Topological Duality for Distributive Lattices

Erscheinungsjahr 2024
ISBN: 978-1-009-34969-7
Verlag: Cambridge University Press

Buch, Englisch, Band 61, 367 Seiten, Format (B × H): 173 mm x 247 mm, Gewicht: 802 g

Reihe: Cambridge Tracts in Theoretical Computer Science

Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.

Autoren/Hrsg.

Gehrke, Mai

Gool, Sam van

Inhaltsverzeichnis

Preface; 1. Order and lattices; 2. Topology and order; 3. Priestley duality; 4. Duality methods; 5. Categorical duality; 6. Omega-point duality; 7. Domain theory; 8. Automata theory; Bibliography; Notation; Index.

Über Autor(innen)

Gehrke, Mai
Mai Gehrke is directeur de recherches in computer science at the French National Centre for Scientific Research (CNRS) working at the department of mathematics of Université Côte d'Azur in Nice. Her main contributions are in Stone duality, canonical extensions, and applications in logic and theoretical computer science.

Gool, Sam van
Sam van Gool is maître de conférences at the Research Institute for Foundations of Computer Science (IRIF) at Université Paris Cité. His main contributions are in duality theory and logic in mathematics and computer science.