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Complexity Logic And Recursion Theory


Complexity Logic And Recursion Theory
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Arithmetic Proof Theory And Computational Complexity


Arithmetic Proof Theory And Computational Complexity
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Author : Peter Clote
language : en
Publisher:
Release Date : 2023

Arithmetic Proof Theory And Computational Complexity written by Peter Clote and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Computational complexity categories.


This book principally concerns the area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. This includes an open problem list of 7 fundamental and 39 technical questions together with a bibliography of references.



Computational Complexity


Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20

Computational Complexity written by Sanjeev Arora 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 2009-04-20 with Computers categories.


New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.



Recursion Theory


Recursion Theory
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Author : Chi Tat Chong
language : en
Publisher: Walter de Gruyter
Release Date : 2015

Recursion Theory written by Chi Tat Chong and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Computers categories.


The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.



Computability And Complexity


Computability And Complexity
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Author : Neil D. Jones
language : en
Publisher: MIT Press
Release Date : 1997

Computability And Complexity written by Neil D. Jones and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.


Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially programming. In a shift away from the Turing machine- and G�del number-oriented classical approaches, Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists and more applicable to practical programming problems. According to Jones, the fields of computability and complexity theory, as well as programming languages and semantics, have a great deal to offer each other. Computability and complexity theory have a breadth, depth, and generality not often seen in programming languages. The programming language community, meanwhile, has a firm grasp of algorithm design, presentation, and implementation. In addition, programming languages sometimes provide computational models that are more realistic in certain crucial aspects than traditional models. New results in the book include a proof that constant time factors do matter for its programming-oriented model of computation. (In contrast, Turing machines have a counterintuitive "constant speedup" property: that almost any program can be made to run faster, by any amount. Its proof involves techniques irrelevant to practice.) Further results include simple characterizations in programming terms of the central complexity classes PTIME and LOGSPACE, and a new approach to complete problems for NLOGSPACE, PTIME, NPTIME, and PSPACE, uniformly based on Boolean programs. Foundations of Computing series



Computability Complexity And Languages


Computability Complexity And Languages
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Author : Martin Davis
language : en
Publisher: Elsevier
Release Date : 1994-03-18

Computability Complexity And Languages written by Martin Davis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-18 with Mathematics categories.


Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. - Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. - The number of exercises included has more than tripled. - Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.



Complexity Logic And Recursion Theory


Complexity Logic And Recursion Theory
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Author : Andrea Sorbi
language : en
Publisher: CRC Press
Release Date : 2019-05-07

Complexity Logic And Recursion Theory written by Andrea Sorbi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.


"Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."



Higher Recursion Theory


Higher Recursion Theory
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Author : Gerald E. Sacks
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

Higher Recursion Theory written by Gerald E. Sacks 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 Computers categories.


This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.



Computable Structure Theory


Computable Structure Theory
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Author : Antonio Montalbán
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-24

Computable Structure Theory written by Antonio Montalbán 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 2021-06-24 with Mathematics categories.


Presents main results and techniques in computable structure theory together in a coherent framework for the first time in 20 years.



Abstract Recursion And Intrinsic Complexity


Abstract Recursion And Intrinsic Complexity
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Author : Yiannis N. Moschovakis
language : en
Publisher: Cambridge University Press
Release Date : 2018-12-06

Abstract Recursion And Intrinsic Complexity written by Yiannis N. Moschovakis 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 2018-12-06 with Computers categories.


Presents a new framework for the complexity of algorithms, for all readers interested in the theory of computation.



Computable Analysis


Computable Analysis
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Author : Klaus Weihrauch
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-14

Computable Analysis written by Klaus Weihrauch 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 2000-09-14 with Computers categories.


Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.