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» Modal Logics for Metric Spaces: Open Problems
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JANCL
2002
77views more  JANCL 2002»
13 years 5 months ago
Axiomatizing Distance Logics
In [8, 6] we introduced a family of `modal' languages intended for talking about distances. These languages are interpreted in `distance spaces' which satisfy some (or a...
Oliver Kutz, Holger Sturm, Nobu-Yuki Suzuki, Frank...
AIML
2006
13 years 7 months ago
Dynamic topological logics over spaces with continuous functions
Dynamic topological logics are combinations of topological and temporal modal logics that are used for reasoning about dynamical systems consisting of a topological space and a con...
Boris Konev, Roman Kontchakov, Frank Wolter, Micha...
FORMATS
2008
Springer
13 years 7 months ago
Complexity of Metric Temporal Logics with Counting and the Pnueli Modalities
The common metric temporal logics for continuous time were shown to be insufficient, when it was proved in [7, 12] that they cannot express a modality suggested by Pnueli. Moreover...
Alexander Rabinovich
APAL
2010
97views more  APAL 2010»
13 years 5 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...
DLOG
2007
13 years 8 months ago
Modal Logic Applied to Query Answering and the Case for Variable Modalities
We present a query answering technique based on notions and results from modal Correspondence Theory. It allows us to answer a wide family of conjunctive queries by polynomial redu...
Evgeny Zolin