On the representation of timed polyhedra
Identifieur interne : 00A590 ( Main/Merge ); précédent : 00A589; suivant : 00A591On the representation of timed polyhedra
Auteurs : O. Bournez [France] ; O. Maler [France]Source :
- Lecture notes in computer science [ 0302-9743 ] ; 2000.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
In this paper we investigate timed polyhedra, i.e. polyhedra which are finite unions of full dimensional simplices of a special kind. Such polyhedra form the basis of timing analysis and in particular of verification tools based on timed automata. We define a representation scheme for these polyhedra based on their extreme vertices, and show that this compact representation scheme is canonical for all (convex and non-convex) polyhedra in any dimension. We then develop relatively efficient algorithms for membership, boolean operations, projection and passage of time for this representation.
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: 000A26
- to stream PascalFrancis, to step Curation: 000056
- to stream PascalFrancis, to step Checkpoint: 000984
Links to Exploration step
Pascal:00-0454969Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">On the representation of timed polyhedra</title><author><name sortKey="Bournez, O" sort="Bournez, O" uniqKey="Bournez O" first="O." last="Bournez">O. Bournez</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>LORIA, Campus Scientifique BP 239</s1><s2>54506 Vandoeuvre lès Nancy</s2><s3>FRA</s3><sZ>1 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region><settlement type="city">Vandœuvre-lès-Nancy</settlement></placeName></affiliation></author><author><name sortKey="Maler, O" sort="Maler, O" uniqKey="Maler O" first="O." last="Maler">O. Maler</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>VERIMAG 2, av. de Vignate</s1><s2>38610 Gières</s2><s3>FRA</s3><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Rhône-Alpes</region><settlement type="city">Gières</settlement></placeName></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">00-0454969</idno><date when="2000">2000</date><idno type="stanalyst">PASCAL 00-0454969 INIST</idno><idno type="RBID">Pascal:00-0454969</idno><idno type="wicri:Area/PascalFrancis/Corpus">000A26</idno><idno type="wicri:Area/PascalFrancis/Curation">000056</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">000984</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000984</idno><idno type="wicri:doubleKey">0302-9743:2000:Bournez O:on:the:representation</idno><idno type="wicri:Area/Main/Merge">00A590</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">On the representation of timed polyhedra</title><author><name sortKey="Bournez, O" sort="Bournez, O" uniqKey="Bournez O" first="O." last="Bournez">O. Bournez</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>LORIA, Campus Scientifique BP 239</s1><s2>54506 Vandoeuvre lès Nancy</s2><s3>FRA</s3><sZ>1 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region><settlement type="city">Vandœuvre-lès-Nancy</settlement></placeName></affiliation></author><author><name sortKey="Maler, O" sort="Maler, O" uniqKey="Maler O" first="O." last="Maler">O. Maler</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>VERIMAG 2, av. de Vignate</s1><s2>38610 Gières</s2><s3>FRA</s3><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Rhône-Alpes</region><settlement type="city">Gières</settlement></placeName></affiliation></author></analytic><series><title level="j" type="main">Lecture notes in computer science</title><idno type="ISSN">0302-9743</idno><imprint><date when="2000">2000</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Lecture notes in computer science</title><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Automaton complexity</term><term>Boolean function</term><term>Computer theory</term><term>Formal verification</term><term>Hybrid system</term><term>Reachability analysis</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Informatique théorique</term><term>Analyse atteignabilité</term><term>Complexité automate</term><term>Vérification formelle</term><term>Fonction booléenne</term><term>Système hybride</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this paper we investigate timed polyhedra, i.e. polyhedra which are finite unions of full dimensional simplices of a special kind. Such polyhedra form the basis of timing analysis and in particular of verification tools based on timed automata. We define a representation scheme for these polyhedra based on their extreme vertices, and show that this compact representation scheme is canonical for all (convex and non-convex) polyhedra in any dimension. We then develop relatively efficient algorithms for membership, boolean operations, projection and passage of time for this representation.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Grand Est</li><li>Lorraine (région)</li><li>Rhône-Alpes</li></region><settlement><li>Gières</li><li>Vandœuvre-lès-Nancy</li></settlement></list><tree><country name="France"><region name="Grand Est"><name sortKey="Bournez, O" sort="Bournez, O" uniqKey="Bournez O" first="O." last="Bournez">O. Bournez</name></region><name sortKey="Maler, O" sort="Maler, O" uniqKey="Maler O" first="O." last="Maler">O. Maler</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 00A590 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 00A590 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Lorraine
|area= InforLorV4
|flux= Main
|étape= Merge
|type= RBID
|clé= Pascal:00-0454969
|texte= On the representation of timed polyhedra
}}
| This area was generated with Dilib version V0.6.33. |  |