Bounded Variable Logics and Counting

Erscheinungsjahr 2017
ISBN: 978-1-107-16794-0
Verlag: Cambridge University Press

Buch, Englisch, Band 9, 193 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 440 g

Reihe: Lecture Notes in Logic

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.

Autoren/Hrsg.

Otto, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Inhaltsverzeichnis

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.

Über Autor(innen)

Otto, Martin
Martin Otto works in the Department of Mathematics at Rheinisch-Westfälische Technische Hochschule, Aachen, Germany.