Effective Mathematics Of The Uncountable
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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.
Effective Mathematics Of The Uncountable
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Author : Noam Greenberg
language : en
Publisher:
Release Date : 2013
Effective Mathematics Of The Uncountable written by Noam Greenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronic books categories.
A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.
Effective Mathematics Of The Uncountable
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Author : Noam Greenberg
language : en
Publisher:
Release Date : 2014-05-14
Effective Mathematics Of The Uncountable written by Noam Greenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Computable functions categories.
A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.
Effective Mathematics Of The Uncountable
DOWNLOAD
Author : Noam Greenberg
language : en
Publisher:
Release Date : 2013
Effective Mathematics Of The Uncountable written by Noam Greenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computable functions categories.
Slicing The Truth On The Computable And Reverse Mathematics Of Combinatorial Principles
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Author : Denis R Hirschfeldt
language : en
Publisher: World Scientific
Release Date : 2014-07-18
Slicing The Truth On The Computable And Reverse Mathematics Of Combinatorial Principles written by Denis R Hirschfeldt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Mathematics categories.
This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
Higher Recursion Theory And Set Theory
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Author : James Cummings
language : en
Publisher: World Scientific
Release Date : 2025-02-18
Higher Recursion Theory And Set Theory written by James Cummings and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-18 with Mathematics categories.
This volume celebrates the research contributions of Professors Theodore A Slaman and W Hugh Woodin, marking their distinguished careers in higher recursion theory and set theory as they approached the milestone of their 65th birthdays in 2019. It originates from the Institute for Mathematical Sciences program, Higher Recursion Theory and Set Theory, held at the National University of Singapore (May 20-June 14, 2019).The program explored cutting-edge developments in higher recursion theory, set theory, and their intricate interconnections. Topics discussed during the workshop included Martin's conjecture, higher randomness, the HOD conjecture, descriptive inner model theory, and the Ultimate-L program.This volume presents 15 peer-reviewed contributions by leading experts in the field, offering a comprehensive overview of recent advances in higher recursion theory and set theory, with a focus on their dynamic interactions.
Induction Bounding Weak Combinatorial Principles And The Homogeneous Model Theorem
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Author : Denis R. Hirschfeldt
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-09-25
Induction Bounding Weak Combinatorial Principles And The Homogeneous Model Theorem written by Denis R. Hirschfeldt 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 2017-09-25 with Mathematics categories.
Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory is the type spectrum of some homogeneous model of . Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theorem (HMT), and analyzed from the points of view of computability theory and reverse mathematics. Previous computability theoretic results by Lange suggested a close connection between HMT and the Atomic Model Theorem (AMT), which states that every complete atomic theory has an atomic model. The authors show that HMT and AMT are indeed equivalent in the sense of reverse mathematics, as well as in a strong computability theoretic sense and do the same for an analogous result of Peretyat'kin giving necessary and sufficient conditions for when a set of types is the type spectrum of some model.
Ordinal Computability
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Author : Merlin Carl
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-09-23
Ordinal Computability written by Merlin Carl 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 2019-09-23 with Mathematics categories.
Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics are covered.
The Nature Of Computation Logic Algorithms Applications
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Author : Paola Bonizzoni
language : en
Publisher: Springer
Release Date : 2013-06-03
The Nature Of Computation Logic Algorithms Applications written by Paola Bonizzoni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Computers categories.
This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013. The 48 revised papers presented together with 1 invited lecture and 2 tutorials were carefully reviewed and selected with an acceptance rate of under 31,7%. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.
Pursuit Of The Universal
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Author : Arnold Beckmann
language : en
Publisher: Springer
Release Date : 2016-06-13
Pursuit Of The Universal written by Arnold Beckmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-13 with Computers categories.
This book constitutes the refereed proceedings of the 12th Conference on Computability in Europe, CiE 2016, held in Paris, France, in June/July 2016. The 18 revised full papers and 19 invited papers and invited extended abstracts were carefully reviewed and selected from 40 submissions. The conference CiE 2016 has six special sessions – two sessions, cryptography and information theory and symbolic dynamics, are organized for the first time in the conference series. In addition to this new developments in areas frequently covered in the CiE conference series were addressed in the following sessions: computable and constructive analysis; computation in biological systems; history and philosophy of computing; weak arithmetic.