Logic Colloquium '87
Logic Colloquium '87

Author: Heinz-Dieter Ebbinghaus

Publisher: Elsevier

Published: 1989

Total Pages: 387

ISBN-13: 0444880224

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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.

Combinatorial Set Theory
Combinatorial Set Theory

Author: Lorenz J. Halbeisen

Publisher: Springer Science & Business Media

Published: 2011-11-24

Total Pages: 449

ISBN-13: 1447121732

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This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.

Handbook of Logic in Artificial Intelligence and Logic Programming: Volume 5: Logic Programming
Handbook of Logic in Artificial Intelligence and Logic Programming: Volume 5: Logic Programming

Author: Dov M. Gabbay

Publisher: Clarendon Press

Published: 1998-01-08

Total Pages: 818

ISBN-13: 0191546283

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The Handbook of Logic in Artificial Intelligence and Logic Programming is a multi-volume work covering all major areas of the application of logic to artificial intelligence and logic programming. The authors are chosen on an international basis and are leaders in the fields covered. Volume 5 is the last in this well-regarded series. Logic is now widely recognized as one of the foundational disciplines of computing. It has found applications in virtually all aspects of the subject, from software and hardware engineering to programming languages and artificial intelligence. In response to the growing need for an in-depth survey of these applications the Handbook of Logic in Artificial Intelligence and its companion, the Handbook of Logic in Computer Science have been created. The Handbooks are a combination of authoritative exposition, comprehensive survey, and fundamental research exploring the underlying themes in the various areas. Some mathematical background is assumed, and much of the material will be of interest to logicians and mathematicians. Volume 5 focuses particularly on logic programming. The chapters, which in many cases are of monograph length and scope, emphasize possible unifying themes.

Logic Colloquium '87
Logic Colloquium '87

Author: H.-D. Ebbinghaus

Publisher: Elsevier

Published: 2000-04-01

Total Pages: 387

ISBN-13: 0080880061

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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.

Interactive Theorem Proving
Interactive Theorem Proving

Author: Jeremy Avigad

Publisher: Springer

Published: 2018-07-03

Total Pages: 657

ISBN-13: 3319948210

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This book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018. The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results. Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

All About Maude - A High-Performance Logical Framework
All About Maude - A High-Performance Logical Framework

Author: Manuel Clavel

Publisher: Springer

Published: 2007-07-19

Total Pages: 799

ISBN-13: 3540719997

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Maude is a language and system based on rewriting logic. In this comprehensive account, you’ll discover how Maude and its formal tool environment can be used in three mutually reinforcing ways: as a declarative programming language, as an executable formal specification language, and as a formal verification system. Examples used throughout the book illustrate key concepts, features, and the many practical uses of Maude.