Computability Definability Categoricity And Automorphisms
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Computability Definability Categoricity And Automorphisms
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Author : Russell Geddes Miller
language : en
Publisher:
Release Date : 2000
Computability Definability Categoricity And Automorphisms written by Russell Geddes Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Automorphisms categories.
Computability And Complexity
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Author : Adam Day
language : en
Publisher: Springer
Release Date : 2016-11-30
Computability And Complexity written by Adam Day and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-30 with Computers categories.
This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday. The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.
Definability And Computability
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Author : Yuri L. Ershov
language : en
Publisher: Springer
Release Date : 1996-04-30
Definability And Computability written by Yuri L. Ershov and has been published by Springer 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.
Models And Computability
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Author : S. Barry Cooper
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-17
Models And Computability written by S. Barry Cooper 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 1999-06-17 with Computers categories.
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
Structure And Randomness In Computability And Set Theory
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Author : Douglas Cenzer
language : en
Publisher: World Scientific
Release Date : 2020-10-02
Structure And Randomness In Computability And Set Theory written by Douglas Cenzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-02 with Mathematics categories.
This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSF-supported annual Southeastern Logic Symposium.
Beyond The Horizon Of Computability
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Author : Marcella Anselmo
language : en
Publisher: Springer Nature
Release Date : 2020-06-23
Beyond The Horizon Of Computability written by Marcella Anselmo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-23 with Computers categories.
This book constitutes the proceedings of the 16th Conference on Computability in Europe, CiE 2020, which was planned to be held in Fisciano, Italy, during June 29 until July 3, 2020. The conference moved to a virtual format due to the coronavirus pandemic. The 30 full and 5 short papers presented in this volume were carefully reviewed and selected from 72 submissions. CiE promotes the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences, such as physics and biology, as well as related fields, such as philosophy and history of computing. CiE 2020 had as its motto Beyond the Horizon of Computability, reflecting the interest of CiE in research transgressing the traditional boundaries of computability theory.
Computable Structures And The Hyperarithmetical Hierarchy
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Author : C.J. Ash
language : en
Publisher: Elsevier
Release Date : 2000-06-16
Computable Structures And The Hyperarithmetical Hierarchy written by C.J. Ash and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-16 with Mathematics categories.
This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).
Algebraic Computability And Enumeration Models
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Author : Cyrus F. Nourani
language : en
Publisher: CRC Press
Release Date : 2016-02-24
Algebraic Computability And Enumeration Models written by Cyrus F. Nourani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-24 with Mathematics categories.
This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples
Effective Mathematics Of The Uncountable
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Author : Noam Greenberg
language : en
Publisher: Cambridge University Press
Release Date : 2013-10-31
Effective Mathematics Of The Uncountable written by Noam Greenberg 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 2013-10-31 with Mathematics categories.
A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.
Turing S Legacy
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Author : Rod Downey
language : en
Publisher: Cambridge University Press
Release Date : 2014-05
Turing S Legacy written by Rod Downey 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 2014-05 with Biography & Autobiography categories.
A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.