Handbook of Spatial Logics -

Handbook of Spatial Logics

Buch | Softcover
1058 Seiten
2016 | Softcover reprint of the original 1st ed. 2007
Springer (Verlag)
978-94-024-0470-8 (ISBN)
309,23 inkl. MwSt
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.

Erscheinungsdatum
Zusatzinfo XXI, 1058 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Geisteswissenschaften Philosophie Allgemeines / Lexika
Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Logik / Mengenlehre
Naturwissenschaften
Schlagworte Artificial Intelligence • formal language • Geometry • Intelligence • Logic • Ontology • Spatial Logics • Spatial Reasoning • Topology
ISBN-10 94-024-0470-8 / 9402404708
ISBN-13 978-94-024-0470-8 / 9789402404708
Zustand Neuware
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