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Computing the Least Common Subsumer in the Description Logic $\mathcal{EL}$ w.r.t. Terminological Cycles with Descriptive Semantics
[chapter]
2003
Lecture Notes in Computer Science
Computing the least common subsumer (lcs) is one of the most prominent non-standard inference in description logics. ...
In the present paper, we try to extend this result from concept descriptions to concepts defined in a (possibly cyclic) EL-terminology interpreted with descriptive semantics, which is the usual first-order ...
Introduction Computing the least common subsumer of concepts can be used in the bottom-up construction of description logic (DL) knowledge bases. ...
doi:10.1007/978-3-540-45091-7_8
fatcat:p6ppduc6czd6dctwjfeggb47nu
Least Common Subsumers and Most Specific Concepts in a Description Logic with Existential Restrictions and Terminological Cycles
2003
International Joint Conference on Artificial Intelligence
Computing least common subsumers (Ics) and most specific concepts (msc) are inference tasks that can support the bottom-up construction of knowledge bases in description logics. ...
In description logics with existential restrictions, the most specific concept need not exist if one restricts the attention to concept descriptions or acyclic TBoxes. ...
Introduction Computing the most specific concept of an individual and the least common subsumer of concepts can be used in the bottom-up construction of description logic (DL) knowledge bases. ...
dblp:conf/ijcai/Baader03
fatcat:dzpettnykfcgriw7qd3x7u4xyi
Axiomatization of General Concept Inclusions from Streams of Interpretations with Optional Error Tolerance
2016
European Conference on Artificial Intelligence
We propose applications that utilize the infimum and the supremum of closure operators that are induced by structures occuring in the field of Description Logics. ...
More specifically, we consider the closure operators induced by interpretations as well as closure operators induced by TBoxes, and show how we can learn GCIs from streams of interpretations, and how an ...
The author gratefully thanks the anonymous reviewers for their constructive hints and helpful remarks. ...
dblp:conf/ecai/Kriegel16
fatcat:4byiqzgzwjh2hchqpk7vwqvxky
Matching in description logics
1999
Journal of Logic and Computation
Description logic reasoning can be used both during the design phase, in order to improve the quality of ontologies, and in the deployment phase, in order to exploit the rich structure of ontologies and ...
In particular, we introduce the description logic SHIQ, which has formed the basis of several well-known ontology languages, including OWL. ...
In a second step, these concepts are generalized into one concept by computing the least common subsumer of C 1 , . . . , C k , i.e., the least concept description (in the available DL) that subsumes C ...
doi:10.1093/logcom/9.3.411
fatcat:oi3ruyvki5ez7c55bzmg2bflna
Hybrid EL-Unification is NP-complete
2013
International Workshop on Description Logics
and descriptive semantics. ...
Unification in Description Logics (DLs) has been proposed as an inference service that can, for example, be used to detect redundancies in ontologies. ...
Its introduction was originally motivated by the fact that the least common subsumer (lcs) w.r.t. a set of GCIs interpreted with descriptive semantics need not exist. ...
dblp:conf/dlog/BaaderGM13
fatcat:q4kycmwvrraknpa3sd45yrbx7q
Constructing and Extending Description Logic Ontologies using Methods of Formal Concept Analysis
2020
Künstliche Intelligenz
In particular, it is shown how concept inclusions can be axiomatized from data in the description logics EL , M , -M , and -EL . ...
For instance, it is shown how upper and lower neighbors of EL concept descriptions can be computed and further it is proven that the set of EL concept descriptions forms a graded lattice with a non-elementary ...
A Lattice-Theoretic View on EL The set of EL concept descriptions ordered by subsumption forms a lattice in which conjunction is the infimum operation and the least common subsumer mapping is the supremum ...
doi:10.1007/s13218-020-00673-8
fatcat:4gy3h6pe55c3zgncqf46hbuhj4
Measuring Similarity in Description Logics Using Refinement Operators
[chapter]
2011
Lecture Notes in Computer Science
Specifically, similarity of two individuals is assessed by first computing their most specific concepts, then the least common subsumer of these two concepts, and finally measuring their distances in the ...
This paper presents a novel measure for assessing similarity between individuals represented using Description Logic (DL). ...
In the EL logic and under the assumption of no cycles we have used Algorithm 2 to compute the MSC of an individual. ...
doi:10.1007/978-3-642-23291-6_22
fatcat:2gtiv3djcndolegjsymyyep5wu
Concept-Based Semantic Difference in Expressive Description Logics
[chapter]
2012
Lecture Notes in Computer Science
Detecting, much less understanding, the difference between two description logic based ontologies is challenging for ontology engineers due, in part, to the possibility of complex, non-local logic effects ...
