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Advances in Contemporary Logic and Computer Science
Edited by: Walter A. Carnielli and Itala M. L. D'Ottaviano, State University of Campinas, São Paolo, Brazil
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Contemporary Mathematics
1999; 326 pp; softcover
Volume: 235
ISBN-10: 0-8218-1364-1
ISBN-13: 978-0-8218-1364-5
List Price: US$69
Member Price: US$55.20
Order Code: CONM/235
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This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, São Paolo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mário Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians.

Contributions were made from leading Brazilian logicians and their Latin-American and European colleagues. All papers were selected by a careful refereeing processs and were revised and updated by their authors for publication in this volume.

There are three sections: Advances in Logic, Advances in Theoretical Computer Science, and Advances in Philosophical Logic. Well-known specialists present original research on several aspects of model theory, proof theory, algebraic logic, category theory, connections between logic and computer science, and topics of philosophical logic of current interest. Topics interweave proof-theoretical, semantical, foundational, and philosophical aspects with algorithmic and algebraic views, offering lively high-level research results.

Readership

Graduate students and research mathematicians interested in mathematical logic and foundations; computer scientists.

Table of Contents

Part I. Advances in Logic
  • J.-Y. Béziau -- The mathematical structure of logical syntax
  • X. Caicedo and M. Krynicki -- Quantifiers for reasonizing with imperfect information and \(\Sigma{^1_1}\)-logic
  • W. A. Carnielli and M. Lima-Marques -- Society semantics and multiple-valued logics
  • J. C. Cifuentes -- A topological approach to the logic underlying fuzzy subset theory
  • M. E. Coniglio -- Categorical logic with partial elements
  • M. Dickmann and F. Miraglia -- Algebraic K-theory of fields and special groups
  • A. Di Nola, G. Georgescu, and S. Sessa -- Closed ideals of \(MV\)-algebras
  • K. Došen -- Definitions of adjunction
  • N. G. Martínez -- A reduced spectrum for \(MV\)-algebras
Part II. Advances in Theoretical Computer Science
  • A. Avellone, M. Ferrari, P. Miglioli, and U. Moscato -- A tableau calculus for Dummett predicate logic
  • J. M. Turull Torres -- A hierarchy of unbounded almost rigid classes of finite structures
  • P. A. S. Veloso -- Some connections between logic and computer science
Part III. Advances in Philosophical Logic
  • D. Krause and S. French -- Opaque predicates, veiled sets and their logic
  • O. Bueno -- Truth, quasi-truth and paraconsistency
  • G. E. Rosado Haddock -- To be a Fregean or to be a Husserlian: That is the question for Platonists
  • C. Pizzi -- A modal framework for consequential implication and the factor law
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