Complexity Information Flow in a Multi-threaded Imperative Language
Identifieur interne : 001694 ( Hal/Corpus ); précédent : 001693; suivant : 001695Complexity Information Flow in a Multi-threaded Imperative Language
Auteurs : Jean-Yves Marion ; Romain PéchouxSource :
English descriptors
Abstract
We propose a type system to analyze the time consumed by multi-threaded imperative programs with a shared global memory, which delineates a class of safe multi-threaded programs. We demonstrate that a safe multi-threaded program runs in polynomial time if (i) it is strongly terminating wrt a non-deterministic scheduling policy or (ii) it terminates wrt a deterministic and quiet scheduling policy. As a consequence, we also characterize the set of polynomial time functions. The type system presented is based on the fundamental notion of data tiering, which is central in implicit computational complexity. It regulates the information flow in a computation. This aspect is interesting in that the type system bears a resemblance to typed based information flow analysis and notions of non-interference. As far as we know, this is the first characterization by a type system of polynomial time multi-threaded programs.
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<front><div type="abstract" xml:lang="en">We propose a type system to analyze the time consumed by multi-threaded imperative programs with a shared global memory, which delineates a class of safe multi-threaded programs. We demonstrate that a safe multi-threaded program runs in polynomial time if (i) it is strongly terminating wrt a non-deterministic scheduling policy or (ii) it terminates wrt a deterministic and quiet scheduling policy. As a consequence, we also characterize the set of polynomial time functions. The type system presented is based on the fundamental notion of data tiering, which is central in implicit computational complexity. It regulates the information flow in a computation. This aspect is interesting in that the type system bears a resemblance to typed based information flow analysis and notions of non-interference. As far as we know, this is the first characterization by a type system of polynomial time multi-threaded programs.</div>
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<idno type="halRef">[Research Report] 2012, pp.16</idno>
</publicationStmt>
<seriesStmt><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
<idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
<idno type="stamp" n="LORIA2">Publications du LORIA</idno>
<idno type="stamp" n="INRIA-NANCY-GRAND-EST">INRIA Nancy - Grand Est</idno>
<idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno>
<idno type="stamp" n="LORIA-FM" p="LORIA">Méthodes formelles</idno>
<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
<idno type="stamp" n="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno>
<idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
</seriesStmt>
<notesStmt><note type="audience" n="1">Not set</note>
<note type="report" n="6">Research Report</note>
</notesStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Complexity Information Flow in a Multi-threaded Imperative Language</title>
<author role="aut"><persName><forename type="first">Jean-Yves</forename>
<surname>Marion</surname>
</persName>
<idno type="halAuthorId">63968</idno>
<affiliation ref="#struct-29797"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Romain</forename>
<surname>Péchoux</surname>
</persName>
<email>romain.pechoux@loria.fr</email>
<ptr type="url" target="http://www.loria.fr/~pechoux/"></ptr>
<idno type="halAuthorId">708850</idno>
<affiliation ref="#struct-29797"></affiliation>
</author>
</analytic>
<monogr><imprint><biblScope unit="pp">16</biblScope>
<date type="datePub">2012-03-01</date>
</imprint>
</monogr>
<idno type="arxiv">1203.6878</idno>
</biblStruct>
</sourceDesc>
<profileDesc><langUsage><language ident="en">English</language>
</langUsage>
<textClass><keywords scheme="author"><term xml:lang="en">Ptime characterization</term>
<term xml:lang="en">ICC</term>
<term xml:lang="en">tiering</term>
<term xml:lang="en">non-interference</term>
<term xml:lang="en">imperative language</term>
</keywords>
<classCode scheme="acm" n="F.1.3.1"></classCode>
<classCode scheme="halDomain" n="info.info-cc">Computer Science [cs]/Computational Complexity [cs.CC]</classCode>
<classCode scheme="halTypology" n="REPORT">Reports</classCode>
</textClass>
<abstract xml:lang="en">We propose a type system to analyze the time consumed by multi-threaded imperative programs with a shared global memory, which delineates a class of safe multi-threaded programs. We demonstrate that a safe multi-threaded program runs in polynomial time if (i) it is strongly terminating wrt a non-deterministic scheduling policy or (ii) it terminates wrt a deterministic and quiet scheduling policy. As a consequence, we also characterize the set of polynomial time functions. The type system presented is based on the fundamental notion of data tiering, which is central in implicit computational complexity. It regulates the information flow in a computation. This aspect is interesting in that the type system bears a resemblance to typed based information flow analysis and notions of non-interference. As far as we know, this is the first characterization by a type system of polynomial time multi-threaded programs.</abstract>
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