Dependence Logic

A New Approach to Independence Friendly Logic

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Author: Jouko Väänänen

Publisher: Cambridge University Press

ISBN: 1139465155

Category: Mathematics

Page: N.A

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Dependence is a common phenomenon, wherever one looks: ecological systems, astronomy, human history, stock markets - but what is the logic of dependence? This book is the first to carry out a systematic logical study of this important concept, giving on the way a precise mathematical treatment of Hintikka's independence friendly logic. Dependence logic adds the concept of dependence to first order logic. Here the syntax and semantics of dependence logic are studied, dependence logic is given an alternative game theoretic semantics, and results about its complexity are proven. This is a graduate textbook suitable for a special course in logic in mathematics, philosophy and computer science departments, and contains over 200 exercises, many of which have a full solution at the end of the book. It is also accessible to readers, with a basic knowledge of logic, interested in new phenomena in logic.

Dependence Logic

Theory and Applications

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

Publisher: Birkhäuser

ISBN: 3319318039

Category: Mathematics

Page: 276

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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.

Logic, Language, Information and Computation

16th International Workshop, WoLLIC 2009, Tokyo, Japan, June 21-24, 2009, Proceedings

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Author: Hiroakira Ono,Makoto Kanazawa,Ruy de Queiroz

Publisher: Springer Science & Business Media

ISBN: 364202260X

Category: Computers

Page: 409

View: 4440

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 16h International Workshop on Logic, Language, Information and Computation, WoLLIC 2009, held in Tokyo, Japan, in June 2009. The 25 revised full papers presented together with six tutorials and invited talks were carefully reviewed and selected from 57 submissions. The papers cover some of the most active areas of research on the frontiers between computation, logic, and linguistics, with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.

Logic Without Borders

Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics

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Author: Åsa Hirvonen,Juha Kontinen,Roman Kossak,Andrés Villaveces

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 1614519323

Category: Philosophy

Page: 438

View: 8874

In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky

Essays Dedicted to Samson Abramsky on the Occasion of His 60th Birthday

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Author: Bob Coecke,Luke Ong,Prakash Panangaden

Publisher: Springer

ISBN: 3642381642

Category: Computers

Page: 365

View: 6742

This Festschrift volume, published in honor of Samson Abramsky, contains contributions written by some of his colleagues, former students, and friends. In celebration of the 60th birthday of Samson Abramsky, a conference was held in Oxford, UK, during May 28-30, 2010. The papers in this volume represent his manifold contributions to semantics, logic, games, and quantum mechanics.

Logic, Language, Information, and Computation

23rd International Workshop, WoLLIC 2016, Puebla, Mexico, August 16-19th, 2016. Proceedings

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Author: Jouko Väänänen,Åsa Hirvonen,Ruy de Queiroz

Publisher: Springer

ISBN: 3662529211

Category: Mathematics

Page: 447

View: 4728

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 23rd Workshop on Logic, Language, Information and Communication, WoLLIC 2016, held in Puebla, Mexico, in August 2016.The 23 contributed papers, presented together with 9 invited lectures and tutorials, were carefully reviewed and selected from 33 submissions. The focus of the workshop is to provide a forum on inter-disciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.

Choice

Publication of the Association of College and Research Libraries, a Division of the American Library Association

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

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Forthcoming Books

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Author: Rose Arny

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

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