The Classical Decision Problem

Author: Egon Börger,Erich Grädel,Yuri Gurevich

Publisher: Springer Science & Business Media

ISBN: 9783540423249

Category: Mathematics

Page: 482

View: 4579

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This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science. The text presents a revealing analysis of the natural order of decidable and undecidable cases and includes a number of simple proofs and exercises.
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Frontiers of Combining Systems

5th International Workshop, FroCoS 2005, Vienna, Austria, September 19-21, 2005, Proceedings

Author: Bernhard Gramlich

Publisher: Springer Science & Business Media

ISBN: 9783540290513

Category: Computers

Page: 320

View: 9843

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This book constitutes the refereed proceedings of the 5th International Workshop on Frontiers of Combining Systems, FroCoS 2005, held in Vienna, Austria, in September 2005. The 19 revised full papers presented including 2 system descriptions were carefully reviewed and selected from 28 submissions. The papers are organized in topical sections on combinations of logics, theories, and decision procedures; constraint solving and programming; combination issues in rewriting and programming as well as in logical frameworks and theorem proving systems.
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Mathematics, Computer Science and Logic - A Never Ending Story

The Bruno Buchberger Festschrift

Author: Peter Paule

Publisher: Springer Science & Business Media

ISBN: 3319009664

Category: Computers

Page: 113

View: 5936

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This book presents four mathematical essays which explore the foundations of mathematics and related topics ranging from philosophy and logic to modern computer mathematics. While connected to the historical evolution of these concepts, the essays place strong emphasis on developments still to come. The book originated in a 2002 symposium celebrating the work of Bruno Buchberger, Professor of Computer Mathematics at Johannes Kepler University, Linz, Austria, on the occasion of his 60th birthday. Among many other accomplishments, Professor Buchberger in 1985 was the founding editor of the Journal of Symbolic Computation; the founder of the Research Institute for Symbolic Computation (RISC) and its chairman from 1987-2000; the founder in 1990 of the Softwarepark Hagenberg, Austria, and since then its director. More than a decade in the making, Mathematics, Computer Science and Logic - A Never Ending Story includes essays by leading authorities, on such topics as mathematical foundations from the perspective of computer verification; a symbolic-computational philosophy and methodology for mathematics; the role of logic and algebra in software engineering; and new directions in the foundations of mathematics. These inspiring essays invite general, mathematically interested readers to share state-of-the-art ideas which advance the never ending story of mathematics, computer science and logic. Mathematics, Computer Science and Logic - A Never Ending Story is edited by Professor Peter Paule, Bruno Buchberger’s successor as director of the Research Institute for Symbolic Computation.
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Dependence Logic

Theory and Applications

Author: Samson Abramsky,Juha Kontinen,Jouko Väänänen,Heribert Vollmer

Publisher: Birkhäuser

ISBN: 3319318039

Category: Mathematics

Page: 276

View: 3340

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In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to write a chapter based on talks given at seminars held at the Schloss Dagstuhl Leibniz Center for Informatics in Wadern, Germany (in February 2013 and June 2015) and an Academy Colloquium at the Royal Netherlands Academy of Arts and Sciences (March 2014). Altogether, these chapters provide the most up-to-date look at this developing and highly interdisciplinary field and will be of interest to a broad group of logicians, mathematicians, statisticians, philosophers, and scientists. Topics covered include a comprehensive survey of many propositional, modal, and first-order variants of dependence logic; new results concerning expressive power of several variants of dependence logic with different sets of logical connectives and generalized dependence atoms; connections between inclusion logic and the least-fixed point logic; an overview of dependencies in databases by addressing the relationships between implication problems for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic; various Markovian models used to characterize dependencies and causality among variables in multivariate systems; applications of dependence logic in social choice theory; and an introduction to the theory of secret sharing, pointing out connections to dependence and independence logic.
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Aspects of Brownian Motion

Author: Roger Mansuy,Marc Yor

Publisher: Springer Science & Business Media

ISBN: 9783540499664

Category: Mathematics

Page: 200

View: 8216

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Stochastic calculus and excursion theory are very efficient tools for obtaining either exact or asymptotic results about Brownian motion and related processes. This book focuses on special classes of Brownian functionals, including Gaussian subspaces of the Gaussian space of Brownian motion; Brownian quadratic funtionals; Brownian local times; Exponential functionals of Brownian motion with drift; Time spent by Brownian motion below a multiple of its one-sided supremum.
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Modal Logic for Open Minds

Author: Johan van Benthem

Publisher: Stanford Univ Center for the Study

ISBN: N.A

Category: Philosophy

Page: 381

View: 1618

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In this work, the author provides an introduction to the field of modal logic, outlining its major ideas and emploring the numerous ways in which various academic fields have adopted it.
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Brain Inspired Cognitive Systems 2008

Author: Amir Hussain,Igor Aleksander,Leslie S. Smith,Allan Kardec Barros,Ron Chrisley,Vassilis Cutsuridis

Publisher: Springer

ISBN: 038757073X

Category: Computers

Page: 386

View: 9406

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Brain Inspired Cognitive Systems 2008 (June 24-27, 2008; São Luís, Brazil) brought together leading scientists and engineers who use analytic, syntactic and computational methods both to understand the prodigious processing properties of biological systems and, specifically, of the brain, and to exploit such knowledge to advance computational methods towards ever higher levels of cognitive competence. This book includes the papers presented at four major symposia: Part I - Cognitive Neuroscience Part II - Biologically Inspired Systems Part III - Neural Computation Part IV - Models of Consciousness.
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Algebraic Geometry

An Introduction

Author: Daniel Perrin

Publisher: N.A

ISBN: N.A

Category: Geometry, Algebraic

Page: 258

View: 1269

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Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject; it assumes only the standard background of undergraduate algebra. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
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