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Interpolation properties of superintuitionistic logics

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

inferredcites →https://doi.org/10.1007/bf01463150openalex-snapshot
A lattice of normal modal logics
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Der Interpolationssatz der intuitionistischen Prädikatenlogik
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Pretabular extensions of LewisS4
inferredcites →https://doi.org/10.1007/bf01670006openalex-snapshot
Craig's theorem in superintuitionistic logics and amalgamable varieties of pseudo-boolean algebras
inferredcites →https://doi.org/10.1007/bf01673502openalex-snapshot
Interpolation theorems in modal logics and amalgamable varieties of topological Boolean algebras
inferredcites →https://doi.org/10.1007/bf01877235openalex-snapshot
The principle of separation of variables in propositional logics
inferredcites →https://doi.org/10.1007/bfb0059541openalex-snapshot
Craig's interpolation theorem for modal logics
inferredcites →https://doi.org/10.1016/s0049-237x(08)71239-4openalex-snapshot
Semantic Proof of The Craig Interpolation Theorem for Intuitionistic Logic and Extensions. Part I
inferredcites →https://doi.org/10.1016/s0049-237x(08)71957-8openalex-snapshot
Interpolation Theorem for Some Modal Logics
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Introduction to Model Theory and to the Metamathematics of Algebra
inferredcites →https://doi.org/10.15083/00039867openalex-snapshot
On intermediate logics I
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Some theorems about the sentential calculi of Lewis and Heyting
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Abraham Robinson. Introduction to model theory and to the metamathematics of algebra. Studies in logic and the foundations of mathematics. North-Holland Publishing Company, Amsterdam1963, IX + 284 pp.
inferredcites →https://doi.org/10.2307/2272129openalex-snapshot
Craig interpolation theorem for intuitionistic logic and extensions Part III
inferredcites →https://doi.org/10.2307/2963594openalex-snapshot
Three uses of the Herbrand-Gentzen theorem in relating model theory and proof theory
inferredcites →https://doi.org/10.4467/20842589rmopenalex-snapshot
Reports on Mathematical Logic

What points at this work

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

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An Analytic Representation of the Semantics of First-Order S5
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First-Order Interpolation of Non-classical Logics Derived from Propositional Interpolation
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Characteristic Formulas Over Intermediate Logics
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The disjunction property of intermediate propositional logics
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Algebraization of quantifier logics, an introductory overview
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On variable separation in modal and superintuitionistic logics
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Craig's interpolation theorem for the intuitionistic logic and its extensions—A semantical approach
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A cut-free gentzen-type system for the logic of the weak law of excluded middle
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Superintuitionistic logics and the projective beth property
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Proof analysis in intermediate logics
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Ten problems in Gödel logic
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Definability and Interpolation in Non-Classical Logics
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Algebraization, Parametrized Local Deduction Theorem and Interpolation for Substructural Logics over FL
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Interconnection of the Lattices of Extensions of Four Logics
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Interpolation and Beth’s property in propositional many-valued logics: A semantic investigation
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Proof-theoretic methods in quantifier-free definability
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2013.11.019openalex-snapshot
Amalgamation and interpolation in ordered algebras
inferred← citeshttps://doi.org/10.1016/j.tcs.2020.07.043openalex-snapshot
First-order interpolation derived from propositional interpolation
inferred← citeshttps://doi.org/10.1016/s0049-237x(07)80016-4openalex-snapshot
Semisimplicity
inferred← citeshttps://doi.org/10.1016/s0049-237x(13)70005-3openalex-snapshot
Bibliography
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Interpolation theorems for intuitionistic predicate logic
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Intuitionistic logic and implicit definability
inferred← citeshttps://doi.org/10.1017/9781316755860.008openalex-snapshot
Interpolation in goal-directed proof systems 1
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Proof Analysis
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Definability in Normal Extensions of S4
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Why does Halldén‐completeness matter?
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The Admissible Rules of BD2 and GSc
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A Syntactic Approach to Maksimova's Principle of Variable Separation for Some Substructural Logics
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The undecidability of the disjunction property of propositional logics and other related problems
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Cut-elimination for provability logics and some results in display logic
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Proving, Refuting, Improving—Looking for a Theorem
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Interrelation of algebraic, semantical and logical properties for superintuitionistic and modal logics
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