Harmonious logic: Craig's interpolation theorem and its descendants (original) (raw)

A Note on the Interpolation Theorem in First Order Logic

George Weaver

Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 1982

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L O ] 1 0 A ug 2 01 8 Interpolation in extensions of first-order logic

eugenio orlandelli

2018

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Interpolation in Extensions of First-Order Logic

eugenio orlandelli

Studia Logica

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The Craig Interpolation Theorem in abstract model theory

Jouko Väänänen

Synthese, 2008

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A refinement of the Craig-Lyndon Interpolation Theorem for classical first-order logic (with identity)

Peter Milne

Logique Et Analyse, 2017

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The Modelwise Interpolation Property of Semantic Logics

Övge Öztürk, Zalan Gyenis

Bulletin of the Section of Logic

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Craig's interpolation theorem for the intuitionistic logic and its extensions—A semantical approach

Hiroakira Ono

Studia Logica, 1986

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On weak and strong interpolation in algebraic logics

Gabor Sagi

The Journal of Symbolic Logic, 2006

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Failures of the Interpolation Lemma in Quantified Modal Logic

Guilherme Messias Pereira Lima

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The Relevant Fragment of First Order Logic [The Review of Symbolic Logic]

Guillermo Badia

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Craig's Interpolation Theorem for the Intuitionistic Logic of Constant Domains

Herman R Jervell

1971

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Preservation theorems for strong first-order logics

christian espindola

arXiv (Cornell University), 2019

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Failure of interpolation in relevant logics

Alasdair Urquhart

Journal of Philosophical Logic, Vol. 22, 449-479, 1993

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First-order logics: some characterizations and closure properties

Carlo Mereghetti

Acta Informatica, 2012

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Interpolation Properties, Beth Definability Properties and Amalgamation Properties for Substructural Logics

Hiroakira Ono

Journal of Logic and Computation, 2009

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On PPP-Interpolation in Local Theory Extensions and Applications to the Study of Interpolation in the Description Logics calEL,calEL+{\cal EL}, {\cal EL}^+calEL,calEL+

Viorica Sofronie-Stokkermans

arXiv (Cornell University), 2023

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Residuated Basic Logic II. Interpolation, Decidability and Embedding

Minghui Ma

2014

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Back and Forth Constructions in Modal Logic: An Interpolation Theorem for a Family of Modal Logics

Jeffrey Welaish

Journal of Symbolic Logic, 1986

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On Interpolation and Symbol Elimination in Theory Extensions

Viorica Sofronie-Stokkermans

Lecture Notes in Computer Science, 2016

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The Craig interpolation theorem for prepositional logics with strong negation

Valentin Goranko

Studia Logica, 1985

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Generalized interpolation and definability

David Kueker

Annals of Mathematical Logic, 1970

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Living Without Beth and Craig: Explicit Definitions and Interpolants in Description Logics with Nominals. (arXiv:2007.02736v2 [cs.LO] UPDATED)

Ana Ozaki

arXiv Computer Science, 2020

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LF: a foundational higher order logic

Juhani Yli-Vakkuri

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On Preservation Theorems for Two-Variable Logic

Erich Grädel

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Extensions of First-Order Logic, Maria Manzano

Hans Ohlbach

Journal of Logic, Language and Information - JOLLI, 1998

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A definability theorem for first order logic

Carsten Butz

1997

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On the Way to a Wider Model Theory: Completeness Theorems for First-Order Logics of Formal Inconsistency

Marcelo Esteban Coniglio

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Sentential logics and Maehara Interpolation Property

Janusz Czelakowski

Studia Logica, 1985

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Compactness theorems for finitely-many-valued sentenial logics

George Weaver

Studia Logica, 1978

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Beth's definability theorem in relevant logics

Alasdair Urquhart

"Logic at Work" ed. Ewa Orlowska, pp. 229-234, 1999

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Interpolation Property on Visser's Formal Propositional Logic

Majid Alizadeh

Bulletin of the Section of Logic

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From Strong Amalgamability to Modularity of Quantifier-Free Interpolation

Silvio Ghilardi

arXiv (Cornell University), 2012

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A Note on the Compactness Theorem in First Order Logic

George Weaver

Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 1980

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Interpolation and Beth Definability in Default Logics

CARLOS EDUARDO ARECES

Lecture Notes in Computer Science, 2019

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Constructive interpolation in hybrid logic

Patrick Blackburn

2003

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