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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 - S. Aguzzoli

Algebraic and Proof-theoretic Aspects of Non-classical Logics

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

By: S. Aguzzoli (Editor), A. Ciabattoni (Editor), B. Gerla (Editor), C. Manara (Editor), V. Marra (Editor)


Published: 26th October 2007
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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.

Many-Valued Non-deterministic Semantics for First-Order Logics of Formal (In)consistencyp. 1
Note on Conditional Constructivityp. 25
Symmetric MV-Algebrasp. 30
Implicit Operations in MV-Algebras and the Connectives of Lukasiewicz Logicp. 50
The Algebras of Lukasiewicz Many-Valued Logic: A Historical Overviewp. 69
Reversibility and Irreversibility in Quantum Computation and in Quantum Computational Logicsp. 84
Cantor-Bernstein Property for MV-Algebrasp. 107
A Note on Representing and Interpreting MV-Algebrasp. 119
Towards the Generalization of Mundici's [Gamma] Functor to IMTL Algebras: The Linearly Ordered Casep. 127
Verification by Parallelization of Parametric Codep. 138
Finitely Presented Abelian Lattice-Ordered Groupsp. 160
On Fuzzy Theories with Crisp Sentencesp. 194
Proof Transformations and Structural Invariancep. 201
Renyi-Ulam Game Semantics for Product Logic and for the Logic of Cancellative Hoopsp. 231
Notes on Strong Completeness in Lukasiewicz, Product and BL Logics and in Their First-Order Extensionsp. 247
The Automorphism Group of Falsum-Free Product Logicp. 275
Probability Theory on IF Eventsp. 290
Author Indexp. 309
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9783540759386
ISBN-10: 3540759387
Series: Lecture Notes in Artificial Intelligence
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 312
Published: 26th October 2007
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.85
Weight (kg): 0.5