Second, the presence of negation and disjunction make the standard semantic difference too sensitive to change: essentially, any logically effectual change always affects all terms in the ontology. ...
Similar to the case of the least common subsumer [9] , the presence of disjunction (and negation) trivialises definitions that are meaningful in less expressive logics. ...
doi:10.1007/978-3-642-35176-1_7
fatcat:osspift7fzcyxlutfhjkvryspa
Forgetting in General EL Terminologies
2011
International Workshop on Description Logics
We first show that a uniform interpolant of any EL terminology w.r.t. any signature always exists in EL enriched with least and greatest fixpoint constructors and show how it can be computed by reducing ...
In this paper, we propose an approach for computing a uniform interpolant for general EL terminologies. ...
For instance, Baader [2] shows that the structurally similar problems of computing Least Common Subsumer and Most Specific Concept can always be solved in cyclic classical TBoxes w.r.t. to greatest fixpoint ...
dblp:conf/dlog/Nikitina11
fatcat:oxx6yp7c7je5bjha6i3eb3qygi
Completion-based generalization inferences for the Description Logic ELOR with subjective probabilities
2014
International Journal of Approximate Reasoning
We extend this algorithm to computation algorithms for approximations of (i) the most specific concept, which generalizes a given individual into a concept description, and (ii) the least common subsumer ...
. / International Journal of Approximate Reasoning of concept descriptions into a single new concept description that subsumes all the input concepts and that is least w.r.t. subsumption. ...
The role-depth bounded least common subsumer of L s -concept descriptions C 1 , . . . , C n w.r.t. ...
doi:10.1016/j.ijar.2014.03.001
fatcat:tlhvh3mc4bhx3o3b2k22cuu2li
Computing Role-Depth Bounded Generalizations in the Description Logic $\mathcal{ELOR}$
[chapter]
2013
Lecture Notes in Computer Science
We consider the following two inferences: The least common subsumer (lcs), which computes for a given set of concepts a new concept that subsumes the input concepts and is the least one w.r.t. subsumption ...
In this paper we describe methods for computing generalizations in the ELfamily with the help of the standard reasoning algorithms. ...
The least common subsumer of two L s -concepts C 1 , C 2 w.r.t. an L s -TBox T (written: lcs T (C 1 , C 2 )) is the L t -concept description D s.t.: 1. ...
doi:10.1007/978-3-642-40942-4_5
fatcat:rgwxrcbsk5fodjceujghgg5gz4
Decidability and Complexity of Fuzzy Description Logics
2016
Künstliche Intelligenz
First approaches for reasoning in FDLs where based either on a reduction to reasoning in classical description logics (DLs) or on adaptations of reasoning approaches for DLs to the fuzzy case. ...
However, it turned out that these approaches in general do not work if expressive terminological axioms, called general concept inclusions (GCIs), are available in the FDL. ...
Overall, our decidability and undecidability results cover most of the FDLs with t-norm-based semantics, as long as the underlying DL contains at least EL and some kind of negation constructor. ...
doi:10.1007/s13218-016-0459-3
fatcat:kvlgugali5ebdey55yep3zqzcq
Blending under deconstruction
2019
Annals of Mathematics and Artificial Intelligence
As a field, computational creativity concerns itself with theoretical and practical issues in the study of creativity. ...
We overview and analyse adopted solutions and then focus on open perspectives that address two core problems in computational approaches to conceptual blending: searching for the shared semantic structure ...
, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. ...
doi:10.1007/s10472-019-09654-6
fatcat:43s7pcygd5d3dit7huznp4p7mu
Refinement-Based Similarity Measure over DL Conjunctive Queries
[chapter]
2013
Lecture Notes in Computer Science
This paper focuses on measuring similarity in the context of Description Logics (DL), and specifically on similarity between individuals. ...
than searching in the space of concepts. ...
Third, given any two queries, their least common subsumer (LCS) is the most specific query which subsumes both. ...
doi:10.1007/978-3-642-39056-2_20
fatcat:fmpsd3hbs5hh7evves5jcwmdwe
Chapter 3 Description Logics
[chapter]
2008
Foundations of Artificial Intelligence
In this chapter we will introduce description logics, a family of logic-based knowledge representation languages that can be used to represent the terminological knowledge of an application domain in a ...
After reviewing some of the most prominent applications of description logics, in particular ontology language applications, we will conclude with an overview of other aspects of description logic research ...
and frames, in that they are equipped with a formal, logic-based semantics. ...
doi:10.1016/s1574-6526(07)03003-9
fatcat:wa2lwv7ywrhvpnk3emfqv2pgyu
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