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Author: Jens E. Fenstad
Publisher: Cambridge University Press
Published: 2017-03-02
Total Pages: 238
ISBN-13: 1107168163
DOWNLOAD EBOOK →This volume presents a unified and coherent account of the many and various parts of general recursion theory.
Author: Jens E. Fenstad
Publisher: Cambridge University Press
Published: 2017-03-02
Total Pages: 239
ISBN-13: 1316739368
DOWNLOAD EBOOK →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. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.
Author: Jens Erik Fenstad
Publisher:
Published: 2016
Total Pages:
ISBN-13: 9781316754801
DOWNLOAD EBOOK →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. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.
Author: Piergiorgio Odifreddi
Publisher:
Published: 1999
Total Pages: 668
ISBN-13: 9780444589439
DOWNLOAD EBOOK →Author: Nigel Cutland
Publisher: Cambridge University Press
Published: 1980-06-19
Total Pages: 268
ISBN-13: 9780521294652
DOWNLOAD EBOOK →What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.
Author: Gerald E. Sacks
Publisher: Cambridge University Press
Published: 2017-03-02
Total Pages: 361
ISBN-13: 1107168430
DOWNLOAD EBOOK →This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author: Lev D. Beklemishev
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 465
ISBN-13: 0080954898
DOWNLOAD EBOOK →Generalized Recursion Theory
Author: Herbert B. Enderton
Publisher: Academic Press
Published: 2010-12-30
Total Pages: 193
ISBN-13: 0123849594
DOWNLOAD EBOOK →Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way. Frequent historical information presented throughout More extensive motivation for each of the topics than other texts currently available Connects with topics not included in other textbooks, such as complexity theory
Author: Jens Erik Fenstad
Publisher:
Published: 1974
Total Pages: 456
ISBN-13: 9780720422009
DOWNLOAD EBOOK →Author: Adam Chlipala
Publisher: MIT Press
Published: 2013-12-06
Total Pages: 437
ISBN-13: 0262317885
DOWNLOAD EBOOK →A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
