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Deduction in Concept Languages: From Subsumption to Instance Checking

by Francesco M. Donini, Maurizio Lenzerini, Daniele Nardi, Andrea Schaerf - Journal of Logic and Computation , 1994
"... It is a common opinion that subsumption is the central reasoning task in frame-based knowledge representation languages (or concept languages). Intuitively, a concept C subsumes another concept D if the set of objects represented by C is a superset of the one represented by D. When individual objec ..."
Abstract - Cited by 83 (20 self) - Add to MetaCart
objects are taken into account, the basic deductive task for retrieving information from a knowledge base is instance checking, that amounts to checking whether the knowledge base implies that an individual is an instance of a given concept. In this paper, we address the question of whether instance

Deduction in Concept Languages: From Subsumption to Instance Checking

by Francesco Donini Maurizio, Maurizio Lenzerini, Daniele Nardi, Andrea Schaerf - Journal of Logic and Computation , 1994
"... It is a common opinion that subsumption is the central reasoning task in frame-based knowledge representation languages (or concept languages). Intuitively, a concept C subsumes another concept D if the set of objects represented by C is a superset of the one represented by D. When individual o ..."
Abstract - Add to MetaCart
objects are taken into account, the basic deductive task for retrieving information from a knowledge base is instance checking, that amounts to checking whether the knowledge base implies that an individual is an instance of a given concept. In this paper, we address the question of whether instance

Secrecy-Preserving Query Answering for Instance Checking in EL

by Jia Tao, Giora Slutzki, Vasant Honavar
"... Abstract. We consider the problem of answering queries against an EL knowledge base (KB) using secrets, whenever it is possible to do so without compromising secrets. We provide a polynomial time algorithm that, given an EL KB Σ, asetS of secrets to be protected and a query q, outputs “Yes ” wheneve ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
Abstract. We consider the problem of answering queries against an EL knowledge base (KB) using secrets, whenever it is possible to do so without compromising secrets. We provide a polynomial time algorithm that, given an EL KB Σ, asetS of secrets to be protected and a query q, outputs “Yes ” whenever Σ � q and the answer to q, together with the answers to any previous queries answered by the KB, does not allow the querying agent to deduce any of the secrets in S. This approach allows more flexible information sharing than is possible with traditional access control mechanisms. 1

Converting Instance Checking to Subsumption: A Rethink for Object Queries over Practical Ontologies

by Jia Xu, Patrick Shironoshita, Ubbo Visser, Nigel John, Mansur Kabuka
"... Efficiently querying Description Logic (DL) ontologies is becoming a vital task in various data-intensive DL applications. Considered as a basic service for answering object queries over DL ontologies, instance checking can be realized by using the most specific concept (MSC) method, which converts ..."
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Efficiently querying Description Logic (DL) ontologies is becoming a vital task in various data-intensive DL applications. Considered as a basic service for answering object queries over DL ontologies, instance checking can be realized by using the most specific concept (MSC) method, which converts

Simplify: A theorem prover for program checking

by David Detlefs, Greg Nelson, James B. Saxe - J. ACM , 2003
"... This paper provides a detailed description of the automatic theorem prover Simplify, which is the proof engine of the Extended Static Checkers ESC/Java and ESC/Modula-3. Simplify uses the Nelson-Oppen method to combine decision procedures for several important theories, and also employs a matcher to ..."
Abstract - Cited by 431 (2 self) - Add to MetaCart
to reason about quantifiers. Instead of conventional matching in a term DAG, Simplify matches up to equivalence in an E-graph, which detects many relevant pattern instances that would be missed by the conventional approach. The paper describes two techniques, labels and counterexample contexts, for helping

Similarity Flooding: A Versatile Graph Matching Algorithm and Its Application to Schema Matching

by Sergey Melnik, Hector Garcia-molina, Erhard Rahm , 2002
"... Matching elements of two data schemas or two data instances plays a key role in data warehousing, e-business, or even biochemical applications. In this paper we present a matching algorithm based on a fixpoint computation that is usable across different scenarios. The algorithm takes two graphs (sch ..."
Abstract - Cited by 592 (12 self) - Add to MetaCart
Matching elements of two data schemas or two data instances plays a key role in data warehousing, e-business, or even biochemical applications. In this paper we present a matching algorithm based on a fixpoint computation that is usable across different scenarios. The algorithm takes two graphs

Tractable reasoning and efficient query answering in description logics: The DL-Lite family

by Diego Calvanese, G. De Giacomo, Domenico Lembo, Maurizio Lenzerini, Riccardo Rosati - J. OF AUTOMATED REASONING , 2007
"... We propose a new family of Description Logics (DLs), called DL-Lite, specifically tailored to capture basic ontology languages, while keeping low complexity of reasoning. Reasoning here means not only computing subsumption between concepts, and checking satisfiability of the whole knowledge base, b ..."
Abstract - Cited by 497 (123 self) - Add to MetaCart
We propose a new family of Description Logics (DLs), called DL-Lite, specifically tailored to capture basic ontology languages, while keeping low complexity of reasoning. Reasoning here means not only computing subsumption between concepts, and checking satisfiability of the whole knowledge base

Designing Programs That Check Their Work

by Manuel Blum, Sampath Kannan , 1989
"... A program correctness checker is an algorithm for checking the output of a computation. That is, given a program and an instance on which the program is run, the checker certifies whether the output of the program on that instance is correct. This paper defines the concept of a program checker. It d ..."
Abstract - Cited by 349 (17 self) - Add to MetaCart
A program correctness checker is an algorithm for checking the output of a computation. That is, given a program and an instance on which the program is run, the checker certifies whether the output of the program on that instance is correct. This paper defines the concept of a program checker

Loopy belief propagation for approximate inference: An empirical study. In:

by Kevin P Murphy , Yair Weiss , Michael I Jordan - Proceedings of Uncertainty in AI, , 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" -the use of Pearl's polytree algorithm in a Bayesian network with loops -can perform well in the context of error-correcting codes. The most dramatic instance of this is the near Shannon-limit performanc ..."
Abstract - Cited by 676 (15 self) - Add to MetaCart
Abstract Recently, researchers have demonstrated that "loopy belief propagation" -the use of Pearl's polytree algorithm in a Bayesian network with loops -can perform well in the context of error-correcting codes. The most dramatic instance of this is the near Shannon

Bayesian Description Logics. In:

by Franz Baader , Ralf Küsters , Frank Wolter - Proc. of DL’14. CEUR Workshop Proceedings, , 2014
"... Abstract This chapter considers, on the one hand, extensions of Description Logics by features not available in the basic framework, but considered important for using Description Logics as a modeling language. In particular, it addresses the extensions concerning: concrete domain constraints; moda ..."
Abstract - Cited by 394 (49 self) - Add to MetaCart
; modal, epistemic, and temporal operators; probabilities and fuzzy logic; and defaults. On the other hand, it considers non-standard inference problems for Description Logics, i.e., inference problems that-unlike subsumption or instance checking-are not available in all systems, but have turned out
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