TY  - BOOK
AU  - Aiello,Marco
AU  - Pratt-Hartmann,Ian
AU  - Benthem,Johan
ED  - SpringerLink (Online service)
TI  - Handbook of Spatial Logics
SN  - 9781402055874
U1  - 501 23
PY  - 2007///
CY  - Dordrecht
PB  - Springer Netherlands
KW  - PHILOSOPHY (GENERAL)
KW  - SCIENCE
KW  - PHILOSOPHY
KW  - COMPUTER SCIENCE
KW  - ARTIFICIAL INTELLIGENCE
KW  - GEOMETRY
KW  - LOGIC, SYMBOLIC AND MATHEMATICAL
KW  - TOPOLOGY
KW  - PHILOSOPHY OF SCIENCE
KW  - MATHEMATICAL LOGIC AND FOUNDATIONS
KW  - MATHEMATICAL LOGIC AND FORMAL LANGUAGES
KW  - ARTIFICIAL INTELLIGENCE (INCL. ROBOTICS)
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4020-5587-4
ER  -