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Lecture Notes in Computer Science, 2012, Volume 7351, Pages 151–160
DOI: https://doi.org/10.1007/978-3-642-31262-5_10
(Mi lncs11)
 

This article is cited in 2 scientific papers (total in 2 papers)

L-completeness of the Lambek calculus with the reversal operation

S. Kuznetsov

Moscow State University
Citations (2)
Abstract: We extend the Lambek calculus with rules for a unary operation corresponding to language reversal and prove that this calculus is complete with respect to the class of models on subsets of free semigroups (L-models). We also prove that categorial grammars based on this calculus generate precisely all context-free languages without the empty word.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00281-a
Ministry of Education and Science of the Russian Federation NSh-65648.2010.1
Swiss Federal Council STCP-CH-RU, project “Computational Proof Theory”
This research was supported by the Russian Foundation for Basic Research (grant 11-01-00281-a), by the Presidential Council for Support of Leading Research Schools (grant NSh-65648.2010.1) and by the Scientific and Technological Cooperation Programme Switzerland–Russia (STCP-CH-RU, project “Computational Proof Theory”).
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Document Type: Article
Language: English
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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