Martin Otto

Bounded Variable Logics and Counting (eBook, PDF)

A Study in Finite Models

• Format: PDF

Produktbeschreibung

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the ninth publication in the Lecture Notes in Logic series, Martin Otto gives an introduction to finite model theory that indicates the main ideas and lines of inquiry that motivate research in this area. Particular attention is paid to bounded variable infinitary logics, with and without counting quantifiers, related fixed-point logics, and the corresponding fragments of Ptime. The relations with Ptime exhibit the fruitful exchange between ideas from logic and from complexity theory that is characteristic of finite model theory.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 2. März 2017
• Englisch
• ISBN-13: 9781316731550
• Artikelnr.: 48176914

Autorenporträt

Martin Otto has been in full-time ministry to seafarers since 1987. He and his wife, Monika, are based in Hamburg, where they work in association with the Seamen's Christian Friend Society.

Inhaltsangabe

Preface
Introduction
1. Definitions and preliminaries
2. The games and their analysis
3. The invariants
4. Fixed-point logic with counting
5. Related Lindström extensions
6. Canonization problems
7. Canonization for two variables
Bibliography
Index.