Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields

Bounds on Transfer Principles for Algebraically Closed and Complete Discretely Valued Fields
Author: Scott Shorey Brown
Publisher: American Mathematical Soc.
Total Pages: 100
Release: 1978
Genre: Mathematics
ISBN: 0821822047

We study the replacement of quantifiers in statements about algebraically closed fields or complete discretely valued fields with residue class field [italic]Z[italic subscript]p and p large compared to the length of the statement, by quantifiers which range over finite sets of algebraic numbers. Since these algebraic numbers may be effectively determined and manipulated, this gives decision procedures in these cases.

Ω-Bibliography of Mathematical Logic

Ω-Bibliography of Mathematical Logic
Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
Total Pages: 653
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662090589

Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1
Author: Raf Cluckers
Publisher: Cambridge University Press
Total Pages: 347
Release: 2011-09-22
Genre: Mathematics
ISBN: 1139499793

Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.

Author:
Publisher: World Scientific
Total Pages: 1191
Release:
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ISBN:

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures
Author: Rajendra Bhatia
Publisher: World Scientific
Total Pages: 4137
Release: 2011-06-06
Genre: Mathematics
ISBN: 9814462934

ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures

Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures
Author: S. Abramsky
Publisher: OUP Oxford
Total Pages: 556
Release: 2001-01-25
Genre: Computers
ISBN: 0191546275

This handbook volume covers fundamental topics of semantics in logic and computation. The chapters (some monographic in length), were written following years of co-ordination and follow a thematic point of view. The volume brings the reader up to front line research, and is indispensable to any serious worker in the areas.