Handbook of Spatial Logics

Marco Aiello, Ian Pratt-Hartmann, Johan Van Benthem (Herausgeber)

Buch | Hardcover

1058 Seiten

2007
Springer-Verlag New York Inc.
978-1-4020-5586-7 (ISBN)

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A spatial logic is a formal language interpreted over any class of structures featuring geometrical entities and relations, broadly construed. In the past decade, spatial logics have attracted much attention in response to developments in such diverse fields as Artificial Intelligence, Database Theory, Physics, and Philosophy. The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.

What is Spatial Logic?.- First-Order Mereotopology.- Axioms, Algebras and Topology.- Qualitative Spatial Reasoning Using Constraint Calculi.- Modal Logics of Space.- Topology and Epistemic Logic.- Logical Theories for Fragments of Elementary Geometry.- Locales and Toposes as Spaces.- Spatial Logic + Temporal Logic = ?.- Dynamic Topological Logic.- Logic of Space-Time and Relativity Theory.- Discrete Spatial Models.- Real Algebraic Geometry and Constraint Databases.- Mathematical Morphology.- Spatial Reasoning and Ontology: Parts, Wholes, and Locations.

Zusatzinfo	XXI, 1058 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften
ISBN-10	1-4020-5586-2 / 1402055862
ISBN-13	978-1-4020-5586-7 / 9781402055867
Zustand	Neuware