Title
A Unified Framework for Non-standard Reasoning Services in Description Logics
Abstract
Non-standard reasoning in Description Logics (DLs) comprises computing a Least Common Subsumer (LCS), a Concept Difference, a Concept Unifier, or an Interpolant Concept, to name a few. Although some reasoning services have been unified already (e.g., LCS and Most Specific Concept), the definition of non-standard problems and the computation that solve them are very different from each other. We propose to unify the definitions of non-standard services as special Second-order sentences in DLs; when the solution concepts are optimal with respect to some preferences, a fixpoint replaces the Second-order quantification. Moreover, we propose to combine the well-known Tableaux calculi for DLs with rules that compute substitutions of Concept Variables. We prove soundness and completeness of the combined calculus and we give a sufficient condition for termination, which covers some non-trivial cases.
Year
DOI
Venue
2010
10.3233/978-1-60750-606-5-479
ECAI
Keywords
Field
DocType
non-standard problem,non-standard service,concept variables,non-standard reasoning,unified framework,specific concept,second-order quantification,reasoning service,interpolant concept,concept unifier,concept difference,description logics,description logic
Mathematical optimization,Computer science,Interpolation,Algorithm,Description logic,Theoretical computer science,Soundness,Fixed point,Completeness (statistics),Computation
Conference
Volume
ISSN
Citations 
215
0922-6389
6
PageRank 
References 
Authors
0.46
24
5
Name
Order
Citations
PageRank
Simona Colucci1104771.96
Tommaso Di Noia21857152.07
Eugenio Di Sciascio31733147.71
Francesco M. Donini43481452.47
Azzurra Ragone551140.86