Implementing Non-Linear Constraints with Cooperative Solvers
Identifieur interne : 002969 ( Hal/Curation ); précédent : 002968; suivant : 002970Implementing Non-Linear Constraints with Cooperative Solvers
Auteurs : Eric Monfroy [France] ; Michaël Rusinowitch [France] ; René SchottSource :
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Abstract
We investigate the use of cooperation between solvers in the scheme of constraint logic programming languages over the domain of non-linear polynomial constraints. Instead of using a general and often inefficient decision procedure we propose a new approach for handling these constraints by cooperating specialised solvers. Our approach requires the design of a client/server architecture to enable communication between the various components. The main modules are a linear solver, a non-linear solver, a constraint manager, a communication protocol component and an answer processor module. This work is motivated by the need for a declarative system for robot motion planning and geometric problem solving. We have implemented a prototype called \groak %({\bf \sf C\raisebox{.2ex}o}nstraint {\bf \sf S}ystem {\bf \sf %A}r{\bf \sf \raisebox{.2ex}c}hitecture) (\textbf{\textsf C}\raisebox{.2ex}{\textbf{\textsfo}}nstraint \textbf{\textsfS}ystem \textbf{\textsfA}r\raisebox{.2ex}{\textbf{\textsfc}}hit- ecture) to validate our approach using cooperating solvers for non-linear constraints over the real numbers. Our language is illustrated by an example that also shows the advantages of cooperation.
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type="university">Université Nancy 2</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName></affiliation></author><author><name sortKey="Schott, Rene" sort="Schott, Rene" uniqKey="Schott R" first="René" last="Schott">René Schott</name></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>constraint solving</term><term>cooperation</term><term>integration</term><term>non-linear constraint</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We investigate the use of cooperation between solvers in the scheme of constraint logic programming languages over the domain of non-linear polynomial constraints. Instead of using a general and often inefficient decision procedure we propose a new approach for handling these constraints by cooperating specialised solvers. Our approach requires the design of a client/server architecture to enable communication between the various components. The main modules are a linear solver, a non-linear solver, a constraint manager, a communication protocol component and an answer processor module. This work is motivated by the need for a declarative system for robot motion planning and geometric problem solving. We have implemented a prototype called \groak %({\bf \sf C\raisebox{.2ex}o}nstraint {\bf \sf S}ystem {\bf \sf %A}r{\bf \sf \raisebox{.2ex}c}hitecture) (\textbf{\textsf C}\raisebox{.2ex}{\textbf{\textsfo}}nstraint \textbf{\textsfS}ystem \textbf{\textsfA}r\raisebox{.2ex}{\textbf{\textsfc}}hit- ecture) to validate our approach using cooperating solvers for non-linear constraints over the real numbers. Our language is illustrated by an example that also shows the advantages of cooperation.</div></front></TEI><hal api="V3"><titleStmt><title xml:lang="en">Implementing Non-Linear Constraints with Cooperative Solvers</title><author role="aut"><persName><forename type="first">Eric</forename><surname>Monfroy</surname></persName><email></email><idno type="halauthor">52211</idno><affiliation ref="#struct-2360"></affiliation></author><author role="aut"><persName><forename type="first">Michaël</forename><surname>Rusinowitch</surname></persName><email></email><idno type="idhal">michael-rusinowitch</idno><idno type="halauthor">61798</idno><affiliation ref="#struct-2360"></affiliation></author><author role="aut"><persName><forename type="first">René</forename><surname>Schott</surname></persName><email></email><idno type="halauthor">52507</idno></author><editor role="depositor"><persName><forename>Rapport De Recherche</forename><surname>Inria</surname></persName><email>rrrt-editeurs@inria.fr</email></editor></titleStmt><editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2006-05-24 14:08:26</date><date type="whenWritten">1995</date><date type="whenModified">2016-05-19 01:09:26</date><date type="whenReleased">2006-05-31 14:24:28</date><date type="whenProduced">1995</date><date type="whenEndEmbargoed">2006-05-24</date><ref type="file" target="https://hal.inria.fr/inria-00073945/document"><date notBefore="2006-05-24"></date></ref><ref type="file" n="1" target="https://hal.inria.fr/inria-00073945/file/RR-2747.pdf"><date notBefore="2006-05-24"></date></ref></edition><respStmt><resp>contributor</resp><name key="111068"><persName><forename>Rapport De Recherche</forename><surname>Inria</surname></persName><email>rrrt-editeurs@inria.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">inria-00073945</idno><idno type="halUri">https://hal.inria.fr/inria-00073945</idno><idno type="halBibtex">monfroy:inria-00073945</idno><idno type="halRefHtml">[Research Report] RR-2747, INRIA. 1995, pp.22</idno><idno type="halRef">[Research Report] RR-2747, INRIA. 1995, pp.22</idno></publicationStmt><seriesStmt><idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="INRIA-RRRT">Rapports de recherche et Technique de l'Inria</idno><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno><idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</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-FM" p="LORIA">Méthodes formelles</idno><idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</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="LABO-LORIA-SET" p="LORIA">LABO-LORIA-SET</idno></seriesStmt><notesStmt><note type="audience" n="0">Not set</note><note type="report" n="6">Research Report</note></notesStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Implementing Non-Linear Constraints with Cooperative Solvers</title><author role="aut"><persName><forename type="first">Eric</forename><surname>Monfroy</surname></persName><idno type="halAuthorId">52211</idno><affiliation ref="#struct-2360"></affiliation></author><author role="aut"><persName><forename type="first">Michaël</forename><surname>Rusinowitch</surname></persName><idno type="idHal">michael-rusinowitch</idno><idno type="halAuthorId">61798</idno><affiliation ref="#struct-2360"></affiliation></author><author role="aut"><persName><forename type="first">René</forename><surname>Schott</surname></persName><idno type="halAuthorId">52507</idno></author></analytic><monogr><idno type="reportNumber">RR-2747</idno><imprint><biblScope unit="pp">22</biblScope><date type="datePub">1995</date></imprint><authority type="institution">INRIA</authority></monogr></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="en">constraint solving</term><term xml:lang="en">non-linear constraint</term><term xml:lang="en">cooperation</term><term xml:lang="en">integration</term></keywords><classCode scheme="halDomain" n="info.info-oh">Computer Science [cs]/Other [cs.OH]</classCode><classCode scheme="halTypology" n="REPORT">Reports</classCode></textClass><abstract xml:lang="en">We investigate the use of cooperation between solvers in the scheme of constraint logic programming languages over the domain of non-linear polynomial constraints. Instead of using a general and often inefficient decision procedure we propose a new approach for handling these constraints by cooperating specialised solvers. Our approach requires the design of a client/server architecture to enable communication between the various components. The main modules are a linear solver, a non-linear solver, a constraint manager, a communication protocol component and an answer processor module. This work is motivated by the need for a declarative system for robot motion planning and geometric problem solving. We have implemented a prototype called \groak %({\bf \sf C\raisebox{.2ex}o}nstraint {\bf \sf S}ystem {\bf \sf %A}r{\bf \sf \raisebox{.2ex}c}hitecture) (\textbf{\textsf C}\raisebox{.2ex}{\textbf{\textsfo}}nstraint \textbf{\textsfS}ystem \textbf{\textsfA}r\raisebox{.2ex}{\textbf{\textsfc}}hit- ecture) to validate our approach using cooperating solvers for non-linear constraints over the real numbers. Our language is illustrated by an example that also shows the advantages of cooperation.</abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
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