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Title Towards General Representability in Knowledge Exchange
Authors Marcelo Arenas, Jorge Pérez, Emanuel Sallinger
Publication date 2013
Abstract In data exchange, one is typically given a source database
instance and a mapping between a source schema and a target schema. The goal
is then to materialize a target database instance that corresponds to the
source instance and the mapping. Knowledge bases consist of explicit
knowledge - as in database instances - and implicit knowledge, usually given
in the form of rules. Knowledge exchange can thus be seen as a
generalization of data exchange, where one is given a source knowledge base
and a mapping between the source and the target schema. The goal is to
materialize a target knowledge base, that is, both explicit and implicit
knowledge.
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It was found to be desirable to consider knowledge exchange as a two-stage
process, where the first step is to materialize target implicit knowledge,
given only the source implicit knowledge and the source-to-target mapping.
We can thus say that such target implicit knowledge "represents" the source
implicit knowledge under a given mapping. Two notions of "representation"
were introduced recently: safety and Q-representability.
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In this work, we introduce the very broad notion of general representability
that captures safety and lays the foundation to the study of
representability in a broad setting, in particular with the goal of
extending our work to Q-representability. To achieve this, general
representability is not limited to knowledge exchange, but based on
arbitrary schema mappings. As an essential tool for this study, we develop
conditions on schema mapping languages under which notions of equivalence
important to our investigation coincide.
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Pages 1-7
Conference name Alberto Mendelzon International Workshop on Foundations of Data Management
Publisher CEUR Publications
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