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CADE
2003
Springer
14 years 9 months ago
A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Renate A. Schmidt, Ullrich Hustadt
NDJFL
2002
83views more  NDJFL 2002»
13 years 8 months ago
Shortest Axiomatizations of Implicational S4 and S5
Shortest possible axiomatizations for the implicational fragments of the modal logics S4 and S5 are reported. Among these axiomatizations is included a shortest single axiom for im...
Zachary Ernst, Branden Fitelson, Kenneth Harris, L...
FOIKS
2006
Springer
14 years 8 days ago
Reasoning Support for Expressive Ontology Languages Using a Theorem Prover
It is claimed in [45] that first-order theorem provers are not efficient for reasoning with ontologies based on description logics compared to specialised description logic reasone...
Ian Horrocks, Andrei Voronkov
KRMED
2008
13 years 10 months ago
Debugging SNOMED CT Using Axiom Pinpointing in the Description Logic EL+
Snomed ct is a large-scale medical ontology, which is developed using a variant of the inexpressive Description Logic EL. Description Logic reasoning can not only be used to compu...
Franz Baader, Boontawee Suntisrivaraporn
CADE
2010
Springer
13 years 9 months ago
An Extension of Complex Role Inclusion Axioms in the Description Logic SROIQ
We propose an extension of the syntactic restriction for complex role inclusion axioms in the description logic SROIQ. Like the original restriction in SROIQ, our restrictions can ...
Yevgeny Kazakov