Axiomatizable (original) (raw)

Abstract elementary classes and infinitary logics

David Kueker

Annals of Pure and Applied Logic, 2008

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The elementary theory of the natural lattice is finitely axiomatizable

Patrick Cégielski

Notre Dame Journal of Formal Logic - NDJFL, 1989

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Infinitary logics and abstract elementary classes

Andrés Villaveces

Proceedings of the American Mathematical Society

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A Note on Finiteness in the Predicative Foundations of Arithmetic

Fernando Ferreira

Journal of Philosophical Logic, 1999

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An Arithmetical-like Theory of Hereditarily Finite Sets

jorge Viana

Anais do II Workshop Brasileiro de Lógica (WBL 2021), 2021

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Internal End-Extensions of Peano Arithmetic and a Problem of Gaifman

Larry Manevitz

Journal of the London Mathematical Society, 1976

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Classical mereology is not elementarily axiomatizable

Andrzej Pietruszczak

Logic and Logical Philosophy, 2015

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Degrees of insolubility of extensions of arithmetic by true propositions

Oleg Okunev

Russian Mathematical Surveys, 1988

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A standard model of Peano arithmetic with no conservative elementary extension

Ali Enayat

Annals of Pure and Applied Logic, 2008

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A Note on Induction, Abstraction, and Dedekind-Finiteness

G Aldo Antonelli

2011

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µ-ABSTRACT ELEMENTARY CLASSES AND OTHER GENERALIZATIONS

Jiri Rosicky, Rami Grossberg

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Submodels and definable points in models of Peano arithmetic

Zarko Mijajlovic

Notre Dame Journal of Formal Logic, 1983

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Strong axioms of infinity and elementary embeddings

Robert Solovay

Annals of Mathematical Logic, 1978

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Superstability in abstract elementary classes

Rami Grossberg

2018

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A Decidable Fragment of the Elementary Theory of the Lattice of Recursively Enumerable Sets

Manuel Lerman

Transactions of the American Mathematical Society, 1980

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On Certain Axiomatizations of Arithmetic of Natural and Integer Numbers

Urszula Wybraniec-Skardowska

Axioms

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Expressibility in the elementary theory of recursively enumerable sets with realizability logic

Rein Prank

Algebra and Logic, 1981

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Decidable Fragments of the Simple Theory of Types with Infinity and NF

Thomas Forster

Notre Dame Journal of Formal Logic, 2017

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The elementary theory of the recursively enumerable degrees is not 0-categorical

Manuel Lerman

Advances in Mathematics, 1984

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Completeness theorems, incompleteness theorems and models of arithmetic

Ken McAloon

Transactions of the American Mathematical Society, 1978

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Models and types of Peano's arithmetic

Haim Gaifman

Annals of Mathematical Logic, 1976

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Undefinable classes and definable elements in models of set theory and arithmetic

Ali Enayat

Proceedings of The American Mathematical Society, 1988

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Excellent Abstract Elementary Classes Are Tame

Rami Grossberg

arXiv (Cornell University), 2005

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On end extensions of models of subsystems of peano arithmetic

Costas Dimitrakopoulos

Theoretical Computer Science, 2001

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Decidability of the class of all the rings : A problem of Ax

Jamshid Derakhshan

Forum of Mathematics, Sigma

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Ehrenfeucht-Mostowski models in abstract elementary classes

John Baldwin

Contemporary Mathematics, 2005

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Non-finite-axiomatizability results in algebraic logic

Balazs Biro

Journal of Symbolic Logic, 1992

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Finite Arithmetics

Konrad Zdanowski, Marcin Mostowski

Fundamenta Informaticae

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Categoricity in abstract elementary classes with no maximal models

Andrés Villaveces

Annals of Pure and Applied Logic, 1999

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On decidability and axiomatizability of some ordered structures

Ziba Assadi

Soft Computing

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Some Strongly Undecidable Natural Arithmetical Problems, With An Application to Intuitionistic Theories

Panu Raatikainen

Journal of Symbolic Logic, 2003

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On the Hierarchy of Intuitionistic Bounded Arithmetic

Morteza Moniri

Journal of Logic and Computation, 2007

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Definability, automorphisms, and infinitary languages

David Kueker

Lecture Notes in Mathematics, 1968

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Enumeration Reducibility and Computable Structure Theory

Alexandra Soskova

Computability and Complexity, 2016

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On Certain Extentions of the Arithmetic of Addition of Natural Numbers

Alexey Semenov

Mathematics of the USSR – Izvestia. 15:2, 1980

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