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- W4299652092 abstract "Given a pattern string of length m for the string-matching problem, we design an algorithm that computes deterministic samples of a sufficiently long substring of the pattern in constant time. This problem used to be the bottleneck in the pattern preprocessing for one- and two-dimensional pattern matching. The best previous time bound was O(log2m / log log m). We use this algorithm to obtain the following results (all algorithms below are optimal parallel algorithms on a CRCW PRAM): a deterministic string-matching algorithm which takes O(log log m) time for preprocessing and constant time for text search, which are the best possible in both preprocessing and text search; a constant-time deterministic string-matching algorithm in the case where the text length n satisfies $n=Omega(m^{1+epsilon})$ for a constant $epsilon > 0$; a simple string-matching algorithm that has constant time with high probability for random input; the main result: a constant-expected-time Las Vegas algorithm for computing the period of the pattern and all witnesses and thus for string matching itself; in both cases, an $Omega(loglog m)$ lower bound is known for deterministic algorithms." @default.
- W4299652092 created "2022-10-02" @default.
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- W4299652092 date "1997-08-01" @default.
- W4299652092 modified "2023-10-09" @default.
- W4299652092 title "Constant-Time Randomized Parallel String Matching" @default.
- W4299652092 doi "https://doi.org/10.1137/s009753979528007x" @default.
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