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union-find algorithm

Theory and Practice of Logic Programming (1)

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Optimal union-find in Constraint Handling Rules
TOM SCHRIJVERS, THOM FRÜHWIRTH
Journal:

Theory and Practice of Logic Programming / Volume 6 / Issue 1-2 / January 2006

Published online by Cambridge University Press:

27 January 2006, pp. 213-224
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Constraint Handling Rules (CHR) is a committed-choice rule-based language that was originally intended for writing constraint solvers. In this paper we show that it is also possible to write the classic union-find algorithm and variants in CHR. The programs neither compromise in declarativeness nor efficiency. We study the time complexity of our programs: they match the almost-linear complexity of the best known imperative implementations. This fact is illustrated with experimental results.