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Algebraic and Proof-theoretic Aspects of Non-classical Logics

Papers in Honor of Daniele Mundici on the Occasion of His 60th Birthday

  • Book
  • © 2007

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Editors:
  1. Stefano Aguzzoli
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  2. Agata Ciabattoni
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  3. Brunella Gerla
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  4. Corrado Manara
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  5. Vincenzo Marra
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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 4460)

Part of the book sub series: Lecture Notes in Artificial Intelligence (LNAI)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Many-Valued Non-deterministic Semantics for First-Order Logics of Formal (In)consistency

    • Arnon Avron, Anna Zamansky
    Pages 1-24

  3. Note on Conditional Constructivity

    • Matthias Baaz
    Pages 25-29

  4. Symmetric MV-Algebras

    • L. P. Belluce, Antonio Di Nola, Ada Lettieri
    Pages 30-49

  5. Implicit Operations in MV-Algebras and the Connectives of Łukasiewicz Logic

    • Xavier Caicedo
    Pages 50-68

  6. The Algebras of Łukasiewicz Many-Valued Logic: A Historical Overview

    • Roberto Cignoli
    Pages 69-83

  7. Reversibility and Irreversibility in Quantum Computation and in Quantum Computational Logics

    • Maria Luisa Dalla Chiara, Roberto Giuntini, Roberto Leporini
    Pages 84-106

  8. Cantor–Bernstein Property for MV-Algebras

    • Antonio Di Nola, Mirko Navara
    Pages 107-118

  9. A Note on Representing and Interpreting MV-Algebras

    • Costas A. Drossos, Panagis Karazeris
    Pages 119-126

  10. Towards the Generalization of Mundici’s Γ Functor to IMTL Algebras: The Linearly Ordered Case

    • Francesc Esteva, Lluís Godo
    Pages 127-137

  11. Verification by Parallelization of Parametric Code

    • Tobias Gedell, Reiner Hähnle
    Pages 138-159

  12. Finitely Presented Abelian Lattice-Ordered Groups

    • A. M. W. Glass, Françoise Point
    Pages 160-193

  13. On Fuzzy Theories with Crisp Sentences

    • Petr Hájek
    Pages 194-200

  14. Proof Transformations and Structural Invariance

    • Stefan Hetzl, Alexander Leitsch
    Pages 201-230

  15. Rényi-Ulam Game Semantics for Product Logic and for the Logic of Cancellative Hoops

    • Sándor Jenei, Franco Montagna
    Pages 231-246

  16. Notes on Strong Completeness in Łukasiewicz, Product and BL Logics and in Their First-Order Extensions

    • Franco Montagna
    Pages 247-274

  17. The Automorphism Group of Falsum-Free Product Logic

    • Giovanni Panti
    Pages 275-289

  18. Probability Theory on IF Events

    • Beloslav Riečan
    Pages 290-308

  19. Back Matter

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Keywords

About this book

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the third volume of the FoLLI LNAI subline. The 17 revised papers of this Festschrift volume - published in honour of Daniele Mundici on the occasion of his 60th birthday - include invited extended versions of the most interesting contributions to the International Conference on the Algebraic and Logical Foundations of Many-Valued Reasoning, held in Gargnano, Italy, in March 2006.

Daniele Mundici is widely acknowledged as a leading scientist in many-valued logic and ordered algebraic structures. In the last decades, his work has unveiled profound connections between logic and such diverse fields of research as functional analysis, probability and measure theory, the geometry of toric varieties, piecewise linear geometry, and error-correcting codes. Several prominent logicians, mathematicians, and computer scientists attending the conference have contributed to this wide-ranging collection with papers all variously related to Daniele's work.

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