{"id":"https://openalex.org/W4310925501","doi":"https://doi.org/10.48550/arxiv.2212.03684","title":"A Decision Diagram Operation for Reachability","display_name":"A Decision Diagram Operation for Reachability","publication_year":2022,"publication_date":"2022-12-07","ids":{"openalex":"https://openalex.org/W4310925501","doi":"https://doi.org/10.48550/arxiv.2212.03684"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2212.03684","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.03684","pdf_url":"https://arxiv.org/pdf/2212.03684","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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2212.03684","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005249960","display_name":"Sebastiaan Brand","orcid":"https://orcid.org/0000-0002-7666-2794"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brand, Sebastiaan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062646838","display_name":"Thomas B\u00e4ck","orcid":"https://orcid.org/0000-0001-6768-1478"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B\u00e4ck, Thomas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018667026","display_name":"Alfons Laarman","orcid":"https://orcid.org/0000-0002-2433-4174"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laarman, Alfons","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"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":0.9797000288963318,"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":0.9797000288963318,"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/T10260","display_name":"Software Engineering Research","score":0.9710000157356262,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9330999851226807,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.848081111907959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7095713019371033},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.674130916595459},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.6510169506072998},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5294639468193054},{"id":"https://openalex.org/keywords/influence-diagram","display_name":"Influence diagram","score":0.48968079686164856},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.4814950227737427},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.42910295724868774},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3804967999458313},{"id":"https://openalex.org/keywords/decision-tree","display_name":"Decision tree","score":0.3559226989746094},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19272476434707642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18804815411567688}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.848081111907959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7095713019371033},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.674130916595459},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.6510169506072998},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5294639468193054},{"id":"https://openalex.org/C20837028","wikidata":"https://www.wikidata.org/wiki/Q623966","display_name":"Influence diagram","level":3,"score":0.48968079686164856},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.4814950227737427},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.42910295724868774},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3804967999458313},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.3559226989746094},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19272476434707642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18804815411567688},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2212.03684","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.03684","pdf_url":"https://arxiv.org/pdf/2212.03684","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:zenodo.org:13311922","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arXiv.2212.03684","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"FM23, International Symposium on Formal Methods, L\u00fcbeck, Germany, 6-10 March 2023","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2212.03684","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2212.03684","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2212.03684","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.03684","pdf_url":"https://arxiv.org/pdf/2212.03684","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2884574904","https://openalex.org/W2089210394","https://openalex.org/W2103286150","https://openalex.org/W2122917767","https://openalex.org/W4300616421","https://openalex.org/W2803843036","https://openalex.org/W2542904743","https://openalex.org/W1583869287","https://openalex.org/W2471151559","https://openalex.org/W2611966366"],"abstract_inverted_index":{"Saturation":[0],"is":[1],"considered":[2],"the":[3,37,45,83,129],"state-of-the-art":[4,130],"method":[5,154],"for":[6,48],"computing":[7],"fixpoints":[8],"with":[9,93,128],"decision":[10,17,53],"diagrams.":[11],"We":[12,40,60],"present":[13],"a":[14,34,97,126,152],"relatively":[15],"simple":[16],"diagram":[18],"operation":[19,47,85],"called":[20],"REACH":[21,84,103,109,138,147],"that":[22,82,108,137,146],"also":[23],"computes":[24],"fixpoints.":[25],"In":[26,96],"contrast":[27],"to":[28,114],"saturation,":[29,88],"it":[30],"does":[31],"not":[32],"require":[33],"partitioning":[35],"of":[36,102,143],"transition":[38,91],"relation.":[39],"give":[41],"sequential":[42],"algorithms":[43,63],"implementing":[44],"new":[46],"both":[49],"binary":[50],"and":[51,55,64,104],"multi-valued":[52],"diagrams,":[54],"moreover":[56],"provide":[57],"parallel":[58],"counterparts.":[59],"implement":[61],"these":[62],"experimentally":[65],"compare":[66],"their":[67],"performance":[68],"against":[69],"saturation":[70,105,120],"on":[71,90,141],"692":[72],"model":[73,131],"checking":[74,132],"benchmarks":[75],"in":[76,125,155],"different":[77],"languages.":[78],"The":[79],"results":[80],"show":[81],"often":[86],"outperforms":[87,139],"especially":[89],"relations":[92],"low":[94],"locality.":[95],"comparison":[98,127],"between":[99],"parallelized":[100],"versions":[101],"we":[106,135],"find":[107,136],"obtains":[110],"comparable":[111],"speedups":[112],"up":[113],"16":[115],"cores,":[116],"although":[117],"falls":[118],"behind":[119],"at":[121],"64":[122],"cores.":[123],"Finally,":[124],"tool":[133],"ITS-tools":[134,140],"29%":[142],"models,":[144],"suggesting":[145],"can":[148],"be":[149],"useful":[150],"as":[151],"complementary":[153],"an":[156],"ensemble":[157],"tool.":[158]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}