Download or read book Recursion Theory for Metamathematics written by Raymond M. Smullyan and published by Oxford University Press on Demand. This book was released on 1993 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a sequel to the author's G�del's Incompleteness Theorems, though it can be read independently by anyone familiar with G�del's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Download or read book Recursion Theory for Metamathematics written by Raymond M. Smullyan and published by Oxford University Press. This book was released on 1993-01-28 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Download or read book Recursive Functions and Metamathematics written by Roman Murawski and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Download or read book Higher Recursion Theory written by Gerald E. Sacks and published by Cambridge University Press. This book was released on 2017-03-02 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Download or read book Recursion Theory Week written by Klaus Ambos-Spies and published by . This book was released on 2014-01-15 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recursion Theory Week written by Klaus Ambos-Spies and published by Springer. This book was released on 2006-11-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics.
Download or read book Metamathematics of First Order Arithmetic written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
Download or read book Recursive Functions and Metamathematics written by Roman Murawski and published by Springer. This book was released on 1999-09-30 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Download or read book Theory of Recursive Functions and Effective Computability written by Hartley Rogers and published by . This book was released on 1967 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Recursion Theory written by Ljubomir Lalov Ivanov and published by . This book was released on 1986 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Metamathematics written by Stephen Cole Kleene and published by . This book was released on 2012-07-01 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Metamathematics written by Stephen Cole Kleene and published by . This book was released on 1952 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complexity Logic and Recursion Theory written by Andrea Sorbi and published by CRC Press. This book was released on 2019-05-07 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Download or read book Recursion Theory written by Joseph R. Shoenfield and published by CRC Press. This book was released on 2018-04-27 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.
Download or read book Provability Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection
Download or read book Recursion Theory written by Joseph R. Shoenfield and published by CRC Press. This book was released on 2018-04-27 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.
Download or read book Metamathematics of First Order Arithmetic written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
