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...
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...
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...
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'...
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,...