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» Topology, connectedness, and modal logic
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AIML
2008
13 years 6 months ago
Topology, connectedness, and modal logic
This paper presents a survey of topological spatial logics, taking as its point of departure the interpretation of the modal logic S4 due to McKinsey and Tarski. We consider the ef...
Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter...
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 4 months ago
Spatial logics with connectedness predicates
Abstract. We consider quantifier-free spatial logics, designed for qualitative spatial representation and reasoning in AI, and extend them with the means to represent topological c...
Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter...
KR
2010
Springer
13 years 9 months ago
Interpreting Topological Logics over Euclidean Spaces
Topological logics are a family of languages for representing and reasoning about topological data. In this paper, we consider propositional topological logics able to express the...
Roman Kontchakov, Ian Pratt-Hartmann, Michael Zakh...
AML
2006
87views more  AML 2006»
13 years 4 months ago
The modal logic of continuous functions on cantor space
Abstract Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'...
Philip Kremer
AIML
2006
13 years 5 months ago
From topology to metric: modal logic and quantification in metric spaces
We propose a framework for comparing the expressive power and computational behaviour of modal logics designed for reasoning about qualitative aspects of metric spaces. Within this...
Mikhail Sheremet, Dmitry Tishkovsky, Frank Wolter,...