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Relational Models for the Lambek Calculus with Intersection and Unit
International Conference on Relational and Algebraic Methods in Computer Science, 2021S. Kuznetsov
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Classical Conservative Extensions of Lambek Calculus
Studia Logica, 2002The paper concerns the Lambek Calculus (LC) and its extensions. The pure Lambek Calculus, which is LC without additive constants, is also distinguished. Two systems are considered: Noncommutative Multiplicative-Additive Linear Logic (NMALL), introduced by the author (in 1991), and Cyclic Multiplicative-Additive Linear Logic (CyMALL), introduced by ...
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Relational Semantics for the Lambek-Grishin Calculus
2010We study ternary relational semantics for LG: a symmetric version of the Lambek calculus with interaction principles due to Grishin [10]. We obtain completeness on the basis of a Henkin-style weak filter construction.
Kurtonina, N., Moortgat, M.J.
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A Restricted Fragment of the Lambek Calculus with Iteration and Intersection Operations
Algebra i logika, 2020S. Kuznetsov, N. S. Ryzhkova
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Lambek calculus with restricted contraction and expansion
Studia Logica, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Agda Formalization of Nonassociative Lambek Calculus and its Metatheory
International Conference on Theorem Proving with Analytic Tableaux and Related MethodsNiccolò Veltri, Cheng-Syuan Wan
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Language models for some extensions of the Lambek calculus
Information and Computation, 2022Max Kanovich +2 more
exaly
Conjoinability in 1-Discontinuous Lambek Calculus
2014In the present work we prove a conjoinability criterion for 1-discontinuous Lambek calculus. It turns out that types of this calculus are conjoinable if and only if they have the same sort and the same interpretation in the free abelian group generated by the primitive types.
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