Measuring Infinite Relations (1995) [21 citations — 4 self]
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by Gabriel Kuper
In ACM Symposium on Principles of Database Systems
http://hawkmail.monmouth.edu/~jchomick/papers-pods95.ps.Z
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@INPROCEEDINGS{Kuper95measuringinfinite,author = {Gabriel Kuper},
title = {Measuring Infinite Relations},
booktitle = {In ACM Symposium on Principles of Database Systems},
year = {1995},
pages = {78--85}
}
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Abstract:
We define a new aggregation operator ��n for constraint databases that makes it possible to measure infinite subsets of the n-dimensional space defined by constraints. We show that it is well defined for real linear arithmetic constraints and integer linear arithmetic constraints together with periodicity constraints. We also show that relational algebra augmented with ��n is closed in the real case and, under certain restrictions, in the integer case as well. 1
