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Logic Colloquium '84

Logic Colloquium '84 PDF Author: J.B. Paris
Publisher: Elsevier
ISBN: 008096043X
Category : Mathematics
Languages : en
Pages : 389

Book Description
This proceedings volume contains most of the invited talks presented at the colloquium. The main topics treated are the model theory of arithmetic and algebra, the semantics of natural languages, and applications of mathematical logic to complexity theory. The volume contains both surveys by acknowledged experts and original research papers presenting advances in these disciplines.

Logic Colloquium '84

Logic Colloquium '84 PDF Author: J.B. Paris
Publisher: Elsevier
ISBN: 008096043X
Category : Mathematics
Languages : en
Pages : 389

Book Description
This proceedings volume contains most of the invited talks presented at the colloquium. The main topics treated are the model theory of arithmetic and algebra, the semantics of natural languages, and applications of mathematical logic to complexity theory. The volume contains both surveys by acknowledged experts and original research papers presenting advances in these disciplines.

Logic Colloquium '87

Logic Colloquium '87 PDF Author: H.-D. Ebbinghaus
Publisher: Elsevier
ISBN: 0080880061
Category : Science
Languages : en
Pages : 387

Book Description
Fourteen papers presented at the 1987 European Summer Meeting of the Association for Symbolic Logic are collected in this volume.The main areas covered by the conference were Logic, Set Theory, Recursion Theory, Model Theory, Logic for Computer Science and Semantics of Natural Languages.

Logic Colloquium '87

Logic Colloquium '87 PDF Author: Heinz-Dieter Ebbinghaus
Publisher: Elsevier
ISBN: 0444880224
Category : Mathematics
Languages : en
Pages : 387

Book Description
Fourteen papers presented at the 1987 European Summer Meeting of the Association for Symbolic Logic are collected in this volume. The main areas covered by the conference were Logic, Set Theory, Recursion Theory, Model Theory, Logic for Computer Science and Semantics of Natural Languages.

Recursive Model Theory

Recursive Model Theory PDF Author:
Publisher: Elsevier
ISBN: 9780080533698
Category : Computers
Languages : en
Pages : 619

Book Description
Recursive Model Theory

A Functorial Model Theory

A Functorial Model Theory PDF Author: Cyrus F. Nourani
Publisher: CRC Press
ISBN: 1926895924
Category : Mathematics
Languages : en
Pages : 304

Book Description
This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.

Model Theory of Fields

Model Theory of Fields PDF Author: David Marker
Publisher: CRC Press
ISBN: 1439864411
Category : Mathematics
Languages : en
Pages : 172

Book Description
The model theory of fields is a fascinating subject stretching from Tarski's work on the decidability of the theories of the real and complex fields to Hrushovksi's recent proof of the Mordell-Lang conjecture for function fields. This volume provides an insightful introduction to this active area, concentrating on connections to stability theory.

Proof Complexity

Proof Complexity PDF Author: Jan Krajíček
Publisher: Cambridge University Press
ISBN: 1108266126
Category : Mathematics
Languages : en
Pages : 533

Book Description
Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.

Advanced Topics in Artificial Intelligence

Advanced Topics in Artificial Intelligence PDF Author: Rolf T. Nossum
Publisher: Springer Science & Business Media
ISBN: 9783540506768
Category : Computers
Languages : en
Pages : 250

Book Description
Organized by: European Coordinating Committee for AI (ECCAI)

Basic Proof Theory

Basic Proof Theory PDF Author: A. S. Troelstra
Publisher: Cambridge University Press
ISBN: 9780521779111
Category : Computers
Languages : en
Pages : 436

Book Description
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.

Wittgenstein, Finitism, and the Foundations of Mathematics

Wittgenstein, Finitism, and the Foundations of Mathematics PDF Author: Mathieu Marion
Publisher: OUP Oxford
ISBN: 0191568325
Category : Philosophy
Languages : en
Pages : 272

Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.