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Current Research in Operational Quantum Logic

Algebras, Categories, Languages

  • Bob Coecke
  • David Moore
  • Alexander Wilce

Part of the Fundamental Theories of Physics book series (FTPH, volume 111)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Introduction

    1. Bob Coecke, David Moore, Alexander Wilce
      Pages 1-36
  3. Algebras

    1. Gunter Bruns, John Harding
      Pages 37-65
    2. Alexander Wilce
      Pages 81-114
    3. David J. Foulis
      Pages 115-138
  4. Categories

    1. Francis Borceux, Isar Stubbe
      Pages 167-194
    2. Bob Coecke, David Moore
      Pages 195-218
    3. Frank Valckenborgh
      Pages 219-244
    4. Jan Paseka, Jiří Rosický
      Pages 245-262
  5. Languages

    1. Pedro Resende
      Pages 263-288
    2. Stan Gudder
      Pages 289-310
  6. Back Matter
    Pages 311-325

About this book

Introduction

The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati­ cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic.

Keywords

Lattice Mathematica algebra computer science group action logic semantics

Editors and affiliations

  • Bob Coecke
    • 1
  • David Moore
    • 2
  • Alexander Wilce
    • 3
  1. 1.Department of Mathematics, FUNDFree University of BrusselsBrusselsBelgium
  2. 2.Department of Theoretical PhysicsUniversity of GenevaGenevaSwitzerland
  3. 3.Department of Mathematics and Computer ScienceJuniata CollegeHuntingdonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1201-9
  • Copyright Information Springer Science+Business Media B.V. 2000
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5437-1
  • Online ISBN 978-94-017-1201-9
  • Buy this book on publisher's site
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