A schema mapping is a formal specification of the relationship holding between the databases conforming to two given schemas, called source and target, respectively. While in the general case a schema mapping is specified in terms of assertions relating two queries in some given language, various simplified forms of mappings, in particular lav and gav, have been considered, based on desirable properties that these forms enjoy. Recent works propose methods for transforming schema mappings to logically equivalent ones of a simplified form. In many cases, this transformation is impossible, and one might be interested in finding simplifications based on a weaker notion, namely logical implication, rather than equivalence. More precisely, given a schema mapping M, find a simplified (lav, or gav) schema mapping M′ such that M′ logically implies M. In this paper we formally introduce this problem, and study it in a variety of cases, providing techniques and complexity bounds. The various cases we consider depend on three parameters: the simplified form to achieve (lav, or gav), the type of schema mapping considered (sound, or exact), and the query language used in the schema mapping specification (conjunctive queries and variants over relational databases, or regular path queries and variants over graph databases). Notably, this is the first work on comparing schema mappings for graph databases. © 2013 Elsevier Inc.

On simplification of schema mappings / Diego, Calvanese; DE GIACOMO, Giuseppe; Lenzerini, Maurizio; Y., Vardi Moshe. - In: JOURNAL OF COMPUTER AND SYSTEM SCIENCES. - ISSN 0022-0000. - STAMPA. - 79:6(2013), pp. 816-834. [10.1016/j.jcss.2013.01.005]

On simplification of schema mappings

DE GIACOMO, Giuseppe;LENZERINI, Maurizio;
2013

Abstract

A schema mapping is a formal specification of the relationship holding between the databases conforming to two given schemas, called source and target, respectively. While in the general case a schema mapping is specified in terms of assertions relating two queries in some given language, various simplified forms of mappings, in particular lav and gav, have been considered, based on desirable properties that these forms enjoy. Recent works propose methods for transforming schema mappings to logically equivalent ones of a simplified form. In many cases, this transformation is impossible, and one might be interested in finding simplifications based on a weaker notion, namely logical implication, rather than equivalence. More precisely, given a schema mapping M, find a simplified (lav, or gav) schema mapping M′ such that M′ logically implies M. In this paper we formally introduce this problem, and study it in a variety of cases, providing techniques and complexity bounds. The various cases we consider depend on three parameters: the simplified form to achieve (lav, or gav), the type of schema mapping considered (sound, or exact), and the query language used in the schema mapping specification (conjunctive queries and variants over relational databases, or regular path queries and variants over graph databases). Notably, this is the first work on comparing schema mappings for graph databases. © 2013 Elsevier Inc.
2013
gav; glav; graph databases; lav; mapping simplification; regular path queries; schema mappings
01 Pubblicazione su rivista::01a Articolo in rivista
On simplification of schema mappings / Diego, Calvanese; DE GIACOMO, Giuseppe; Lenzerini, Maurizio; Y., Vardi Moshe. - In: JOURNAL OF COMPUTER AND SYSTEM SCIENCES. - ISSN 0022-0000. - STAMPA. - 79:6(2013), pp. 816-834. [10.1016/j.jcss.2013.01.005]
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