The Theory Of Definability Part Two
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The Theory Of Definability Part Two
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Author : John West Addison
language : en
Publisher:
Release Date : 1964
The Theory Of Definability Part Two written by John West Addison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Definability theory (Mathematical logic) categories.
Axiomatic Set Theory Part 2
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Author : Thomas J. Jech
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Axiomatic Set Theory Part 2 written by Thomas J. Jech and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Axiomatic set theory categories.
The Theory Of Definability In Applied Predicate Languages For Number Theory
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Author : Guy Meriwether Benson
language : en
Publisher:
Release Date : 1966
The Theory Of Definability In Applied Predicate Languages For Number Theory written by Guy Meriwether Benson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Logic, Symbolic and mathematical categories.
Duality And Definability In First Order Logic
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Author : Michael Makkai
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Duality And Definability In First Order Logic written by Michael Makkai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
We develop a duality theory for small Boolean pretoposes in which the dual of the [italic capital]T is the groupoid of models of a Boolean pretopos [italic capital]T equipped with additional structure derived from ultraproducts. The duality theorem states that any small Boolean pretopos is canonically equivalent to its double dual. We use a strong version of the duality theorem to prove the so-called descent theorem for Boolean pretoposes which says that category of descent data derived from a conservative pretopos morphism between Boolean pretoposes is canonically equivalent to the domain-pretopos. The descent theorem contains the Beth definability theorem for classical first order logic. Moreover, it gives, via the standard translation from the language of categories to symbolic logic, a new definability theorem for classical first order logic concerning set-valued functors on models, expressible in purely syntactical (arithmetical) terms.
Admissible Sets And Structures
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Author : Jon Barwise
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Admissible Sets And Structures written by Jon Barwise and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
This volume makes the basic facts about admissible sets accessible to logic students and specialists alike.
Recursion Theory
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Author : Chi Tat Chong
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-17
Recursion Theory written by Chi Tat Chong and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with Mathematics categories.
This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
On The Theory Of Definability In First Order Logic
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Author : Veikko Rantala
language : fi
Publisher:
Release Date : 1973
On The Theory Of Definability In First Order Logic written by Veikko Rantala and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
The Theory Of Models
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Author : J.W. Addison
language : en
Publisher: Elsevier
Release Date : 2014-05-27
The Theory Of Models written by J.W. Addison and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Mathematics categories.
Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.
Provability Computability And Reflection
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Provability Computability And Reflection written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Computers categories.
Provability, Computability and Reflection
Definability And Computability
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Author : I︠U︡riĭ Leonidovich Ershov
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-04-30
Definability And Computability written by I︠U︡riĭ Leonidovich Ershov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-30 with Mathematics categories.
In this book, Yurii L. Ershov posits the view that computability-in the broadest sense-can be regarded as the Sigma-definability in the suitable sets. He presents a new approach to providing the Gödel incompleteness theorem based on systematic use of the formulas with the restricted quantifiers. The volume also includes a novel exposition on the foundations of the theory of admissible sets with urelements, using the Gandy theorem throughout the theory's development. Other topics discussed are forcing, Sigma-definability, dynamic logic, and Sigma-predicates of finite types.