Recursively Enumerable Sets And Degrees
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Recursively Enumerable Sets And Degrees
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Author : Robert I. Soare
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-01
Recursively Enumerable Sets And Degrees written by Robert I. Soare 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 1999-11-01 with Mathematics categories.
..."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
Recursively Enumerable Sets And Degerees
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Author : R.I.·索尔 (美)
language : en
Publisher:
Release Date : 1987
Recursively Enumerable Sets And Degerees written by R.I.·索尔 (美) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computable functions categories.
Degree Theoretic Definitions On The Low2 Recursively Enumerable Sets
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Author : Rod G. Downey
language : en
Publisher:
Release Date : 1992
Degree Theoretic Definitions On The Low2 Recursively Enumerable Sets written by Rod G. Downey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Recursion theory categories.
Turing And Truth Table Degrees Of 1 Generic And Recursively Enumerable Sets
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Author : Christine Ann Haught
language : en
Publisher:
Release Date : 1985
Turing And Truth Table Degrees Of 1 Generic And Recursively Enumerable Sets written by Christine Ann Haught and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Lattice theory categories.
Degrees Of Unsolvability
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Author : Gerald E. Sacks
language : en
Publisher: Princeton University Press
Release Date : 1966
Degrees Of Unsolvability written by Gerald E. Sacks and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.
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.
Uniformity In The Recursively Enumerable Degrees And Infima In The Degrees Of The Differences Of Recursively Enumberable Sets
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Author : Deborah Suzanne Kaddah
language : en
Publisher:
Release Date : 1992
Uniformity In The Recursively Enumerable Degrees And Infima In The Degrees Of The Differences Of Recursively Enumberable Sets written by Deborah Suzanne Kaddah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
The Role Of True Finiteness In The Admissible Recursively Enumerable Degrees
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Author : Noam Greenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
The Role Of True Finiteness In The Admissible Recursively Enumerable Degrees written by Noam Greenberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
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
Automorphisms Of The Lattice Of Recursively Enumerable Sets
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Author : Peter Cholak
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Automorphisms Of The Lattice Of Recursively Enumerable Sets written by Peter Cholak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
A version of Harrington's [capital Greek]Delta3-automorphism technique for the lattice of recursively enumerable sets is introduced and developed by reproving Soare's Extension Theorem. Then this automorphism technique is used to show two technical theorems: the High Extension Theorem I and the High Extension Theorem II. This is a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice.
Degrees Of Unsolvability
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Author : Gerald E. Sacks
language : en
Publisher:
Release Date : 1963
Degrees Of Unsolvability written by Gerald E. Sacks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Logic, Symbolic and mathematical categories.
The Inclusion Lattice And Degrees Of Unsolvability Of The Recursively Enumerable Sets
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Author : Robert William Robinson
language : en
Publisher:
Release Date : 1966
The Inclusion Lattice And Degrees Of Unsolvability Of The Recursively Enumerable Sets written by Robert William Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Recursive functions categories.