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Lambek Calculus and its relational semantics: Completeness and incompleteness

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/malq.19860320104openalex-snapshot
Completeness Results for Lambek Syntactic Calculus
inferredcites →https://doi.org/10.1002/malq.19920380113openalex-snapshot
A BRIEF SURVEY OF FRAMES FOR THE LAMBEK CALCULUS
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Dyadic Modalities and Lambek Calculus
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Language in action
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Algebraization of quantifier logics, an introductory overview
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Representations of distributive lattice-ordered semigroups with binary relations
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Relation algebras as residuated Boolean algebras
inferredcites →https://doi.org/10.1007/bf01200494openalex-snapshot
Adjoining units to residuated Boolean algebras
inferredcites →https://doi.org/10.1007/bfb0043079openalex-snapshot
Dynamic algebras as a well-behaved fragment of relation algebras
inferredcites →https://doi.org/10.1007/bfb0043086openalex-snapshot
Beth's and Craig's properties via epimorphisms and amalgamation in algebraic logic
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Relations and non-commutative linear logic
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On the strength of temporal proofs
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Semantic Parallels in Natural Language and Computation
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Cylindric Algebras Part II
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The Mathematics of Sentence Structure
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Leon Henkin, J. Donald Monk, and Alfred Tarski. Cylindric algebras. Part II. Studies in logic and the foundations of mathematics, vol. 115. North-Holland, Amsterdam, New York, and Oxford, 1985, ix + 302 pp.
inferredcites →https://doi.org/10.4064/cm-39-1-1-12openalex-snapshot
Representations of ordered semigroups and lattices by binary relations
inferredcites →https://doi.org/10.7146/dpb.v20i372.6604openalex-snapshot
Relations and Non-commutative Linear Logic
inferredcites →https://doi.org/10.7551/mitpress/4286.003.0004openalex-snapshot
A Note on Dynamic Arrow Logic
inferredcites →https://doi.org/10.7551/mitpress/4286.003.0011openalex-snapshot
A Roadmap of Some Two-Dimensional Logics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Powerset Residuated Algebras and Generalized Lambek Calculus
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A Labelled Deductive System for Relational Semantics of the Lambek Calculus
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Using Tableaux to Automate the Lambek and Other Categorial Calculi
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On the Complexity of the Equational Theory of Relational Action Algebras
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Relational Models for the Lambek Calculus with Intersection and Unit
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Reducts of Relation Algebras: The Aspects of Axiomatisability and Finite Representability
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Complexity of the Lambek Calculus and Its Extensions
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A Survey on Language Completeness of the Lambek Calculus and Its Extensions
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Complexity of Equational Theories for Relational and Language Action Lattices
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Relational Models of Lambek Logics
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L-Models and R-Models for Lambek Calculus Enriched with Additives and the Multiplicative Unit
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Relations Old and New
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Relational Models for the Nonassociative Lambek Calculus
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Categorial Grammar at a Cross-Roads
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Proofs, Labels and Dynamics in Natural Language
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Modal Logics of Arrows
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Algebraic Logic
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Binary Relations in the Social and Mathematical Sciences
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Type Logics in Grammar
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On the completeness of the Lambek Calculus with respect to relativized Relational Semantics
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Representation theorems for residuated groupoids
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Axiomatizability of positive algebras of binary relations
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Axiomatizability of reducts of algebras of relations
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A Restricted Fragment of the Lambek Calculus with Iteration and Intersection Operations
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Versions of a Local Contraction Subexponential in the Lambek Calculus
inferred← citeshttps://doi.org/10.1007/s10485-022-09699-5openalex-snapshot
Unitless Frobenius Quantales
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Language-Theoretic and Finite Relation Models for the (Full) Lambek Calculus
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Lower Semilattice-Ordered Residuated Semigroups and Substructural Logics
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The equational theories of representable residuated semigroups
inferred← citeshttps://doi.org/10.1016/0168-0072(94)00063-9openalex-snapshot
Models for the Lambek calculus
inferred← citeshttps://doi.org/10.1016/b978-0-444-53726-3.00002-5openalex-snapshot
Categorial Type Logics
inferred← citeshttps://doi.org/10.1016/b978-044481714-3/50005-9openalex-snapshot
Categorial Type Logics
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Mathematical Linguistics and Proof Theory
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The categorical imperative: Category theory as a foundation for deontic logic
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Complexity of equations valid in algebras of relations part II: Finite axiomatizations
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POSITIVE FRAGMENTS OF RELEVANCE LOGIC AND ALGEBRAS OF BINARY RELATIONS
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COMPLEXITY OF THE INFINITARY LAMBEK CALCULUS WITH KLEENE STAR
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Editorial Introduction
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