Equivalences among aggregate queries with negation

Sara Cohen, Yehoshua Sagiv, Werner Nutt

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


Query equivalence is investigated for disjunctive aggregate queries with negated subgoals, constants and comparisons. A full characterization of equivalence is given for the aggregation functions count, max, sum, prod, top2 and parity. A related problem is that of determining, for a given natural number N, whether two given queries are equivalent over all databases with at most N constants. This problem is called bounded equivalence. A complete characterization of decidability of bounded equivalence is given. In particular, it is shown that this problem is decidable for all the above aggregation functions as well as for cntd (count distinct) and avg. For quasilinear queries (i.e., queries in which predicates that occur positively are not repeated), it is shown that equivalence can be decided in polynomial time for the aggregation functions count, max, sum, parity, prod, top2 and avg. A similar result holds for cntd provided that a few additional conditions hold. The results are couched in terms of abstract characteristics of aggregation functions, and new proof techniques are used. Finally, the results above also imply that equivalence, under bag-set semantics, is decidable for nonaggregate queries with negation. © 2005 ACM.

Original languageEnglish
Pages (from-to)328-360
Number of pages33
JournalACM Transactions on Computational Logic
Issue number2
Publication statusPublished - Apr 2005


  • Aggregation
  • Datalog
  • Negation
  • Query equivalence


Dive into the research topics of 'Equivalences among aggregate queries with negation'. Together they form a unique fingerprint.

Cite this