Löwenheim–Skolem theorems for non-classical first-order algebraizable logics: Table 1 (original) (raw)

Contributions to the Model Theory for Non-Classical Logics

I. Dahn

Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 1974

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On the search for a finitizable algebraization of first order logic

Ildikó Sain

Logic Journal of IGPL, 2000

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A definability theorem for first order logic

Carsten Butz

1997

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Definability and automorphisms in abstract logics

Xavier Caicedo

Archive for Mathematical Logic, 2004

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Concerning some cylindric algebra versions of the downward Löwenheim-Skolem theorem

Ildikó Sain

Notre Dame Journal of Formal Logic, 1988

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On Löwenheim–Skolem–Tarski Numbers for Extensions of First Order Logic

Menachem Magidor

Journal of Mathematical Logic, 2011

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Finite schematizable algebraic logic

Ildikó Sain

Logic Journal of IGPL, 1997

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Chapter 3: Applications to Protoalgebraic and Algebraizable Logics

Ramon Jansana

2009

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On Elementary Equivalence for Equality-free Logic

Ramon Jansana

Notre Dame Journal of Formal Logic, 1996

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Chapter 5: Applications to Particular Sentential Logics

Ramon Jansana

2009

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On orderings of the family of all logics

Jouko Väänänen

Archive for Mathematical Logic, 1980

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Chapter 1: Generalities on Abstract Logics and Sentential Logics

Ramon Jansana

2009

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A note of the full generalized models of the extensions of a logic

Ramon Jansana

Reports on Mathematical Logic

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On universal algebraic constructions of logics

Hajnal Andréka

Studia Logica, 1977

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A fundamental non-classical logic

Wesley Holliday

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Preservation theorems for strong first-order logics

christian espindola

arXiv (Cornell University), 2019

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Algebraizable logics and a functorial encoding of its morphisms

Luiz Mariano

Logic Journal of the IGPL, 2017

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A Hierarchy of Classical and Paraconsistent Logics

Damian Szmuc, Federico Pailos, Eduardo Barrio

2019

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Inner models from extended logics: Part 1

Jouko Väänänen

Journal of Mathematical Logic, 2020

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Chapter XVII: Set-Theoretic Definability of Logics

Jouko Väänänen

1985

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On Algebraization of Classical First Order Logic

Kahtan Alzubaidy

2014

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Intermediate predicate logics determined by ordinals

Hiroakira Ono

Journal of Symbolic Logic, 1990

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Skolemization in intermediate logics with the finite model property

Rosalie Iemhoff

Logic Journal of IGPL, 2016

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Non-finite-axiomatizability results in algebraic logic

Balazs Biro

Journal of Symbolic Logic, 1992

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A de nability theorem for rst order logic

Carsten Butz

1997

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Towards an hyperalgebraic theory of non-algebraizable logics

Marcelo Esteban Coniglio, Ana Claudia Golzio

CLE e-Prints, Vol. 16 N. 4, 2016

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First-order logics: some characterizations and closure properties

Carlo Mereghetti

Acta Informatica, 2012

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Some results on the intermediate logics

Hiroakira Ono

Publications of the Research Institute for Mathematical Sciences, 1972

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Realizability in classical logic

Jean-Louis Krivine

2007

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First-order theories as many-sorted algebras

Vincenzo Manca

Notre Dame Journal of Formal Logic, 1984

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Computational isomorphisms in classical logic (Extended Abstract)

Harold Schellinx

1996

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Model Theory and Proof Theory of Coalgebraic Predicate Logic

Tadeusz Litak, Lutz Schröder, Katsuhiko Sano

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