Automorphisms of the Lattice of Recursively Enumerable Sets PDF Download
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Author: Peter Cholak
Publisher: American Mathematical Soc.
ISBN: 0821826018
Category : Mathematics
Languages : en
Pages : 166
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Book Description
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.
Author: Peter Cholak
Publisher: American Mathematical Soc.
ISBN: 0821826018
Category : Mathematics
Languages : en
Pages : 166
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Book Description
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.
Author: Peter Cholak
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 22
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Book Description
Author: Neil Suresh Agarwal
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 62
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Book Description
Author: Robert I. Soare
Publisher: Springer Science & Business Media
ISBN: 9783540152996
Category : Mathematics
Languages : en
Pages : 460
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Book Description
..."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: W. Maass
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
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Book Description
Author: John Todd Hammond
Publisher:
ISBN:
Category :
Languages : en
Pages : 154
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Book Description
Author: Chi Tat Chong
Publisher: World Scientific
ISBN: 9814471526
Category : Mathematics
Languages : en
Pages : 431
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Book Description
This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others.
Author: Chitat Chong
Publisher: World Scientific
ISBN: 981279655X
Category : Computers
Languages : en
Pages : 431
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Book Description
This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others.
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821895887
Category : Mathematics
Languages : en
Pages : 262
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Book Description
This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
Author: Gerald E Sacks
Publisher: World Scientific
ISBN: 9814490199
Category : Mathematics
Languages : en
Pages : 710
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Book Description
This invaluable book is a collection of 31 important — both in ideas and results — papers published by mathematical logicians in the 20th Century. The papers have been selected by Professor Gerald E Sacks. Some of the authors are Gödel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
