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    Professor / rvr@dcc.fc.up.pt

    CS Department, Science Faculty, Porto University

    On the performance of automata minimization algorithms

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    There are several well known algorithms to minimize deterministic finite automata. Apart from the theoretical worst-case running time analysis, however, not much is known about the average-case analysis or practical performance of each of these algorithms. On this paper we compare three minimization algorithms based on experimental results. The choice of the algorithms was based on the fact that although having different worst-case complexities they are usually considered to be ones that achieve best performance. We used an uniform random generator of (initially-connected) deterministic finite automata for the input data, and thus our results are statistically accurate. Because one of the algorithms allowed to minimize non-deterministic finite automata (NFA), we also developed a non-uniform random generator for NFAs. Nevertheless, although not statistically significant, the results in this case are fairly interesting.

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    Description

    Title : On the performance of automata minimization algorithms
    Author(s) : Marco Almeida, Nelma Moreira, Rogério Reis
    Abstract : There are several well known algorithms to minimize deterministic finite automata. Apart from the theoretical worst-case running time analysis, however, not much is known about the average-case analysis or practical performance of each of these algorithms. On this paper we compare three minimization algorithms based on experimental results. The choice of the algorithms was based on the fact that although having different worst-case complexities they are usually considered to be ones that achieve best performance. We used an uniform random generator of (initially-connected) deterministic finite automata for the input data, and thus our results are statistically accurate. Because one of the algorithms allowed to minimize non-deterministic finite automata (NFA), we also developed a non-uniform random generator for NFAs. Nevertheless, although not statistically significant, the results in this case are fairly interesting.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2007

    Affiliations CS Department, Science Faculty, Porto University
    Editors : Arnold Beckmann, Costas Dimitracopoulos, Benedikt Löwe
    Journal : Logic and Theory of Algorithms
    Issue : DCC-2007-03
    Publisher : Citeseer
    Pages : 3
    Url : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.65.4680

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