Abstract

An O( log log m) time n log m log log m - processor CRCW-PRAM algorithm for the string prefix-matching problem over general alphabets is presented. The algorithm can also be used to compute the KMP failure function in O( log log m) time on m log m log log m processors. These results improve on the running time of the best previous algorithm for both problems, which was O( log m), while preserving the same number of operations.

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