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Parametric Random Generation of Deterministic Tree Automata

Identifieur interne : 002E78 ( Main/Exploration ); précédent : 002E77; suivant : 002E79

Parametric Random Generation of Deterministic Tree Automata

Auteurs : Pierre-Cyrille Heam [France] ; Cyril Nicaud [France] ; Sylvain Schmitz [France]

Source :

RBID : Hal:hal-00561274

Abstract

Uniform random generators deliver a simple empirical means to estimate the average complexity of an algorithm. We present a general rejection algorithm that generates sequential letter-to-letter transducers up to isomorphism. We also propose an original parametric random generation algorithm to produce sequential letter-to-letter transducers with a fixed number of transitions. We tailor this general scheme to randomly generate deterministic tree walking automata and deterministic top-down tree automata. We apply our implementation of the generator to the estimation of the average complexity of a deterministic tree walking automata to nondeterministic top-down tree automata construction we also implemented.

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Le document en format XML

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<name sortKey="Nicaud, Cyril" sort="Nicaud, Cyril" uniqKey="Nicaud C" first="Cyril" last="Nicaud">Cyril Nicaud</name>
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<addrLine>Université de Paris-Est - Marne-la-Vallée, Cité Descartes, Bâtiment Copernic, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2, Inst Gaspard Monge</addrLine>
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<name sortKey="Schmitz, Sylvain" sort="Schmitz, Sylvain" uniqKey="Schmitz S" first="Sylvain" last="Schmitz">Sylvain Schmitz</name>
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<orgName>Laboratoire Spécification et Vérification [Cachan]</orgName>
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<addrLine>Bâtiment d'Alembert 61 Avenue du Président Wilson 94235 CACHAN CEDEX</addrLine>
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<addrLine>61, avenue du Président Wilson - 94230 Cachan</addrLine>
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<country>France</country>
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<series>
<title level="j">Theoretical Computer Science</title>
<idno type="ISSN">0304-3975</idno>
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<date type="datePub">2010</date>
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<front>
<div type="abstract" xml:lang="en">Uniform random generators deliver a simple empirical means to estimate the average complexity of an algorithm. We present a general rejection algorithm that generates sequential letter-to-letter transducers up to isomorphism. We also propose an original parametric random generation algorithm to produce sequential letter-to-letter transducers with a fixed number of transitions. We tailor this general scheme to randomly generate deterministic tree walking automata and deterministic top-down tree automata. We apply our implementation of the generator to the estimation of the average complexity of a deterministic tree walking automata to nondeterministic top-down tree automata construction we also implemented.</div>
</front>
</TEI>
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<country>
<li>France</li>
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<region>
<li>Franche-Comté</li>
<li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement>
<li>Belfort</li>
<li>Besançon</li>
<li>Nancy</li>
</settlement>
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<li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Bourgogne Franche-Comté</li>
<li>Université de Franche-Comté</li>
<li>Université de Lorraine</li>
<li>Université de technologie de Belfort-Montbéliard</li>
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<name sortKey="Heam, Pierre Cyrille" sort="Heam, Pierre Cyrille" uniqKey="Heam P" first="Pierre-Cyrille" last="Heam">Pierre-Cyrille Heam</name>
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<name sortKey="Nicaud, Cyril" sort="Nicaud, Cyril" uniqKey="Nicaud C" first="Cyril" last="Nicaud">Cyril Nicaud</name>
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