Handbook of Spatial Logics

Handbook of Spatial Logics edited by Marco Aiello, Ian Pratt-Hartmann, Johan van Benthem.

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 Theo...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Aiello, Marco (Editor), Pratt-Hartmann, Ian (Editor), Benthem, Johan van (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Springer eBook Collection.
Subjects:
Philosophy and science.
Mathematical logic.
Geometry.
Topology.
Artificial intelligence.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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