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Techniques Of Admissible Recursion Theory
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Book Synopsis Techniques of Admissible Recursion Theory by : C. T. Chong
Download or read book Techniques of Admissible Recursion Theory written by C. T. Chong and published by Springer. This book was released on 2006-12-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Effective Mathematics of the Uncountable by : Noam Greenberg
Download or read book Effective Mathematics of the Uncountable written by Noam Greenberg and published by Cambridge University Press. This book was released on 2013-10-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical computable model theory is most naturally concerned with countable domains. There are, however, several methods – some old, some new – that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and different methods reveal different aspects of the computable content of uncountable mathematics. This book contains introductions to eight major approaches to computable uncountable mathematics: descriptive set theory; infinite time Turing machines; Blum-Shub-Smale computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse mathematics. This book provides an authoritative and multifaceted introduction to this exciting new area of research that is still in its early stages. It is ideal as both an introductory text for graduate and advanced undergraduate students and a source of interesting new approaches for researchers in computability theory and related areas.
Book Synopsis The Role of True Finiteness in the Admissible Recursively Enumerable Degrees by : Noam Greenberg
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
Book Synopsis Higher Recursion Theory by : Gerald E. Sacks
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 362 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 second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, α-recursion, and E-recursion. This text is essential reading for all researchers in the field.
Book Synopsis Recursion Theory Week by : Heinz-Dieter Ebbinghaus
Download or read book Recursion Theory Week written by Heinz-Dieter Ebbinghaus and published by Springer. This book was released on 2006-11-14 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Higher Recursion Theory by : Gerald E. Sacks
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.
Book Synopsis Generalized Recursion Theory by : Lev D. Beklemishev
Download or read book Generalized Recursion Theory written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Recursion Theory
Book Synopsis Summaries of Projects Completed in Fiscal Year ... by :
Download or read book Summaries of Projects Completed in Fiscal Year ... written by and published by . This book was released on 1979 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Summaries of Projects Completed by : National Science Foundation (U.S.)
Download or read book Summaries of Projects Completed written by National Science Foundation (U.S.) and published by . This book was released on with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Summaries of Projects Completed in Fiscal Year ... by : National Science Foundation (U.S.)
Download or read book Summaries of Projects Completed in Fiscal Year ... written by National Science Foundation (U.S.) and published by . This book was released on 1979 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Recursion Theory by : Jens E. Fenstad
Download or read book General Recursion Theory written by Jens E. Fenstad and published by Cambridge University Press. This book was released on 2017-03-02 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a unified and coherent account of the many and various parts of general recursion theory.
Book Synopsis Locally Semialgebraic Spaces by : Hans Delfs
Download or read book Locally Semialgebraic Spaces written by Hans Delfs and published by Springer. This book was released on 2006-11-14 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constructions of Lie Algebras and their Modules by : George B. Seligman
Download or read book Constructions of Lie Algebras and their Modules written by George B. Seligman and published by Springer. This book was released on 2006-11-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. The book is intended for researchers and students of algebraic Lie theory, as well as for other researchers who are seeking explicit realizations of algebras or modules. It will probably be more useful as a resource to be dipped into, than as a text to be worked straight through.
Book Synopsis Complex Analysis and Algebraic Geometry by : Hans Grauert
Download or read book Complex Analysis and Algebraic Geometry written by Hans Grauert and published by Springer. This book was released on 2006-11-14 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Analysis and Related Topics by : Hayri Korezlioglu
Download or read book Stochastic Analysis and Related Topics written by Hayri Korezlioglu and published by Springer. This book was released on 2006-11-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.
Download or read book Equadiff 6 written by Jaromir Vosmansky and published by Springer. This book was released on 2006-11-14 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry and Differential Equations by : Chaohao Gu
Download or read book Differential Geometry and Differential Equations written by Chaohao Gu and published by Springer. This book was released on 2006-11-15 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. They cover recent advances and principal trends in current research in differential geometry.