**Contemporary Mathematics**

Volume: 235;
1999;
326 pp;
Softcover

MSC: Primary 03;
Secondary 00

Print ISBN: 978-0-8218-1364-5

Product Code: CONM/235

List Price: $73.00

Individual Member Price: $58.40

**Electronic ISBN: 978-0-8218-7826-2
Product Code: CONM/235.E**

List Price: $73.00

Individual Member Price: $58.40

# Advances in Contemporary Logic and Computer Science

Share this page *Edited by *
*Walter A. Carnielli; Itala M. L. D’Ottaviano*

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.

#### Table of Contents

# Table of Contents

## Advances in Contemporary Logic and Computer Science

- Contents vii8 free
- Preface ix10 free
- Part I. Advances in Logic 116 free
- The mathematical structure of logical syntax 318
- Quantifiers for reasoning with imperfect information and Σ11-logic 1732
- Society semantics and multiple-valued logics 3348
- A topological approach to the logic underlying fuzzy subset theory 5368
- Categorical logic with partial elements 6378
- Algebraic K-theory of fields and special groups 8398
- Closed ideals of MV-algebras 99114
- Definitions of adjunction 113128
- A reduced spectrum for MV-algebras 127142

- Part II. Advances in Theoretical Computer Science 133148
- Part III. Advances in Philosophical Logic 261276

#### Readership

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