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LICS
2010
IEEE
15 years 5 months ago
An Intuitionistic Logic that Proves Markov's Principle
—We design an intuitionistic predicate logic that supports a limited amount of classical reasoning, just enough to prove a variant of Markov’s principle suited for predicate lo...
Hugo Herbelin
DLOG
2009
15 years 4 months ago
Relativizing Concept Descriptions to Comparison Classes
Context-sensitivity has been for long a subject of study in linguistics, logic and computer science. Recently the problem of representing and reasoning with contextual knowledge ha...
Szymon Klarman, Stefan Schlobach
195
Voted
DLOG
2009
15 years 4 months ago
Quasi-Classical Semantics for Expressive Description Logics
Abstract. Inconsistency handling in expressive description logics is an important problem because inconsistency may naturally occur in an open world. In this paper, we present the ...
Xiaowang Zhang, Guilin Qi, Yue Ma, Zuoquan Lin
DLOG
2011
14 years 10 months ago
Two-Dimensional Description Logics of Context
We introduce an extension of Description Logics (DLs) for representing and reasoning about contextualized knowledge. Our formalism is inspired by McCarthy’s theory of formalizing...
Szymon Klarman, Víctor Gutiérrez-Bas...
DLOG
2011
14 years 10 months ago
Nominal Schemas for Integrating Rules and Description Logics
We propose an extension of SROIQ with nominal schemas which can be used like “variable nominal concepts” within axioms. This feature allows us to express arbitrary DL-safe rule...
Markus Krötzsch, Frederick Maier, Adila Alfa ...