Dependence Logic
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Dependence Logic
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Author : Samson Abramsky
language : en
Publisher: Birkhäuser
Release Date : 2016-06-29
Dependence Logic written by Samson Abramsky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-29 with Mathematics categories.
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.
Dependence Logic
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Author : Jouko Väänänen
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-10
Dependence Logic written by Jouko Väänänen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-10 with Mathematics categories.
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
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Author : Jouko Va{diaer}a{diaer}na{diaer}nen
language : en
Publisher:
Release Date : 2007
Dependence Logic written by Jouko Va{diaer}a{diaer}na{diaer}nen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with First-order logic categories.
A systematic logical study of dependence also providing a precise treatment of independence friendly logic.
Complexity And Expressivity Of Dependence Logic Extensions
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Author : Johannes Ebbing
language : en
Publisher: Cuvillier Verlag
Release Date : 2014-02-06
Complexity And Expressivity Of Dependence Logic Extensions written by Johannes Ebbing and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-06 with Computers categories.
Dependence Logic (D) wurde 2007 von Jouko Väänänen erstmals vorgestellt. Hierbei handelte es sich um eine Logik, welche die Prädikatenlogik der ersten Stufe um das sogenannte dependence Atom (in Zeichen =(t_1,...,t_n)) erweitert. Es ist erfüllt, wenn die funktionale Abhängigkeit des Terms t_n von den Termen t_1,..., t_n-1 gegeben ist, d.h. wenn t_n eine Funktion von t_1,..., t_n-1 ist. 2009 wurde eine modale Version der dependence Logik (MDL) von Abramsky und Väänänen erstmals vorgestellt. In dieser Arbeit betrachten wir sowohl modale als sich die prädikatenlogische Variante. In Kapitel 3 stellen wir die Erweiterungen der dependence Logik um die Quantoren M und ein Paritätsquantor. Der Quantor M ist erfüllt, wenn mindestens die Hälfte aller Belegungen für die quantifizierte Variable wahr ist. Der Paritätsquantor wird wahr, wenn eine gerade Anzahl von Belegungen der quantifizierten Variablen wahr ist. In Kapitel 3 zeigen wir, dass dependence Logik erweitert um M mit der Hierarchie der Zählklassen PP (CH) übereinstimmt und dependence Logik erweitert um den Paritätsquantor mit der Komplexitätsklasse parityP. Kapitel 4 beschäftigt sich mit erweiterter modalen dependence Logik (EMDL), welche auf der von Sevenster und Väänänen vorgestellten modalen dependence Logik beruht. Hierbei wird das dependence Atom =(p_1,..., p_n), welches in MDL nur auf atomare Propositionen p_1,...,p_n angewendet wird, durch ein neues dependence Atom ersetzt, welches auch modalligische Formeln beinhalten kann. Wir zeigen, dass die Komplexität des Modellprüfungsproblems sowie die Komplexität des Erfüllbarkeitsproblems nicht schwieriger sind, als die korrespondierenden Probleme auf der Logik MDL. Außerdem zeigen wir, dass es EMDL Formeln gibt, die nicht durch MDL Formeln abgebildet werden können. In Kapitel 5 wird wieder eine Variante der prädikatenlogischen dependence Logik vorgestellt. Diese Boole'scher dependence Logik BD wird mit sogenannten partially ordered connectives verglichen, welche von Henkin vorgestellt wurden. Dabei wird gezeigt, dass die Logiken sowie ihre Fragmente äquivalent sind. Des Weiteren wird gezeigt, dass Boole'sche dependence Logik eine strikte Trennung zu ihren Logikfragmenten aufweist. Das heißt, dass es Formeln in einem Fragment der Logik gibt, die sich nicht in einem kleineren Fragment der Logik darstellen lassen.
Computer Science Logic
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Author : Anuj Dawar
language : en
Publisher: Springer
Release Date : 2010-08-14
Computer Science Logic written by Anuj Dawar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-14 with Computers categories.
Annotation. This volume constitutes the refereed proceedings of the 24th International Workshop on Computer Science Logic, CSL 2010, held in Brno, Czech Republic, in August 2010. The 33 full papers presented together with 7 invited talks, were carefully reviewed and selected from 103 submissions. Topics covered include automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and games, modal and temporal logic, model checking, decision procedures, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification and program analysis, linear logic, higher-order logic, and nonmonotonic reasoning.
Logic Language Information And Computation
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Author : Jouko Väänänen
language : en
Publisher: Springer
Release Date : 2016-08-05
Logic Language Information And Computation written by Jouko Väänänen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-05 with Mathematics categories.
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.
Logical Foundations Of Computer Science
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Author : Sergei Artemov
language : en
Publisher: Springer Nature
Release Date : 2021-12-16
Logical Foundations Of Computer Science written by Sergei Artemov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2022, held in Deerfield Beach, FL, USA, in January 2022. The 23 revised full papers were carefully reviewed and selected from 35 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; other logics in computer science.
Propositional Logics 3rd Edition
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Author : Richard L Epstein
language : en
Publisher: Advanced Reasoning Forum
Release Date : 2018-11-05
Propositional Logics 3rd Edition written by Richard L Epstein and has been published by Advanced Reasoning Forum this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Philosophy categories.
This book presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum: as the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.
Theory Of Logical Calculi
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Author : Ryszard Wójcicki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Theory Of Logical Calculi written by Ryszard Wójcicki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Philosophy categories.
The general aim of this book is to provide an elementary exposition of some basic concepts in terms of which both classical and non-dassicallogirs may be studied and appraised. Although quantificational logic is dealt with briefly in the last chapter, the discussion is chiefly concemed with propo gjtional cakuli. Still, the subject, as it stands today, cannot br covered in one book of reasonable length. Rather than to try to include in the volume as much as possible, I have put emphasis on some selected topics. Even these could not be roverrd completely, but for each topic I have attempted to present a detailed and precise t'Xposition of several basic results including some which are non-trivial. The roots of some of the central ideas in the volume go back to J. Luka siewicz's seminar on mathematicallogi.
Foundations Of Information And Knowledge Systems
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Author : Marc Gyssens
language : en
Publisher: Springer
Release Date : 2016-03-03
Foundations Of Information And Knowledge Systems written by Marc Gyssens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-03 with Mathematics categories.
This book constitutes the proceedings of the 9th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2016, held in Linz, Austria, in March 2016. The 14 revised full papers presented papers were carefully reviewed and selected from 23 submissions. The papers address various topics such as reasoning about beliefs, uncertainty, incompleteness, and inconsistency, inference and problem solving, querying and pattern mining, dealing with knowledge, logics and complexity.