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Tableau Algorithms for Description Logics (2000) [130 citations — 16 self]

Abstract:

. Description logics are a family of knowledge representation formalisms that are descended from semantic networks and frames via the system Kl-one. During the last decade, it has been shown that the important reasoning problems (like subsumption and satisfiability) in a great variety of description logics can be decided using tableaulike algorithms. This is not very surprising since description logics have turned out to be closely related to propositional modal logics and logics of programs (such as propositional dynamic logic), for which tableau procedures have been quite successful. Nevertheless, due to different underlying intuitions and applications, most description logics differ significantly from run-of-the-mill modal and program logics. Consequently, the research on tableau algorithms in description logics led to new techniques and results, which are, however, also of interest for modal logicians. In this article, we will focus on three features that play an impo...

Citations

567 A Framework for Representing Knowledge – Minsky - 1975
515 Classification in the KL-One Knowledge Representation System – Schmolze, Lipkis - 1983
240 Practical reasoning for expressive description logics – Horrocks, Sattler, et al. - 1999
229 A scheme for integrating concrete domains into concept languages – Baader, Hanschke - 1991
226 Relational between nondeterministic and deterministic tape complexity – Savitch - 1970
212 A correspondence theory for terminological logics – Schild - 1991
207 The complexity of concept languages – Donini, Lenzerini, et al. - 1991
205 Using an expressive description logic: FaCT or fiction – Horrocks - 1998
189 Reasoning and Revision in Hybrid Representation Systems. Lecture Notes in – Nebel - 1990
158 Decidable reasoning in terminological knowledge representation systems – Buchheit, Donini, et al. - 1993
158 The evolving technology of classification-based knowledge representation systems – MacGregor - 1991
151 A semantics and complete algorithm for subsumption in the CLASSIC description logic – Borgida, Patel-Schneider - 1994
150 Smolka: Attribute concept descriptions with complements – Schmidt-Schau, G - 1991
148 The tractability of subsumption in framebased description languages – Brachman, Levesque - 1984
123 Terminological reasoning is inherently intractable – Nebel - 1990
118 An empirical analysis of optimization techniques for terminological representation systems – Baader, Hollunder, et al. - 1992
115 The FaCT system – Horrocks - 1998
105 Augmenting Concept Languages by Transitive Closure of Roles: An Alternative to Terminological Cycles – Baader - 1991
93 Terminological cycles: semantics and computational properties – Nebel - 1990
89 A description logic with transitive and inverse roles and role hierarchies – Horrocks, Sattler - 1999
88 A terminological knowledge representation system with complete inference algorithms – Baader, Hollunder - 1991
80 Subsumption algorithms for concept description languages – Hollunder, Nutt, et al. - 1990
76 Boosting the correspondence between descriptionlogics and propositional dynamic logics – Giacomo, Lenzerini
71 Tbox and Abox reasoning in expressive description logics – Giacomo, Lenzerini - 1996
66 Qualifying number restrictions in concept languages – Hollunder, Baader - 1991
62 1991], Tractable concept languages – Donini, Lenzerini, et al.
59 Subsumption algorithms for concept languages – Hollunder, Nutt - 1990
57 Decidability of Class-Based Knowledge Representation Formalisms – Giacomo - 1995
50 B.: Cardinality restrictions on concepts – Baader, Buchheit, et al. - 1996
47 Implementing and testing expressive description logics: Preliminary report – Bresciani, Franconi, et al. - 1995
46 The CLASSIC knowledge representation system: Guiding principles and implementation rational – Patel-Schneider, McGuiness, et al. - 1991
45 The complexity of existential quantification in concept languages – Donini, Hollunder, et al. - 1992
44 Optimizing description logic subsumption – Horrocks, Patel-Schneider - 1999
44 Subsumption in KL-ONE is undecidable – Schmidt-Schau - 1989
43 A concept language extended with different kinds of transitive roles – Sattler - 1996
41 Reducing" CLASSIC to practice: Knowledge representation meets reality – Brachman - 1992
37 Concept Language with Number Restrictions and Fixpoints, and its Relationship with the Mu-calculus – Giacomo, Lenzerini
34 On the Expressivity of Feature Logics with Negation, Functional Uncertainty, and Sort Equations – Baader, Bürckert, et al. - 1993
33 Terminological cycles and the propositional -calculus – Schild - 1994
30 Hybrid inferences in KL-ONE-based knowledge representation systems – Hollunder - 1990
25 1999], ‘Expressive number restrictions in description logics – Baader, Sattler
23 Complexity of terminological reasoning revisited – Lutz - 1999
22 Specifying role interaction in concept languages – Hanschke - 1992
21 The back system - an overview – Peltason - 1991
18 Tableaux and algorithms for propositional dynamic logic with converse – Giacomo, Massacci - 1996
11 A PSpace algorithm for graded modal logic – Tobies - 1999
10 Consistency checking reduced to satisfiability of concepts in terminological systems – Hollunder
10 The complexity of propositional tense logics – Spaan - 1993
4 der Hoek and Maarten de Rijke. Counting objects – Van - 1995
1 concepts: A theory and simulation of some basic capabilities – Word - 1967