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Universal Algebra, Algebraic Logic, and Databases

  • B. Plotkin
Book

Part of the Mathematics and Its Applications book series (MAIA, volume 272)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Introduction

    1. Front Matter
      Pages 1-1
  3. Universal Algebra

    1. Front Matter
      Pages 27-27
    2. B. Plotkin
      Pages 29-46
    3. B. Plotkin
      Pages 47-63
    4. B. Plotkin
      Pages 65-84
    5. B. Plotkin
      Pages 85-114
    6. B. Plotkin
      Pages 129-152
  4. Algebraic Logic

    1. Front Matter
      Pages 153-153
    2. B. Plotkin
      Pages 173-200
    3. B. Plotkin
      Pages 201-228
    4. B. Plotkin
      Pages 229-246
  5. Databases — Algebraic Aspects

    1. Front Matter
      Pages 275-275
    2. B. Plotkin
      Pages 277-304
    3. B. Plotkin
      Pages 365-388
    4. B. Plotkin
      Pages 389-422
  6. Back Matter
    Pages 423-438

About this book

Introduction

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.

Keywords

Algebraic structure Equivalence algebra fuzzy fuzzy sets model theory symmetric relation

Authors and affiliations

  • B. Plotkin
    • 1
  1. 1.Hebrew UniversityJerusalemIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-0820-1
  • Copyright Information Springer Science+Business Media B.V. 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4352-6
  • Online ISBN 978-94-011-0820-1
  • Buy this book on publisher's site
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