Recursively Enumerable Sets And Degrees

Author : Robert I. Soare
Publisher : Springer Science & Business Media
ISBN 13 : 9783540152996
Total Pages : 460 pages
Book Rating : 4.97/5 ( download)

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Download or read book Recursively Enumerable Sets and Degrees written by Robert I. Soare and published by Springer Science & Business Media. This book was released on 1999-11-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: ..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988

Author : R.I.·索尔 (美)
Publisher :
ISBN 13 : 9787030182951
Total Pages : 437 pages
Book Rating : 4.52/5 ( download)

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Download or read book 递归可枚举集和图灵度/[英文本]/可计算函数与可计算生成集研究/国外数学名著系列/Recursively enumerable sets and degerees written by R.I.·索尔 (美) and published by . This book was released on 1987 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Rod G. Downey
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.68/5 ( download)

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Download or read book Degree Theoretic Definitions on the Low2 Recursively Enumerable Sets written by Rod G. Downey and published by . This book was released on 1992 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Deborah Suzanne Kaddah
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.44/5 ( download)

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Download or read book Uniformity in the Recursively Enumerable Degrees and Infima in the Degrees of the Differences of Recursively Enumberable Sets written by Deborah Suzanne Kaddah and published by . This book was released on 1992 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Christine Ann Haught
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.73/5 ( download)

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Download or read book Turing and Truth Table Degrees of 1-generic and Recursively Enumerable Sets written by Christine Ann Haught and published by . This book was released on 1985 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Peter Cholak
Publisher : American Mathematical Soc.
ISBN 13 : 0821826018
Total Pages : 151 pages
Book Rating : 4.10/5 ( download)

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Download or read book Automorphisms of the Lattice of Recursively Enumerable Sets written by Peter Cholak and published by American Mathematical Soc.. This book was released on 1995 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work explores the connection between the lattice of recursively enumerable (r.e.) sets and the r.e. Turing degrees. Cholak presents a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice. In addition to providing another proof of Soare's Extension Theorem, this technique is used to prove a collection of new results, including: every non recursive r.e. set is automorphic to a high r.e. set; and for every non recursive r.e. set $A$ and for every high r.e. degree h there is an r.e. set $B$ in h such that $A$ and $B$ form isomorphic principal filters in the lattice of r.e. sets.

Author : Gerald E. Sacks
Publisher : Princeton University Press
ISBN 13 : 9780691079417
Total Pages : 192 pages
Book Rating : 4.12/5 ( download)

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Download or read book Degrees of Unsolvability written by Gerald E. Sacks and published by Princeton University Press. This book was released on 1966 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Author : Marian B. Pour-El
Publisher : Cambridge University Press
ISBN 13 : 1107168449
Total Pages : 219 pages
Book Rating : 4.42/5 ( download)

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Download or read book Computability in Analysis and Physics written by Marian B. Pour-El and published by Cambridge University Press. This book was released on 2017-03-02 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.

Author : Hartley Rogers
Publisher : National Geographic Books
ISBN 13 : 0262680521
Total Pages : 0 pages
Book Rating : 4.23/5 ( download)

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Download or read book Theory of Recursive Functions and Effective Computability written by Hartley Rogers and published by National Geographic Books. This book was released on 1987-04-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Reprint of the 1967 edition)

Author : Noam Greenberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821838857
Total Pages : 114 pages
Book Rating : 4.53/5 ( download)

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Download or read book The Role of True Finiteness in the Admissible Recursively Enumerable Degrees written by Noam Greenberg and published by American Mathematical Soc.. This book was released on 2006 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: When attempting to generalize recursion theory to admissible ordinals, it may seem as if all classical priority constructions can be lifted to any admissible ordinal satisfying a sufficiently strong fragment of the replacement scheme. We show, however, that this is not always the case. In fact, there are some constructions which make an essential use of the notion of finiteness which cannot be replaced by the generalized notion of $\alpha$-finiteness. As examples we discuss bothcodings of models of arithmetic into the recursively enumerable degrees, and non-distributive lattice embeddings into these degrees. We show that if an admissible ordinal $\alpha$ is effectively close to $\omega$ (where this closeness can be measured by size or by cofinality) then such constructions maybe performed in the $\alpha$-r.e. degrees, but otherwise they fail. The results of these constructions can be expressed in the first-order language of partially ordered sets, and so these results also show that there are natu