{"id":"https://openalex.org/W2011751050","doi":"https://doi.org/10.2168/lmcs-8(3:28)2012","title":"Forward Analysis for WSTS, Part II: Complete WSTS","display_name":"Forward Analysis for WSTS, Part II: Complete WSTS","publication_year":2012,"publication_date":"2012-09-29","ids":{"openalex":"https://openalex.org/W2011751050","doi":"https://doi.org/10.2168/lmcs-8(3:28)2012","mag":"2011751050"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(3:28)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:28)2012","pdf_url":"https://lmcs.episciences.org/1217/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1217/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103032071","display_name":"Alain Finkel","orcid":null},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alain Finkel","raw_affiliation_strings":["LSV, ENS Cachan, CNRS,"],"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, CNRS,","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I11559806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032396554","display_name":"Jean Goubault-Larrecq","orcid":"https://orcid.org/0000-0001-5879-3304"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean Goubault-Larrecq","raw_affiliation_strings":["LSV, ENS Cachan, CNRS, Inria,#TAB#"],"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, CNRS, Inria,#TAB#","institution_ids":["https://openalex.org/I11559806"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103032071"],"corresponding_institution_ids":["https://openalex.org/I11559806","https://openalex.org/I4210104198"],"apc_list":null,"apc_paid":null,"fwci":2.4188,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.88627289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 8, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9991999864578247,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.8720793128013611},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.6065589785575867},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5718231201171875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5705544948577881},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5627777576446533},{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.5398207902908325},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5346255898475647},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4972248375415802},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.47430089116096497},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4614746570587158},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45455870032310486},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42228010296821594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40625935792922974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4062384366989136},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08448377251625061},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07279932498931885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06874367594718933}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8720793128013611},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6065589785575867},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5718231201171875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5705544948577881},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5627777576446533},{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.5398207902908325},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5346255898475647},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4972248375415802},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.47430089116096497},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4614746570587158},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45455870032310486},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42228010296821594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40625935792922974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4062384366989136},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08448377251625061},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07279932498931885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06874367594718933},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2168/lmcs-8(3:28)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:28)2012","pdf_url":"https://lmcs.episciences.org/1217/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1208.4549","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.4549","pdf_url":"https://arxiv.org/pdf/1208.4549","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.217.9956","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.9956","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/PAPERS/PDF/FGL-icalp09.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03189994v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03189994","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2012, 8 (3), ⟨10.2168/LMCS-8(3:28)2012⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:636041d00663441c936055fdaa508653","is_oa":true,"landing_page_url":"https://doaj.org/article/636041d00663441c936055fdaa508653","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 8, Issue 3 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(3:28)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:28)2012","pdf_url":"https://lmcs.episciences.org/1217/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G510740806","display_name":null,"funder_award_id":"ANR-11-BS02-001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2011751050.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W84385201","https://openalex.org/W263470693","https://openalex.org/W1497986795","https://openalex.org/W1504065323","https://openalex.org/W1513999490","https://openalex.org/W1525647423","https://openalex.org/W1530843743","https://openalex.org/W1543926679","https://openalex.org/W1570743953","https://openalex.org/W1574642627","https://openalex.org/W1586140256","https://openalex.org/W1744908390","https://openalex.org/W1763122816","https://openalex.org/W1821880317","https://openalex.org/W1834360724","https://openalex.org/W1913196744","https://openalex.org/W1916487582","https://openalex.org/W1965726041","https://openalex.org/W1967174286","https://openalex.org/W1975261774","https://openalex.org/W1985925577","https://openalex.org/W1987557885","https://openalex.org/W1989736956","https://openalex.org/W2017315323","https://openalex.org/W2052306562","https://openalex.org/W2053229198","https://openalex.org/W2055081868","https://openalex.org/W2067016370","https://openalex.org/W2087997226","https://openalex.org/W2089107726","https://openalex.org/W2106001218","https://openalex.org/W2129073086","https://openalex.org/W2132546292","https://openalex.org/W2134705851","https://openalex.org/W2160527279","https://openalex.org/W3093599425","https://openalex.org/W3104578959","https://openalex.org/W4236220564","https://openalex.org/W4239860664"],"related_works":["https://openalex.org/W2522627362","https://openalex.org/W2110957508","https://openalex.org/W2387511021","https://openalex.org/W2400441765","https://openalex.org/W2095453628","https://openalex.org/W2380814829","https://openalex.org/W2292945367","https://openalex.org/W2912084093","https://openalex.org/W2114218015","https://openalex.org/W1531156418"],"abstract_inverted_index":{"We":[0,45,64,88],"describe":[1],"a":[2,18,26,34,58],"simple,":[3],"conceptual":[4],"forward":[5],"analysis":[6],"procedure":[7,68,77,94],"for":[8],"infinity-complete":[9,51],"WSTS":[10,27,91],"S.":[11],"This":[12],"computes":[13],"the":[14,23,29,38,42,74,90],"so-called":[15],"clover":[16,30],"of":[17,25,37,41,62,80],"state.":[19],"When":[20],"S":[21,32],"is":[22,33,55],"completion":[24],"X,":[28],"in":[31,70],"finite":[35],"description":[36],"downward":[39],"closure":[40],"reachability":[43],"set.":[44],"show":[46,65],"that":[47,66,98],"such":[48],"completions":[49],"are":[50,99],"exactly":[52],"when":[53],"X":[54],"an":[56],"omega-2-WSTS,":[57],"new":[59],"robust":[60],"class":[61],"WSTS.":[63],"our":[67,93],"terminates":[69,95],"more":[71],"cases":[72],"than":[73],"generalized":[75],"Karp-Miller":[76],"on":[78,84],"extensions":[79],"Petri":[81],"nets":[82],"and":[83],"lossy":[85],"channel":[86],"systems.":[87,108],"characterize":[89],"where":[92],"as":[96],"those":[97],"clover-flattable.":[100],"Finally,":[101],"we":[102],"apply":[103],"this":[104],"to":[105],"well-structured":[106],"counter":[107]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}