The Notre Dame Lectures

Author: Peter Cholak
Publisher: A K Peters/CRC Press
ISBN: 1568812493
Release Date: 2005-04-09
Genre: Mathematics

In fall 2000, the Notre Dame logic community 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. The articles in this volume are refinements of these excellent lectures.

Logic Colloquium 2006

Author: S. Barry Cooper
Publisher: Cambridge University Press
ISBN: 9780521110815
Release Date: 2009-09-07
Genre: Mathematics

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

Invariant Descriptive Set Theory

Author: Su Gao
Publisher: CRC Press
ISBN: 158488794X
Release Date: 2008-09-03
Genre: Mathematics

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.

Algorithmic Randomness and Complexity

Author: Rodney G. Downey
Publisher: Springer Science & Business Media
ISBN: 9780387684413
Release Date: 2010-10-29
Genre: Computers

Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

Computability and Complexity

Author: Adam Day
Publisher: Springer
ISBN: 9783319500621
Release Date: 2016-11-30
Genre: Computers

This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday. The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.

Computation and Logic in the Real World

Author: Barry S. Cooper
Publisher: Springer
ISBN: 9783540730019
Release Date: 2007-07-25
Genre: Computers

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.

Proceedings of the International Congress of Mathematicians

Author: Marta Sanz Solé
Publisher: Amer Mathematical Society
ISBN: 3037190221
Release Date: 2006-12
Genre: Mathematics

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.

Model theory of stochastic processes

Author: Sergio Fajardo
Publisher: A K Peters Ltd
ISBN: 1568811675
Release Date: 2002
Genre: Mathematics

This book presents new research in probability theory using ideas from mathematical logic. It is a general study of stochastic processes on adapted probability spaces, employing the concept of similarity of stochastic processes based on the notion of adapted distribution. The authors use ideas from model theory and methods from nonstandard analysis. The construction of spaces with certain richness properties, defined by insights from model theory, becomes easy using nonstandard methods, but remains difficult or impossible without them.

The Varieties of Religious Experience

Author: William James
Publisher: Modern Library
ISBN: UCAL:B3947882
Release Date: 1902
Genre: Philosophy

William James' series of lectures on religion as it is is apprehended by, and affect, the individual.

Many sorted logic and its applications

Author: Karl Meinke
Publisher: John Wiley & Sons
ISBN: 0471934852
Release Date: 1993-03-09
Genre: Computers

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.

The Situation in Logic

Author: Jon Barwise
Publisher: Center for the Study of Language (CSLI)
ISBN: 0937073326
Release Date: 1989-01-01
Genre: Mathematics

Situation Theory and situation semantics are recent approaches to language and information, approaches first formulated by Jon Barwise and John Perry in Situations and Attitudes (1983). The present volume collects some of Barwise's papers written since then, those directly concerned with relations among logic, situation theory, and situation semantics. Several papers appear here for the first time.

A Course in Model Theory

Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521763240
Release Date: 2012-03-08
Genre: Mathematics

This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.