dresden © franz baader ltl over description logic axioms tu dresden germany * supported by nicta,...
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Dresden © Franz Baader
LTL over Description Logic AxiomsLTL over Description Logic Axioms
TU Dresden
Germany
* Supported by NICTA, Canberra Research Lab
Universita degli Studi di Milano
Italy
Franz Baader* Silvio GhilardiCarsten Lutz
Uni Bremen
Germany
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Dresden © Franz Baader
MotivationMotivation represent dynamic aspects of the application domain
Concussion with no loss of consciousness
a correct representation of this conceptshould say that, after the concussion, the patient remained conscious until the examination.
[Schulz, Marko, & Suntisrivaraporn 2006]
LTL operators
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Dresden © Franz Baader
Combining DLs with TLsCombining DLs with TLs two-dimensional semantics
DL interpretation
DL interpretation
DL interpretation
DL interpretation
Temporal Structure
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Dresden © Franz Baader
Degrees of freedomDegrees of freedom which DL and which TL?
prototypical
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Dresden © Franz Baader
Degrees of freedomDegrees of freedom Which pieces of DL syntax cantemporal operators be applied to?
Our choice
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Dresden © Franz Baader
Degrees of freedomDegrees of freedom Are there rigid concepts/roles whose interpretation does not vary over time?
Our choice
have both
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Dresden © Franz Baader
Previous resultsPrevious results [Wolter&Zakharasschev 1999][Gabbay et al. 2003]
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Dresden © Franz Baader
syntax
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Dresden © Franz Baader
semantics
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Dresden © Franz Baader
semantics
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Dresden © Franz Baader
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Dresden © Franz Baader
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Dresden © Franz Baader
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Dresden © Franz Baader
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Why are these results interesting?Why are these results interesting?
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Dresden © Franz Baader
Why are these results interesting?Why are these results interesting?
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Dresden © Franz Baader
Runtime verification instead of satisfiability checkingRuntime verification instead of satisfiability checking
Runtime verificationRuntime verification
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Dresden © Franz Baader