Titlebook: Computing for Comparative Microbial Genomics; Bioinformatics for M David W. Ussery,Trudy M. Wassenaar,Stefano Borini Textbook 2009 Springer

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Ross M. MullnerWe study the problem of efficiently correcting an erroneous product of two . matrices over a ring. We provide a randomized algorithm for correcting a matrix product with . erroneous entries running in . time and a deterministic .-time algorithm for this problem (where the notation . suppresses polylogarithmic terms in . and .).

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Let . and . be finite monoids. We want to use . somehow as a computational device that reads a sequence of inputs from . and outputs the product, in ., of this sequence. We ask what relation . must have to . for this to be possible; that is, when can . simulate .

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