{"id":"https://openalex.org/W4402665505","doi":"https://doi.org/10.3233/fi-242197","title":"On the Complexity of Proving Polyhedral Reductions","display_name":"On the Complexity of Proving Polyhedral Reductions","publication_year":2024,"publication_date":"2024-09-20","ids":{"openalex":"https://openalex.org/W4402665505","doi":"https://doi.org/10.3233/fi-242197"},"language":"en","primary_location":{"id":"doi:10.3233/fi-242197","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-242197","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://laas.hal.science/hal-04712076/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058121801","display_name":"Nicolas Amat","orcid":"https://orcid.org/0000-0002-5969-7346"},"institutions":[{"id":"https://openalex.org/I4210162154","display_name":"IMDEA Software Institute","ror":"https://ror.org/04xvfkh51","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I4210162154"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Nicolas Amat","raw_affiliation_strings":["IMDEA Software Institute, Madrid, Spain. nicolas.amat@imdea.org"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMDEA Software Institute, Madrid, Spain. nicolas.amat@imdea.org","institution_ids":["https://openalex.org/I4210162154"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022722845","display_name":"Silvano Dal Zilio","orcid":"https://orcid.org/0000-0002-6002-2696"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Silvano Dal Zilio","raw_affiliation_strings":["LAAS-CNRS, Universit\u00e9 de Toulouse, INSA, CNRS, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAAS-CNRS, Universit\u00e9 de Toulouse, INSA, CNRS, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I1294671590","https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053551176","display_name":"Didier Le Botlan","orcid":"https://orcid.org/0000-0002-6457-2740"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Didier Le Botlan","raw_affiliation_strings":["LAAS-CNRS, Universit\u00e9 de Toulouse, INSA, CNRS, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAAS-CNRS, Universit\u00e9 de Toulouse, INSA, CNRS, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I1294671590","https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058121801"],"corresponding_institution_ids":["https://openalex.org/I4210162154"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12797956,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"192","issue":"3-4","first_page":"363","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9775999784469604,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9575999975204468,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4344083368778229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3877442181110382},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33704179525375366},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32364246249198914}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4344083368778229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3877442181110382},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33704179525375366},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32364246249198914}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/fi-242197","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-242197","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"doi:10.46298/.12854","is_oa":false,"landing_page_url":"https://doi.org/10.46298/.12854","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04712076v1","is_oa":true,"landing_page_url":"https://laas.hal.science/hal-04712076","pdf_url":"https://laas.hal.science/hal-04712076/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://content.iospress.com/articles/fundamenta-informaticae/fi242197","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04712076v1","is_oa":true,"landing_page_url":"https://laas.hal.science/hal-04712076","pdf_url":"https://laas.hal.science/hal-04712076/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://content.iospress.com/articles/fundamenta-informaticae/fi242197","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402665505.pdf","grobid_xml":"https://content.openalex.org/works/W4402665505.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,127],"propose":[1],"an":[2,47,62],"automated":[3,48],"procedure":[4],"to":[5,45,54,60,67,103],"prove":[6],"polyhedral":[7,12,57],"abstractions":[8],"(also":[9],"known":[10],"as":[11],"reductions)":[13],"for":[14],"Petri":[15,28,117],"nets.":[16],"Polyhedral":[17],"abstraction":[18],"is":[19],"a":[20,79,111,114],"new":[21],"type":[22],"of":[23,34,41,64,81,116],"state":[24],"space":[25],"equivalence,":[26],"between":[27,38],"nets,":[29,118,121],"based":[30],"on":[31,73,137],"the":[32,39,75,88,98],"use":[33,136],"linear":[35],"integer":[36],"constraints":[37],"marking":[40],"places.":[42],"In":[43],"addition":[44],"defining":[46],"proof":[49],"method,":[50],"this":[51,94],"paper":[52],"aims":[53],"better":[55],"characterize":[56],"reductions,":[58],"and":[59,132],"give":[61],"overview":[63],"their":[65],"application":[66],"reachability":[68,125],"problems.":[69],"Our":[70],"approach":[71],"relies":[72],"encoding":[74],"equivalence":[76,89],"problem":[77],"into":[78],"set":[80],"SMT":[82],"formulas":[83],"whose":[84],"satisfaction":[85],"implies":[86],"that":[87,100,122],"holds.":[90],"The":[91],"difficulty,":[92],"in":[93],"context,":[95],"arises":[96],"from":[97],"fact":[99],"we":[101,109,133],"need":[102],"handle":[104],"infinite-state":[105],"systems.":[106],"For":[107],"completeness,":[108],"exploit":[110],"connection":[112],"with":[113],"class":[115],"called":[119],"flat":[120],"have":[123,128],"Presburger-definable":[124],"sets.":[126],"implemented":[129],"our":[130],"procedure,":[131],"illustrate":[134],"its":[135],"several":[138],"examples.":[139]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2024-09-20T00:00:00"}