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Title Solutions and Query Rewriting in Data Exchange
Authors Marcelo Arenas, Pablo Barceló, Leonid Libkin, Ronald Fagin
Publication date July 2013
Abstract Data exchange is the problem of taking data structured
under a
source schema and creating an instance of a target schema. Given a source
instance, there may be many solutions -- target instances that satisfy the
constraints of the data exchange problem. Previous work has identified two
classes of desirable solutions: canonical universal solutions, and their
cores. Query answering in data exchange amounts to rewriting a query over
the target schema to another query that, over a materialized target
instance, gives the result that is semantically consistent with the source
(specifically, the "certain answers"). Basic questions are then: (1) how
do these solutions compare in terms of query rewriting? and (2) how can we
determine whether a query is rewritable over a particular solution?
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Our goal is to answer these questions. Our first main result is that, in
terms of rewritability by relational algebra queries, the core is strictly
less expressive than the canonical universal solution, which in turn is
strictly less expressive than the source. To develop techniques for proving
queries non-rewritable, we establish structural properties of solutions; in
fact they are derived from the technical machinery developed in the
rewritability proofs. Our second result is that both the canonical universal
solution and the core preserve the local structure of the data, and that
every target query rewritable over any of these solutions cannot distinguish
tuples whose neighborhoods in the source are similar. This gives us a first
simple tool for checking whether a query is non-rewritable over the
canonical universal solution or over the core. We also show that these tools
generalize to arbitrary transformations that preserve the local structure of
the data, and investigate an alternative semantics of query answering in
data exchange.
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Pages 28-61
Volume 228
Journal name Information and Computation
Publisher Elsevier Science (Amsterdam, The Netherlands)
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