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Verifying identities

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2 Author(s)
Rajagopalan, S. ; Princeton Univ., NJ, USA ; Schulman, L.J.

The authors provide an O˜(n2) time randomized algorithm to check whether a given operation f:S×S→S is associative (letting n=|S|). They prove this performance is optimal (up to polylogarithmic factors) even in case the operation is “cancellative”. No sub-n3 algorithm was previously known for this task. More generally they give an O(nc ) time randomized algorithm to check whether a collection of c-ary operations satisfy any given “read-once” identity

Published in:

Foundations of Computer Science, 1996. Proceedings., 37th Annual Symposium on

Date of Conference:

14-16 Oct 1996