2010-03-01, English, Article, Journal or magazine article edition: ALGEBRAIC CHARACTERIZATION OF LOGICALLY DEFINED TREE LANGUAGES. Esik, ZoltAN; Weil, Pascal

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Physical Description
  • Magazine/​Journal article
Published
  • World Scientific Publishing Co. Pte Ltd., 2010 March
Language
  • English

Edition details

Title
  • ALGEBRAIC CHARACTERIZATION OF LOGICALLY DEFINED TREE LANGUAGES.
Appears In
  • International Journal of Algebra and Computation, v.20, no.02, 2010 March, p.195 (ISSN: 0218-1967)
Author
  • Esik, ZoltAN
  • Weil, Pascal
Published
  • World Scientific Publishing Co. Pte Ltd., 2010 March
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http:/​/​dx.doi.org/​10.1142/​S0218196710005595 Byline: ZOLTAN ESIK, PASCAL WEIL We give an algebraic characterization of the tree languages that are defined by logical formulas using certain Lindstrom quantifiers. An important instance of our result concerns first-order definable tree languages. Our characterization relies on the usage of preclones, an algebraic structure introduced by the authors in a previous paper, and of the block product operation on preclones. Our results generalize analogous results on finite word languages, but it must be noted that, as they stand, they do not yield an algorithm to decide whether a given regular tree language is first-order definable.
Terms of Use
  • COPYRIGHT 2010 World Scientific Publishing Co. Pte Ltd.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 464504543
  • 10.1142/​S0218196710005595

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