Publication 1995 Issue No. 6 - December Abstract - Using Constraints for Efficient Query Processing in Nondeterministic Databases
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Using Constraints for Efficient Query Processing in Nondeterministic Databases
December 1995 (vol. 7 no. 6)
pp. 850-864
 ASCII Text x Kumar Vadaparty, Shamim Naqvi, "Using Constraints for Efficient Query Processing in Nondeterministic Databases," IEEE Transactions on Knowledge and Data Engineering, vol. 7, no. 6, pp. 850-864, December, 1995.
 BibTex x @article{ 10.1109/69.476493,author = {Kumar Vadaparty and Shamim Naqvi},title = {Using Constraints for Efficient Query Processing in Nondeterministic Databases},journal ={IEEE Transactions on Knowledge and Data Engineering},volume = {7},number = {6},issn = {1041-4347},year = {1995},pages = {850-864},doi = {http://doi.ieeecomputersociety.org/10.1109/69.476493},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Knowledge and Data EngineeringTI - Using Constraints for Efficient Query Processing in Nondeterministic DatabasesIS - 6SN - 1041-4347SP850EP864EPD - 850-864A1 - Kumar Vadaparty, A1 - Shamim Naqvi, PY - 1995KW - Nondeterministic dataKW - constraintsKW - efficiency of query processing.VL - 7JA - IEEE Transactions on Knowledge and Data EngineeringER -

Abstract—Nondeterministic databases store disjunctive data using OR-objects. For example, data such as “Part#1 is implementable using Nickel or Cobalt” is stored as Implement(Part#1, o1) where Dom(o1) ={Nickel, Cobalt}; is the domain of the OR-object o1. A possible world of a database is obtained by replacing every OR-object by a member from its domain, and it is said to be conforming if it satisfies all the FDs (functional dependencies) associated with the database. A database D is said to fully incorporate a set $\left\{\cal F\right\}$ of FDs if every possible world of D is conforming. This paper studies the problem of preprocessing databases to achieve full incorporation, and also the problem of incrementally maintaining a database fully incorporated under insertions and deletions.

We first define a certain property called goodness of a class $\left\{\cal D\right\}$ of databases for a set $\left\{\cal F\right\}$ of FDs; goodness can be tested efficiently and enforced easily at schema design time.

For any class $\left\{\cal D\right\}$ of databases that is good for $\left\{\cal F\right\}$, we present: 1) a quadratic time algorithm for fully incorporating $\left\{\cal F\right\}$, 2) efficient algorithms for maintaining full incorporation under updates, and 3) lower-bounds for the algorithms of 1) and 2). Next, we show that, for classes of databases that are not good, the problem of full incorporation is, in general, coNP-complete. We also examine the complexity when OR-objects are restricted to have no more than two members, and obtain some interesting tractable algorithms, and intractability results.

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Index Terms:
Nondeterministic data, constraints, efficiency of query processing.
Citation:
Kumar Vadaparty, Shamim Naqvi, "Using Constraints for Efficient Query Processing in Nondeterministic Databases," IEEE Transactions on Knowledge and Data Engineering, vol. 7, no. 6, pp. 850-864, Dec. 1995, doi:10.1109/69.476493