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Algebraic Foundations of Many-Valued Reasoning

  • Book
  • © 2000

Overview

Authors:
  1. Roberto L. O. Cignoli

    1. Department of Mathematics, University of Buenos Aires, Argentina

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  2. Itala M. L. D’Ottaviano

    1. Department of Philosophy and The Centre for Logic, Epistemology and the History of Science, State University of Campinas, Brazil

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    You can also search for this author in PubMed   Google Scholar

  3. Daniele Mundici

    1. Department of Computer Science, University of Milan, Italy

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Part of the book series: Trends in Logic (TREN, volume 7)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 1-6

  3. Basic notions

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 7-30

  4. Chang completeness theorem

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 31-49

  5. Free MV-algebras

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 51-76

  6. Łukasiewicz ∞-valued calculus

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 77-102

  7. Ulam’s game

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 103-107

  8. Lattice-theoretical properties

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 111-138

  9. MV-algebras and ℓ-groups

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 139-156

  10. Varieties of MV-algebras

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 157-178

  11. Advanced topics

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 179-195

  12. Further Readings

    • Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici
    Pages 197-202

  13. Back Matter

    Pages 203-233
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Keywords

Reviews

`Meanwhile, a rich structure theory for MV-algebras has been developed, relating them e.g. to l-groups and to nonstandard reals. The present book develops these matters in detail, and gives a coherent presentation of the core results of the last 15 years or so, also adding unpublished material of the authors. For future work on MV-algebras, this monograph will be an indispensable source.'
Mathematical Reviews, 2001

Authors and Affiliations

  • Department of Mathematics, University of Buenos Aires, Argentina

    Roberto L. O. Cignoli

  • Department of Philosophy and The Centre for Logic, Epistemology and the History of Science, State University of Campinas, Brazil

    Itala M. L. D’Ottaviano

  • Department of Computer Science, University of Milan, Italy

    Daniele Mundici

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