The Notre Dame Lectures

Author: Peter Cholak

Publisher: Cambridge University Press

ISBN: 1108659934

Category: Mathematics

Page: N.A

View: 3510


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. In the fall of 2000, the logic community at the University of Notre Dame, Indiana hosted Greg Hjorth, Rodney G. Downey, Zoé Chatzidakis and Paola D'Aquino as visiting lecturers. Each of them presented a month-long series of expository lectures at the graduate level. This volume, the eighteenth publication in the Lecture Notes in Logic series, contains refined and expanded versions of those lectures. The four articles are entitled 'Countable models and the theory of Borel equivalence relations', 'Model theory of difference fields', 'Some computability-theoretic aspects of reals and randomness' and 'Weak fragments of Peano arithmetic'.

Logic Colloquium 2006

Author: S. Barry Cooper

Publisher: Cambridge University Press

ISBN: 0521110815

Category: Mathematics

Page: 373

View: 5231


The 2006 proceedings from the Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium.

Computation and Logic in the Real World

Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007, Proceedings

Author: Barry S. Cooper,Benedikt Löwe,Andrea Sorbi

Publisher: Springer

ISBN: 354073001X

Category: Computers

Page: 826

View: 5576


This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.

Invariant Descriptive Set Theory

Author: Su Gao

Publisher: CRC Press

ISBN: 9781584887942

Category: Mathematics

Page: 392

View: 943


Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathematics, such as algebra, topology, and logic, which have diverse applications to other fields. After reviewing classical and effective descriptive set theory, the text studies Polish groups and their actions. It then covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also provides proofs for numerous fundamental results, such as the Glimm–Effros dichotomy, the Burgess trichotomy theorem, and the Hjorth turbulence theorem. The next part describes connections with the countable model theory of infinitary logic, along with Scott analysis and the isomorphism relation on natural classes of countable models, such as graphs, trees, and groups. The book concludes with applications to classification problems and many benchmark equivalence relations. By illustrating the relevance of invariant descriptive set theory to other fields of mathematics, this self-contained book encourages readers to further explore this very active area of research.

Proceedings of the International Congress of Mathematicians

Madrid, August 22-30, 2006

Author: Marta Sanz Solé

Publisher: Amer Mathematical Society

ISBN: 9783037190227

Category: Mathematics

Page: 4500

View: 5801


The International Congress of Mathematicians (ICM) is held every four years. It is a major scientific event, bringing together mathematicians from all over the world and demonstrating the vital role that mathematics play in our society. In particular, the Fields Medals are awarded to recognize outstanding mathematical achievement. At the same time, the International Mathematical Union awards the Nevanlinna Prize for work in the field of theoretical computer science. The proceedings of ICM 2006, published as a three-volume set, present an overview of current research in all areas of mathematics and provide a permanent record the congress. The first volume features the works of Fields Medallists and the Nevanlinna Prize winner, the plenary lectures, and the speeches and pictures of the opening and closing ceremonies and award sessions. The other two volumes present the invited lectures, arranged according to their mathematical subject. Information for our distributors: Distributed within the Americas by the American Mathematical Society. All commerical channel discounts apply.

Many-sorted logic and its applications

Author: Karl Meinke,John V. Tucker

Publisher: John Wiley & Sons

ISBN: 9780471934851

Category: Computers

Page: 397

View: 514


Prominent experts present papers which discuss problems regarding this subject. Coverage includes case studies in the translation of logics for second-order and propositional dynamic logic; many-sorted algebras and equational logic; logical foundations of artificial intelligence along with a variety of methods that exist to encode information; program verification techniques such as Floyd-Hoare, intermittent assertion and temporal logic of programs.

Algebraic and Logic Programming

International Workshop, Gaussig, GDR, November 14-18, 1988 : Proceedings

Author: Jan Grabowski,Pierre Lescanne,Wolfgang Wechler

Publisher: N.A


Category: Algebraic logic

Page: 278

View: 918


Logische Grundlagen der Mathematik

Author: Ralf Schindler

Publisher: Springer-Verlag

ISBN: 3540959327

Category: Mathematics

Page: 204

View: 590


Der Autor vermittelt logisches Grundwissen, fundamentale Beweisprinzipien und Methoden der Mathematik. Dabei geht er u. a. folgenden Fragen nach: Was unterscheidet endliche von unendlichen Mengen? Wie lassen sich die ganzen, rationalen und reellen Zahlen aus den natürlichen Zahlen konstruieren? Welche grundlegenden topologischen Eigenschaften besitzt die Menge der reellen Zahlen? Lassen sich die natürlichen oder reellen Zahlen vollständig axiomatisch beschreiben? Pflichtlektüre für alle Studierenden der Mathematik, Physik und Informatik.

Grundbegriffe der Wahrscheinlichkeitsrechnung

Author: A. Kolomogoroff

Publisher: Springer-Verlag

ISBN: 3642498884

Category: Mathematics

Page: 62

View: 6593


Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.