| Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and difference operators. Journal of the ACM, 27(4):633--655, 1980. |
....(CQ) with safe negated subgoals CQ . The query containment problem is to check whether the answer set of one query is always a subset of another query for any given database. Algorithms for query containment are of interest in several contexts in the database area. For query optimization [CM77, SY80] the task is to find redundant subgoals. Algorithms for data integration on the web rely on query rewriting using views, for which deciding query containment is a crucial sub step [LMSS95] Furthermore, query containment has also been used for checking integrity constraints [GSUW94] and for ....
....of updates [LS93] Starting with the NP completeness result proposed by Chandra and Merlin [CM77] many researchers have been working on extensions of the containment question. Containment of CQ s with inequalities is discussed in [Klu88, Z O97] Containment of unions of CQ s is treated in [SY80] containment of CQ s with negated subgoals in [LS93, Ull97] containment over complex objects in [LS97] and over semi structured data with regular expression in [FLS98] 1 The problem of query containment for conjunctive queries with safe negated subgoals has drawn considerably less attention ....
[Article contains additional citation context not shown here]
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and difference operations. Journal of the ACM, (4), 27(4):633--655, 1980.
....has just one query q, i.e. Q ,andV is a (not necessarily optimal) disjunctive solution for Q. Consider a rewriting of the query Q using and consider the expansion of the rewriting, which is a union of several conjunctive queries. One of these queries, P , is equivalent to the query Q [28]. We call P the equivalent conjunct of Q in terms of V. Suppose the viewset contains a nontrivial disjunctive view V .LetV be a union of conjunctive views V1, V l . Consider an alternative solution # that is obtained by replacing, this disjunctive view V by V1, V l .The # is a ....
....Xn1 ) V nmn ( Xnmn ) Here, each view V ij k belongs to the viewset V. By definition, the conjunctive query Q is equivalent to the union of the expansions of these queries P i .Eachexpansion is a union of conjunctive queries, because each view V ij k may be a disjunctive view. From [28], the query Q is equivalent to one of the expanded queries, denoted Ek,and the remaining expanded queries are contained in Q.Letthis expanded query Ek come from the query P i in P1, P n . We can keep all the views # used in P i .NoticethatP i is an equivalent conjunctive rewriting of Q ....
[Article contains additional citation context not shown here]
Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and di#erence operators. Journal of the ACM, 27(4):633--655, 1980.
....distinct rows does not mean that these actually occur in the evaluation of a query. 8 Related Work The problem of query containment on which our system is based dates to the work of Chandra and Merlin [8] Subsequent work has considered containment for various extensions of conjunctive queries [21, 3], datalog [24, 22, 9] queries with order predicates [17, 28, 19, 30, 16] with complex objects [20] with regular expressions [13] and under bag semantics [10] In [7] Bodlaender shows that given a constant bound on the treewidth, there is a linear time algorithm to recognize whether a graph ....
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and dierence operators. Journal of the ACM, 27(4):633-655, 1981.
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Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and difference operators. Journal of the ACM, 27(4):633--655, 1981.
No context found.
Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and difference operators. Journal of the ACM, 27(4):633--655, 1980.
No context found.
Yehoshua Sagiv and Mihalis Yannakakis. Equivalences among relational expressions with the union and di#erence operators. Journal of the ACM, 27(4):633--655, 1980.
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Yehoshua Sagiv and Mihalis Yannakakis. Equivalences among relational expressions with the union and di#erence operators. Journal of the ACM, 27(4):633--655, 1980.
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Y. Sagiv and M. Yannakakis. Equivalences among Relational Expressions with the Union and Di#erence Operators. Journal of the ACM, 27(4):633--655, 1980. 25
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Y. Sagiv and M. Yannakakis. Equivalences Among Relational Expressions with the Union and Di#erence Operators. JACM, 27(4):633--655, 1980. 479
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Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and di#erence operators. Journal of the ACM (JACM), 27(4), 1980.
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Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and di#erence operators. Journal of the ACM, 27(4):633--655, 1980.
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Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and di#erence operations. Journal of the ACM, 4(27):633--655, 1980.
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Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and dierence operators. Journal of the ACM, 27(4):633{ 655, 1981.
No context found.
Y. Sagiv and M. Yannakakis. Equivalences Among Relational Expressions with the Union and Di#erence Operators. JACM, 27(4):633--655, 1980.
No context found.
Yehoshua Sagiv and Mihalis Yannakakis. Equivalence among relational expressions with the union and difference operators. J. ACM, 27(4):633--655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and di#erence operators. Journal of the ACM, 27(4):633--655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and di#erence operators. Journal of the ACM (JACM), 27(4), 1980.
No context found.
Y. Sagiv, M. Yannakakis, "Equivalences Among Relational Expressions with the Union and Di#erence Operators," JACM 27, 1980, 633--655.
No context found.
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and dierence operators. Journal of the ACM, 27(4):633-655, 1981.
No context found.
Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and dierence operators. J. of the ACM, 27(4):633-655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalences Among Relational Expressions with the Union and Di#erence Operators. Journal of the ACM, 27(4):633-- 655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalences among relational expressions with the union and difference operators. J. of the ACM, 27(4):633--655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and di#erence operators. Journal of the ACM, 27(4):633--655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and dierence operators. Journal of the ACM, 27(4):633-655, 1980.
No context found.
Y. Sagiv and M. Yannakakis. Equivalence among relational expressions with the union and difference operators. Journal of the ACM, 27(4):633--655, 1981.
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