Logic Colloquium '03

Logic Colloquium '03
Title Logic Colloquium '03 PDF eBook
Author Viggo Stoltenberg-Hansen
Publisher Cambridge University Press
Pages 420
Release 2017-03-30
Genre Mathematics
ISBN 1108587143

Download Logic Colloquium '03 Book in PDF, Epub and Kindle

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 twenty-fourth publication in the Lecture Notes in Logic series, contains the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Helsinki, Finland, in August 2003. These articles include an extended tutorial on generalizing finite model theory, as well as seventeen original research articles spanning all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy.

Logic Colloquium 2005

Logic Colloquium 2005
Title Logic Colloquium 2005 PDF eBook
Author Costas Dimitracopoulos
Publisher Cambridge University Press
Pages 289
Release 2008
Genre Logic, Symbolic and mathematical
ISBN 052188425X

Download Logic Colloquium 2005 Book in PDF, Epub and Kindle

The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.

Mathematical Logic

Mathematical Logic
Title Mathematical Logic PDF eBook
Author Ian Chiswell
Publisher OUP Oxford
Pages 258
Release 2007-05-18
Genre Mathematics
ISBN 0191524808

Download Mathematical Logic Book in PDF, Epub and Kindle

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.

Logic Colloquium 2007

Logic Colloquium 2007
Title Logic Colloquium 2007 PDF eBook
Author Françoise Delon
Publisher Cambridge University Press
Pages 282
Release 2010-06-07
Genre Mathematics
ISBN 1139488937

Download Logic Colloquium 2007 Book in PDF, Epub and Kindle

The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillay's conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications
Title Typed Lambda Calculi and Applications PDF eBook
Author Luke Ong
Publisher Springer
Pages 255
Release 2011-06-12
Genre Mathematics
ISBN 3642216919

Download Typed Lambda Calculi and Applications Book in PDF, Epub and Kindle

This book constitutes the refereed proceedings of the 10th International Conference on Typed Lambda Calculi and Applications, TLCA 2011, held in Novi Sad, Serbia, in June 2011 as part of RDP 2011, the 6th Federated Conference on Rewriting, Deduction, and Programming. The 15 revised full papers presented were carefully reviewed and selected from 44 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Foundations of Mathematics

Foundations of Mathematics
Title Foundations of Mathematics PDF eBook
Author Andrés Eduardo Caicedo
Publisher American Mathematical Soc.
Pages 346
Release 2017-05-12
Genre Mathematics
ISBN 1470422565

Download Foundations of Mathematics Book in PDF, Epub and Kindle

This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.

Theory and Applications of Models of Computation

Theory and Applications of Models of Computation
Title Theory and Applications of Models of Computation PDF eBook
Author Jin-Yi Cai
Publisher Springer
Pages 809
Release 2006-05-05
Genre Computers
ISBN 354034022X

Download Theory and Applications of Models of Computation Book in PDF, Epub and Kindle

This book constitutes the refereed proceedings of the Third International Conference on Theory and Applications of Models of Computation, TAMC 2006, held in Beijing, China, in May 2006. The 75 revised full papers presented together with 7 plenary talks were carefully reviewed and selected from 319 submissions. All major areas in computer science, mathematics (especially logic) and the physical sciences particularly with regard to computation and computability theory are addressed.