Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 3, Pages 10–14 (Mi vmumm679)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The length of joins in Lambek calculus

A. A. Sorokin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (260 kB) Citations (1)
Abstract: In 1992, M. Pentus established a criterion for the existence of a type $C$ such that for given types $A$ and $B$ the sequents $A\to C$ and $B\to C$ are derivable in the Lambek calculus. In this paper we give an algorithm for construction of such a type $C$ (provided it exists) and prove a quadratic upper bound for its length.
Key words: Lambek calculus, free group interpretation, conjoinability, join.
Received: 28.04.2010
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 3, Pages 101–104
DOI: https://doi.org/10.3103/S0027132211030028
Bibliographic databases:
Document Type: Article
UDC: 510.649
Language: Russian
Citation: A. A. Sorokin, “The length of joins in Lambek calculus”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 3, 10–14; Moscow University Mathematics Bulletin, 66:3 (2011), 101–104
Citation in format AMSBIB
\Bibitem{Sor11}
\by A.~A.~Sorokin
\paper The length of joins in Lambek calculus
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 3
\pages 10--14
\mathnet{http://mi.mathnet.ru/vmumm679}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918860}
\zmath{https://zbmath.org/?q=an:1304.03056}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 3
\pages 101--104
\crossref{https://doi.org/10.3103/S0027132211030028}
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    • This publication is cited in the following 1 articles:
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