Universal Algebra, Algebraic Logic, and Databases


Author: B. Plotkin
Publisher: Springer Science & Business Media
ISBN: 940110820X
Category: Mathematics
Page: 438
View: 6424
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Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.

Groups, Algebras and Identities


Author: Eugene Plotkin
Publisher: American Mathematical Soc.
ISBN: 1470437139
Category: Algebra, Universal
Page: 224
View: 5365
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A co-publication of the AMS and Bar-Ilan University This volume contains the proceedings of the Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, held from March 20–24, 2016, at Bar-Ilan University and The Hebrew University of Jerusalem, Israel, in honor of Boris Plotkin's 90th birthday. The papers in this volume cover various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.

Formal Theories of Information

From Shannon to Semantic Information Theory and General Concepts of Information
Author: Giovanni Sommaruga
Publisher: Springer Science & Business Media
ISBN: 3642006582
Category: Computers
Page: 269
View: 2153
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This book presents the scientific outcome of a joint effort of the computer science departments of the universities of Berne, Fribourg and Neuchâtel. Within an initiative devoted to "Information and Knowledge", these research groups collaborated over several years on issues of logic, probability, inference, and deduction. The goal of this volume is to examine whether there is any common ground between the different approaches to the concept of information. The structure of this book could be represented by a circular model, with an innermost syntactical circle, comprising statistical and algorithmic approaches; a second, larger circle, the semantical one, in which "meaning" enters the stage; and finally an outermost circle, the pragmatic one, casting light on real-life logical reasoning. These articles are complemented by two philosophical contributions exploring the wide conceptual field as well as taking stock of the articles on the various formal theories of information.

Cylindric-like Algebras and Algebraic Logic


Author: Hajnal Andréka,Miklós Ferenczi,István Németi
Publisher: Springer Science & Business Media
ISBN: 3642350259
Category: Mathematics
Page: 474
View: 684
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Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.​

Revue Roumaine de Mathématiques Pures Et Appliqueés


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 7351
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The Cumulative Book Index


Author: N.A
Publisher: N.A
ISBN: N.A
Category: American literature
Page: N.A
View: 1688
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Mathematical Reviews


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 8884
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Algebraic Logic


Author: H. Andréka,James Donald Monk,I. Németi
Publisher: North Holland
ISBN: N.A
Category: Mathematics
Page: 746
View: 1497
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This volume is not restricted to papers presented at the 1988 Colloquium, but instead aims to provide the reader with a (relatively) coherent reading on Algebraic Logic, with an emphasis on current research. To help the non-specialist reader, the book contains an introduction to cylindric and relation algebras by Roger D. Maddux and an introduction to Boolean Algebras by Bjarni Joacute;nsson.

Fundamentals of Computation Theory

13th International Symposium, FCT 2001, Riga, Latvia, August 22-24, 2001. Proceedings
Author: Rusins Freivalds
Publisher: Springer
ISBN: N.A
Category: Electronic data processing
Page: 541
View: 6191
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This book constitutes the refereed proceedings of the 13th International Symposium Fundamentals of Computation Theory, FCT 2001, as well as of the International Workshop on Efficient Algorithms, WEA 2001, held in Riga, Latvia, in August 2001. The 28 revised full FCT papers and 15 short papers presented together with six invited contributions and 8 revised full WEA papers as well as three invited WEA contributions have been carefully reviewed and selected. Among the topics addressed are a broad variety of topics from theoretical computer science, algorithmics and programming theory. The WEA papers deal with graph and network algorithms, flow and routing problems, scheduling and approximation algorithms, etc.

Lattice Functions and Equations


Author: Sergiu Rudeanu
Publisher: Springer Science & Business Media
ISBN: 9781852332662
Category: Mathematics
Page: 435
View: 3482
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One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.

Proceedings of the Latvian Academy of Sciences

Latvijas Zinātnu Akadēmijas Vēstis. B Dal̦a, Dabaszinātnes. Natural, exact, and applied sciences
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Biology
Page: N.A
View: 799
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Proceedings of the Business and Industry Symposium

2004 Advanced Simulation Technologies Conference : April 18-22, 2004, Hyatt Regency Crystal City, Arlington, Virginia
Author: Maurice Ades,Thong Hang,Larry M. Deschaine,Society for Modeling and Simulation International
Publisher: N.A
ISBN: N.A
Category: Business & Economics
Page: 200
View: 6714
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Notices of the American Mathematical Society


Author: American Mathematical Society
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 8341
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The British National Bibliography


Author: Arthur James Wells
Publisher: N.A
ISBN: N.A
Category: English literature
Page: N.A
View: 7394
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Issues in General and Specialized Mathematics Research: 2011 Edition


Author: N.A
Publisher: ScholarlyEditions
ISBN: 1464964920
Category: Mathematics
Page: 862
View: 9186
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Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Stanford Bulletin


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Education
Page: N.A
View: 8377
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Logik und Wissenschaftstheorie


Author: Eugen Dühring
Publisher: N.A
ISBN: N.A
Category: Logic
Page: 561
View: 8735
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Semantic Web

Grundlagen
Author: Pascal Hitzler,Markus Krötzsch,Sebastian Rudolph,York Sure
Publisher: Springer-Verlag
ISBN: 3540339949
Category: Computers
Page: 277
View: 7137
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Das Buch Semantic Web – Grundlagen vermittelt als erstes deutschsprachiges Lehrbuch die Grundlagen des Semantic Web in verständlicher Weise. Es ermöglicht einen einfachen und zügigen Einstieg in Methoden und Technologien des Semantic Web und kann z.B. als solide Grundlage für die Vorbereitung und Durchführung von Vorlesungen genutzt werden. Die Autoren trennen dabei sauber zwischen einer intuitiven Hinführung zur Verwendung semantischer Technologien in der Praxis einerseits, und der Erklärung formaler und theoretischer Hintergründe andererseits. Nur für letzteres werden Grundkenntnisse in Logik vorausgesetzt, die sich bei Bedarf jedoch durch zusätzliche Lektüre und mit Hilfe eines entsprechenden Kapitels im Anhang aneignen lassen. Das Lehrbuch richtet sich primär an Studenten mit Grundkenntnissen in Informatik sowie an interessierte Praktiker welche sich im Bereich Semantic Web fortbilden möchten. Aus den Rezensionen: "... RDF, RDF-S und OWL. Diese Sprachen ... werden von den Autoren dargestellt. Bei der Darstellung ... fallen sie selten zu schwierigen Fachslang, sondern liefern eine gut nachvollziehbare Schilderung mit einfachen Beispielen, auch Übungsaufgaben runden die Kapitel ab. ... Semantic Web ist ein einfach geschriebenes und anschauliches Buch, das In die Grundkonzepte der Semantic-Web-Techniken einführt. Wer sich schnell in RDF, RDF-S und Co. einarbeiten muss und etwas Vorbildung in Logik und Algebra mitbringt, der trifft mit diesem Lehrbuch sicherlich eine gute Wahl ..." (http://www.literaturnetz.com/content/view/8742/44/)

Einführung in die Modelltheorie

Vorlesungen
Author: Philipp Rothmaler
Publisher: Spektrum Akademischer Verlag
ISBN: 9783860254615
Category: Model theory
Page: 331
View: 4411
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