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» From topology to metric: modal logic and quantification in m...
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AIML
2006
13 years 6 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,...
APAL
2010
97views more  APAL 2010»
13 years 4 months ago
A modal logic framework for reasoning about comparative distances and topology
We propose and investigate a uniform modal logic framework for reasoning about topology and relative distance in metric and more general distance spaces, thus enabling the compari...
Mikhail Sheremet, Frank Wolter, Michael Zakharyasc...
JANCL
2002
91views more  JANCL 2002»
13 years 4 months ago
A Modal Walk Through Space
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...
Marco Aiello, Johan van Benthem
HYBRID
2001
Springer
13 years 9 months ago
Robust Controller Synthesis for Hybrid Systems Using Modal Logic
Abstract. In this paper, we formulate and robustly solve a quite general class of hybrid controller synthesis problems. The type of controller we investigate is the switching contr...
Thomas Moor, Jennifer M. Davoren
FORMATS
2006
Springer
13 years 8 months ago
Temporal Logic Verification Using Simulation
In this paper, we consider a novel approach to the temporal logic verification problem of continuous dynamical systems. Our methodology has the distinctive feature that enables the...
Georgios E. Fainekos, Antoine Girard, George J. Pa...