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  1. Language-Theoretic and Finite Relation Models for the (Full) Lambek Calculus.Christian Wurm - 2017 - Journal of Logic, Language and Information 26 (2):179-214.
    We prove completeness for some language-theoretic models of the full Lambek calculus and its various fragments. First we consider syntactic concepts and syntactic concepts over regular languages, which provide a complete semantics for the full Lambek calculus \. We present a new semantics we call automata-theoretic, which combines languages and relations via closure operators which are based on automaton transitions. We establish the completeness of this semantics for the full Lambek calculus via an isomorphism theorem for the syntactic concepts lattice (...)
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