FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 1, PAGES 193-219

Completeness of the Lambek syntactic calculus

M. R. Pentus

Abstract

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In this paper we prove that the Lambek syntactic calculus is complete with respect to free semigroup models, i. e. it derives exactly all identities concerning multiplication, left division, and right division of formal languages.

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