19 research outputs found

    Efficient and Elegant Subword-Tree Construction

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    A clean version of Weiner's linear-time compact-subword-tree construclion simultaneously constructs the smallest deterministic finite automaton recognizing the reverse subwords

    An Information-Theoretic Approach toTime Bounds for On-Line Computation

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    Introduction Static, descriptional complexity (program size) [16, 9] can be used to obtain lower bounds on dynamic, computational complexity (such as running time). We describe and discuss this "information-theoretic approach" in the following section. Paul introduced it in [13], to obtain restricted lower bounds on the time complexity of sorting. We use the approach here to obtain lower time bounds for on-line simulation of one abstract storage unit by another. A major goal of our work is to promote the approach...

    A note on prefixes of regular languages

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    An Ω (n log n) Lower Bound for a Restricted Form of On-Line Labeling Algorithm

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    Under the Normalization Assumption on the algorithms, the labeling problem has a lower bound Ω(nlog n). This is proved by a mechanism dividing the label intervals into a list of collections whose corresponding costs are bounded from below by a suitably chosen function

    Milking the Aanderaa Argument

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    In the early 1970's, by an intricate and involved counting argument, Stål Aanderaa managed to show for the first time that every additional tape adds to the power of a Turing machine that operates in real time. This was a full decade after Rabin had shown that the second tape adds power. With time, especially following the introduction of an information-theoretic approach based on Kolmogorov's notion of descriptional complexity, Aanderaa's argument has become better understood, and even extended to new results. In this paper, we present a clean version of the argument and some new extensions

    Computer Science and Engineering Research Riview 1980-1981

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    Table of Contents: Experiences with the Generalized Hough Transform / K. R. Sloan, D. H. Ballard p. 3; The Rochester Natural Language Understanding Project, / J. F. Allen p. 9; An Information-Theoretic Approach to Time Bounds for On·Line Computation / W.J. Paul, J.I. Seiferas, J. Simon p. 17; Publications p. 28; Seminars p. 31; Grant Support p. 32
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