31643-2
Publisher
Springer Verlag
Place
Berlin-Heidelberg
DOI
10.1007/978-3-642-31644-9_11
EID Scopus
2-s2.0-84867018824
BibTeX 
@inbook{BUT96922,
  author="Alexandr {Meduna} and Petr {Zemek}",
  title="One-Sided Random Context Grammars with Leftmost Derivations",
  booktitle="LNCS Festschrift Series: Languages Alive - Essays Dedicated to Jürgen Dassow on the Occasion of His 65th Birthday",
  year="2012",
  publisher="Springer Verlag",
  address="Berlin-Heidelberg",
  pages="160--173",
  doi="10.1007/978-3-642-31644-9\{_}11",
  isbn="978-3-642-31643-2",
  url="https://www.scopus.com/record/display.uri?eid=2-s2.0-84867018824&origin=resultslist"
}
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