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arXiv · 2503.13694

Branch Prediction Analysis of Morris-Pratt and Knuth-Morris-Pratt Algorithms

Cyril Nicaud·Carine Pivoteau·Stéphane Vialette
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Abstract

We analyze the classical Morris-Pratt and Knuth-Morris-Pratt pattern matching algorithms through the lens of computer architecture, investigating the impact of incorporating a simple branch prediction mechanism into the model of computation. Assuming a fixed pattern and a random text, we derive precise estimates of the number of mispredictions these algorithms produce using local predictors. Our approach is based on automata theory and Markov chains, providing a foundation for the theoretical analysis of other text algorithms and more advanced branch prediction strategies.

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Cyril Nicaud, Carine Pivoteau, Stéphane Vialette. 2025-03-17. Branch Prediction Analysis of Morris-Pratt and Knuth-Morris-Pratt Algorithms. https://arxiv.org/abs/2503.13694

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