Classical Recursion Theory The Theory Of Functions And Sets Of Natural Numbers PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Classical Recursion Theory The Theory Of Functions And Sets Of Natural Numbers PDF full book. Access full book title Classical Recursion Theory The Theory Of Functions And Sets Of Natural Numbers.
Author | : P. Odifreddi |
Publisher | : Elsevier |
Total Pages | : 667 |
Release | : 1992-02-04 |
Genre | : Computers |
ISBN | : 9780080886596 |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Author | : Piergiorgio Odifreddi |
Publisher | : Elsevier Health Sciences |
Total Pages | : 696 |
Release | : 1989 |
Genre | : Computers |
ISBN | : |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Author | : Piergiorgio Odifreddi |
Publisher | : |
Total Pages | : 970 |
Release | : 1989 |
Genre | : Recursion theory |
ISBN | : |
Download Classical Recursion Theory Book in PDF, ePub and Kindle
This second volume of the study of classical recursion theory describes the universe from a local (bottom-up or synthetical) point of view, and covers the whole spectrum, from the recursive to the arithmetical sets. The text ends with a treatment of the enumeration degrees.
Author | : Gerald E. Sacks |
Publisher | : Cambridge University Press |
Total Pages | : 361 |
Release | : 2017-03-02 |
Genre | : Mathematics |
ISBN | : 1107168430 |
Download Higher Recursion Theory Book in PDF, ePub and Kindle
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author | : Vasco Brattka |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 389 |
Release | : 2014-09-04 |
Genre | : Philosophy |
ISBN | : 1614519404 |
Download Logic, Computation, Hierarchies Book in PDF, ePub and Kindle
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.
Author | : Elliott Mendelson |
Publisher | : CRC Press |
Total Pages | : 499 |
Release | : 2015-05-21 |
Genre | : Mathematics |
ISBN | : 1482237784 |
Download Introduction to Mathematical Logic Book in PDF, ePub and Kindle
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Godel, Church, Kleene, Rosse
Author | : James F. Peters |
Publisher | : Springer |
Total Pages | : 229 |
Release | : 2013-01-29 |
Genre | : Computers |
ISBN | : 3642365051 |
Download Transactions on Rough Sets XVI Book in PDF, ePub and Kindle
The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. Volume XVI includes extensions of papers from the Rough Sets and Knowledge Technology Conference which was held in Banff, Canada, in October 2011. In addition this book contains a long paper based on a PhD thesis. The papers cover both theory and applications of rough, fuzzy and near sets. They offer a continuation of a number of research streams which have grown out of the seminal work by Zdzislaw Pawlak during the first decade of the 21st century.
Author | : Dusko Pavlovic |
Publisher | : Springer Nature |
Total Pages | : 261 |
Release | : 2023-09-19 |
Genre | : Computers |
ISBN | : 3031348273 |
Download Programs as Diagrams Book in PDF, ePub and Kindle
It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions. In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; programmers to display the syntax of computations). Here, the string-diagrammatic depictions of computations are construed as programs in a single-instruction programming language. Such programs as diagrams show how functions are packed in boxes and tied by strings. Readers familiar with categories will learn about the foundations of computability; readers familiar with computability gain access to category theory. Additionally, readers familiar with both are offered many opportunities to improve the approach. Topics and features: Delivers a ‘crash’ diagram-based course in theory of computation Uses single-instruction diagrammatic programming language Offers a practical introduction into categories and string diagrams as computational tools Reveals how computability is programmability, rather than an ‘ether’ permeating computers Provides a categorical model of intensional computation is unique up to isomorphism Serves as a stepping stone into research of computable categories In addition to its early chapters introducing computability for beginners, this flexible textbook/resource also contains both middle chapters that expand for suitability to a graduate course as well as final chapters opening up new research. Dusko Pavlovic is a professor at the Department of Information and Computer Sciences at the University of Hawaii at Manoa, and by courtesy at the Department of Mathematics and the College of Engineering. He completed this book as an Excellence Professor at Radboud University in Nijmegen, The Netherlands.
Author | : K. Vela Velupillai |
Publisher | : Routledge |
Total Pages | : 513 |
Release | : 2012-07-26 |
Genre | : Business & Economics |
ISBN | : 1134253370 |
Download Computable Foundations for Economics Book in PDF, ePub and Kindle
Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.
Author | : Chung-Kil Hur |
Publisher | : Springer Nature |
Total Pages | : 337 |
Release | : 2023-11-22 |
Genre | : Computers |
ISBN | : 9819983118 |
Download Programming Languages and Systems Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the 21st Asian Symposium on Programming Languages and Systems, APLAS 2023, held in Taipei, Taiwan, during November 26–29, 2023. The 15 full papers included in this book are carefully reviewed and selected from 32 submissions. They were organized in topical sections as follows: semantics, logics, and foundational theory; design of languages, type systems, and foundational calculi; domain-specific languages; compilers, interpreters, and abstract machines; program derivation, synthesis, and transformation; program analysis, verification, and model-checking; logic, constraint, probabilistic, and quantum programming; software security; concurrency and parallelism; tools and environments for programming and implementation; and applications of SAT/SMT to programming and implementation.