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Lecture Notes in Comput. Sci., 2012, Volume 7395, Pages 262–266 (Mi lncs13)  

Lambek grammars with the unit

S. Kuznetsov

Department of Mathematical Logic and Theory of Algorithms, Faculty of Mechanics and Mathematics, Moscow State University

Abstract: Pentus’ theorem states that any language generated by a Lambek grammar is context-free. We present a substitution that reduces the Lambek calculus enriched with the unit constant to the variant of the Lambek calculus that does not contain the unit (but still allows empty premises), and use this substitution to prove that any language generated by a categorial grammar based on the Lambek calculus with the unit is context-free.

Funding Agency Grant Number
Russian Foundation for Basic Research 08- 01-00399
Ministry of Education and Science of the Russian Federation NSh-65648.2010.1
Swiss Federal Council STCP-CH-RU
This work was supported by the Russian Foundation for Basic Research [08-01-00399], by the Presidential Council for Support of Leading Scientific Schools [NSh-65648.2010.1], and by the Scientific and Technological Cooperation Programme Switzerland–Russia [STCP-CH-RU].


DOI: https://doi.org/10.1007/978-3-642-32024-8_17


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Document Type: Article
Language: English

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