Author : Noam Greenberg
Publisher :
Page : 207 pages
File Size : 25,77 MB
Release : 2013
Category : Electronic books
ISBN : 9781139892032
A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.
Author : Noam Greenberg
Publisher : Cambridge University Press
Page : 205 pages
File Size : 25,15 MB
Release : 2013-10-31
Category : Mathematics
ISBN : 1107014514
A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.
Author : Noam Greenberg
Publisher :
Page : 197 pages
File Size : 41,45 MB
Release : 2013
Category : Computable functions
ISBN : 9781461953678
Author : Denis R Hirschfeldt
Publisher : World Scientific
Page : 231 pages
File Size : 48,47 MB
Release : 2014-07-18
Category : Mathematics
ISBN : 9814612634
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.
Author : Merlin Carl
Publisher : Walter de Gruyter GmbH & Co KG
Page : 343 pages
File Size : 14,77 MB
Release : 2019-09-23
Category : Mathematics
ISBN : 3110496151
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.
Author : Antonio Montalbán
Publisher : Cambridge University Press
Page : 213 pages
File Size : 27,48 MB
Release : 2021-06-24
Category : Mathematics
ISBN : 1108423299
Presents main results and techniques in computable structure theory together in a coherent framework for the first time in 20 years.
Author : Denis R. Hirschfeldt
Publisher : American Mathematical Soc.
Page : 114 pages
File Size : 40,39 MB
Release : 2017-09-25
Category : Mathematics
ISBN : 1470426579
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.
Author : Arnold Beckmann
Publisher : Springer
Page : 388 pages
File Size : 38,28 MB
Release : 2016-06-13
Category : Computers
ISBN : 3319401890
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.
Author : Paola Bonizzoni
Publisher : Springer
Page : 462 pages
File Size : 15,36 MB
Release : 2013-06-03
Category : Computers
ISBN : 3642390536
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.
Author : Rod Downey
Publisher : Cambridge University Press
Page : 540 pages
File Size : 44,77 MB
Release : 2014-05
Category : Biography & Autobiography
ISBN : 1107043484
A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.
