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.
Author(s): Arnon Avron, Anna Zamansky (auth.), Stefano Aguzzoli, Agata Ciabattoni, Brunella Gerla, Corrado Manara, Vincenzo Marra (eds.)
Series: Lecture Notes in Computer Science 4460 : Lecture Notes in Artificial Intelligence
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2007
Language: English
Pages: 309
City: Berlin; New York
Tags: Artificial Intelligence (incl. Robotics); Mathematical Logic and Formal Languages; Language Translation and Linguistics
Front Matter....Pages I-VIII
Many-Valued Non-deterministic Semantics for First-Order Logics of Formal (In)consistency....Pages 1-24
Note on Conditional Constructivity....Pages 25-29
Symmetric MV-Algebras....Pages 30-49
Implicit Operations in MV-Algebras and the Connectives of Łukasiewicz Logic....Pages 50-68
The Algebras of Łukasiewicz Many-Valued Logic: A Historical Overview....Pages 69-83
Reversibility and Irreversibility in Quantum Computation and in Quantum Computational Logics....Pages 84-106
Cantor–Bernstein Property for MV-Algebras....Pages 107-118
A Note on Representing and Interpreting MV-Algebras....Pages 119-126
Towards the Generalization of Mundici’s Γ Functor to IMTL Algebras: The Linearly Ordered Case....Pages 127-137
Verification by Parallelization of Parametric Code....Pages 138-159
Finitely Presented Abelian Lattice-Ordered Groups....Pages 160-193
On Fuzzy Theories with Crisp Sentences....Pages 194-200
Proof Transformations and Structural Invariance....Pages 201-230
Rényi-Ulam Game Semantics for Product Logic and for the Logic of Cancellative Hoops....Pages 231-246
Notes on Strong Completeness in Łukasiewicz, Product and BL Logics and in Their First-Order Extensions....Pages 247-274
The Automorphism Group of Falsum-Free Product Logic....Pages 275-289
Probability Theory on IF Events....Pages 290-308
Back Matter....Pages -
