Normalizable Horn Clauses, Strongly Recognizable Relations, and Spi
Identifieur interne : 001C40 ( Main/Curation ); précédent : 001C39; suivant : 001C41Normalizable Horn Clauses, Strongly Recognizable Relations, and Spi
Auteurs : Flemming Nielson [Danemark] ; Hanne Riis Nielson [Danemark] ; Helmut Seidl [Allemagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2002.
Descripteurs français
- Pascal (Inist)
English descriptors
Abstract
Abstract: We exhibit a rich class of Horn clauses, which we call $$ \mathcal{H}_{\text{1}} $$ , whose least models, though possibly infinite, can be computed effectively. We show that the least model of an $$ \mathcal{H}_{\text{1}} $$ clause consists of so-called strongly recognizable relations and present an exponential normalization procedure to compute it. In order to obtain a practical tool for program analysis, we identify a restriction of $$ \mathcal{H}_{\text{1}} $$ clauses, which we call $$ \mathcal{H}_{\text{2}} $$ , where the least models can be computed in polynomial time. This fragment still allows to express, e.g., Cartesian product and transitive closure of relations. Inside $$ \mathcal{H}_{\text{2}} $$ , we exhibit a fragment $$ \mathcal{H}_{\text{3}} $$ where normalization is even cubic. We demonstrate the usefulness of our approach by deriving a cubic control-flow analysis for the Spi calculus [1] as presented in [14].
Url:
DOI: 10.1007/3-540-45789-5_5
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We show that the least model of an $$ \mathcal{H}_{\text{1}} $$ clause consists of so-called strongly recognizable relations and present an exponential normalization procedure to compute it. In order to obtain a practical tool for program analysis, we identify a restriction of $$ \mathcal{H}_{\text{1}} $$ clauses, which we call $$ \mathcal{H}_{\text{2}} $$ , where the least models can be computed in polynomial time. This fragment still allows to express, e.g., Cartesian product and transitive closure of relations. Inside $$ \mathcal{H}_{\text{2}} $$ , we exhibit a fragment $$ \mathcal{H}_{\text{3}} $$ where normalization is even cubic. 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We demonstrate the usefulness of our approach by deriving a cubic control-flow analysis for the Spi calculus [1] as presented in [14].</div></front></TEI></INIST><ISTEX><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Normalizable Horn Clauses, Strongly Recognizable Relations, and Spi</title><author><name sortKey="Nielson, Flemming" sort="Nielson, Flemming" uniqKey="Nielson F" first="Flemming" last="Nielson">Flemming Nielson</name></author><author><name sortKey="Nielson, Hanne Riis" sort="Nielson, Hanne Riis" uniqKey="Nielson H" first="Hanne Riis" last="Nielson">Hanne Riis Nielson</name></author><author><name sortKey="Seidl, Helmut" sort="Seidl, Helmut" uniqKey="Seidl H" first="Helmut" last="Seidl">Helmut Seidl</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:86E718368D98B82C7571E0E8936C2D6F2896A139</idno><date when="2002" year="2002">2002</date><idno type="doi">10.1007/3-540-45789-5_5</idno><idno type="url">https://api.istex.fr/document/86E718368D98B82C7571E0E8936C2D6F2896A139/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001454</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001454</idno><idno type="wicri:Area/Istex/Curation">001342</idno><idno type="wicri:Area/Istex/Checkpoint">000B49</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000B49</idno><idno type="wicri:doubleKey">0302-9743:2002:Nielson F:normalizable:horn:clauses</idno><idno type="wicri:Area/Main/Merge">001E89</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Normalizable Horn Clauses, Strongly Recognizable Relations, and Spi</title><author><name sortKey="Nielson, Flemming" sort="Nielson, Flemming" uniqKey="Nielson F" first="Flemming" last="Nielson">Flemming Nielson</name><affiliation wicri:level="1"><country xml:lang="fr">Danemark</country><wicri:regionArea>Informatics and Mathematical Modelling, Technical University of Denmark, DK-2800, Kongens Lyngby</wicri:regionArea><wicri:noRegion>Kongens Lyngby</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Danemark</country></affiliation></author><author><name sortKey="Nielson, Hanne Riis" sort="Nielson, Hanne Riis" uniqKey="Nielson H" first="Hanne Riis" last="Nielson">Hanne Riis Nielson</name><affiliation wicri:level="1"><country xml:lang="fr">Danemark</country><wicri:regionArea>Informatics and Mathematical Modelling, Technical University of Denmark, DK-2800, Kongens Lyngby</wicri:regionArea><wicri:noRegion>Kongens Lyngby</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Danemark</country></affiliation></author><author><name sortKey="Seidl, Helmut" sort="Seidl, Helmut" uniqKey="Seidl H" first="Helmut" last="Seidl">Helmut Seidl</name><affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country><wicri:regionArea>Universität Trier, FB IV - Informatik, D-54286, Trier</wicri:regionArea><wicri:noRegion>54286, Trier</wicri:noRegion><wicri:noRegion>Trier</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Allemagne</country></affiliation></author></analytic><monogr></monogr><series><title level="s">Lecture Notes in Computer Science</title><imprint><date>2002</date></imprint><idno type="ISSN">0302-9743</idno><idno type="ISSN">0302-9743</idno></series><idno type="istex">86E718368D98B82C7571E0E8936C2D6F2896A139</idno><idno type="DOI">10.1007/3-540-45789-5_5</idno><idno type="ChapterID">5</idno><idno type="ChapterID">Chap5</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We exhibit a rich class of Horn clauses, which we call $$ \mathcal{H}_{\text{1}} $$ , whose least models, though possibly infinite, can be computed effectively. We show that the least model of an $$ \mathcal{H}_{\text{1}} $$ clause consists of so-called strongly recognizable relations and present an exponential normalization procedure to compute it. In order to obtain a practical tool for program analysis, we identify a restriction of $$ \mathcal{H}_{\text{1}} $$ clauses, which we call $$ \mathcal{H}_{\text{2}} $$ , where the least models can be computed in polynomial time. This fragment still allows to express, e.g., Cartesian product and transitive closure of relations. Inside $$ \mathcal{H}_{\text{2}} $$ , we exhibit a fragment $$ \mathcal{H}_{\text{3}} $$ where normalization is even cubic. We demonstrate the usefulness of our approach by deriving a cubic control-flow analysis for the Spi calculus [1] as presented in [14].</div></front></TEI></ISTEX></double></record>Pour manipuler ce document sous Unix (Dilib)
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