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On cyclic covers and perfect models

โœ Scribed by C.A. Johnson


Book ID
104309053
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
371 KB
Volume
31
Category
Article
ISSN
0169-023X

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โœฆ Synopsis


Cyclic covers represent the complex relationships between predicates lying within, and outside of, a perfect model of an indeยฎnite stratiยฎed deductive database, and are shown to facilitate the solution to a variety of problems under the perfect model semantics.

Cyclic covers are shown to characterise view updates, and this yields a topยฑdown method for solving the view insertion problem via the computation of partially cyclic covers and a simple closure operation.

Weakly cyclic covers and cyclic trees are shown to yield methods of partially evaluating (i.e., pre-processing) the intensional database to facilitate query compilation, the identiยฎcation of redundant rules, the removal of recursion and the removal of positive or negative intensional sub-goals. Such pre-processing is immune to future changes in the extensional database.

The notion of a conjunctive answer to a database query is introduced. Such answers do not suer from the problems of redundancy as seen with (the more commonly studied) ``disjunctive'' answers. In addition, conjunctive answers yield more information about their query than do their disjunctive counterparts, and in particular the set of disjunctive answers can be computed from the set of conjunctive answers, whereas the converse does not hold. Cyclic covers are shown to characterise conjunctive answers, thus yielding a topยฑdown method of computing such answers. The problem of computing conjunctive answers is shown to be a special case of the view update problem.


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