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We describe an extension of the description logic underlying OWL-DL, SHOIN , with a number of expressive means that we believe will make it more useful in practise. Roughly speaking, we extend SHOIN with all expressive means that were suggested to us by ontol-ogy developers as useful additions to OWL-DL, and which, additionally , do not affect its… (More)

Combining knowledge representation and reasoning formalisms is an important and challenging task. It is important because non-trivial AI applications often comprise different aspects of the world, thus requiring suitable combinations of available formalisms modeling each of these aspects. It is challenging because the computational behavior of the resulting… (More)

Motivated primarily by medical terminology applications, the prominent DL SHIQ has already been extended to a DL with complex role inclusion axioms of the form R • S ˙ R or S • R ˙ R, called RIQ, and the SHIQ tableau algorithm has been extended to handle such inclusions. This paper further extends RIQ and its tableau algorithm with important expressive… (More)

We argue for the usefulness of abductive reasoning in the context of ontologies. We discuss several applicaton scenarios in which various forms of abduction would be useful, introduce corresponding ab-ductive reasoning tasks, give examples, and begin to develop the formal apparatus needed to employ abductive inference in expressive description logics.

We investigate the expressive power and computational properties of two different types of languages intended for speaking about distances. First, we consider a first-order language FM the two-variable fragment of which turns out to be undecidable in the class of distance spaces validating the triangular inequality as well as in the class of all metric… (More)

1 Motivation Combining description logics (DLs) with other logical formalisms, including other DLs, is an important and challenging task. Recent examples include: 1. the combination of DLs with temporal logics to form multi-dimensional temporal DLs, cf. e.g. [1, 6, 10]; 2. the fusion of multiple DLs into a single formalism that inherits decidability from… (More)

Combining knowledge representation and reasoning formalisms like description logics (DLs), temporal logics, and logics of space, is worthwhile but difficult. It is worthwhile because usually realistic application domains comprise various aspects of the world, thus requiring suitable combinations of formalisms modeling each of these aspects. It is difficult… (More)

We propose a novel technique for proving the consistency of large, complex and heterogeneous theories for which 'stan-dard' automated reasoning methods are considered insufficient. In particular, we exemplify the applicability of the method by establishing the consistency of the foundational ontology DOLCE, a large, first-order ontology. The approach we… (More)

abstract. We introduce a new semantics for modal predicate logic, with respect to which a rich class of first-order modal logics is complete, namely all normal first-order modal logics that are extensions of free quantified K. This logic is defined by combining positive free logic with equality PFL. = and the propo-sitional modal logic K. We then uniformly… (More)

We present a general framework for the design of formal on-tologies, resting on two main principles: firstly, we endorse Rudolf Car-nap's principle of logical tolerance by giving central stage to the concept of logical heterogeneity, i.e. the use of a plurality of logical languages within one ontology design. Secondly, to structure and combine heterogeneous… (More)