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### Aggregations over Generalized Hypertree Decompositions [article]

Manas Joglekar, Rohan Puttagunta, Christopher Ré
<span title="2015-12-10">2015</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The second class of our contributions is a pair of complete characterizations of (1) the set of orderings equivalent to a given ordering and (2) the set of GHDs compatible with some equivalent ordering  ...  Our extensions to the standard techniques are a pair of simple tests that (1) determine if two orderings of aggregation operators are equivalent and (2) determine if a GHD is compatible with a given ordering  ...  Fun with semirings: A functional pearl on the abuse of linear algebra. Recall E C = {E ∈ E|E ∩ C = ∅}.  ...
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