{"id":"https://openalex.org/W7161720734","doi":"https://doi.org/10.48550/arxiv.2605.16959","title":"Over-approximation of weakly-hard constraints for control systems verification (Extended)","display_name":"Over-approximation of weakly-hard constraints for control systems verification (Extended)","publication_year":2026,"publication_date":"2026-05-16","ids":{"openalex":"https://openalex.org/W7161720734","doi":"https://doi.org/10.48550/arxiv.2605.16959"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.16959","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.16959","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.16959","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134458397","display_name":"Rieke de Maeyer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"de Maeyer, Rieke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028747794","display_name":"Holger Hermanns","orcid":"https://orcid.org/0000-0002-2766-9615"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hermanns, Holger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5007294890","display_name":"Martina Maggio","orcid":"https://orcid.org/0000-0002-1143-1127"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maggio, Martina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"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":0.5720999836921692,"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":0.5720999836921692,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.3815000057220459,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.012299999594688416,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6255000233650208},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5712000131607056},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.565500020980835},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4578999876976013},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.453000009059906},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41100001335144043},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.38179999589920044},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.29840001463890076}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6830999851226807},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6255000233650208},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5712000131607056},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.565500020980835},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4578999876976013},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.453000009059906},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41600000858306885},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41100001335144043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38690000772476196},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.38179999589920044},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.29840001463890076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2874000072479248},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.28529998660087585},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.2838999927043915},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.27799999713897705},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2718999981880188},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2605000138282776},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.25920000672340393},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.258899986743927},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.25519999861717224},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.16959","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.16959","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.16959","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.16959","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.4218035936355591,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0,8],"hard":[1],"real-time":[2,10],"system":[3,100],"cannot":[4],"miss":[5],"any":[6],"deadline.":[7],"weakly-hard":[9,30,48],"system,":[11],"on":[12,159],"the":[13,27,51,72,83,96,108,131,147,165,172,184],"contrary,":[14],"is":[15,50,91],"designed":[16],"to":[17,66,113,177],"tolerate":[18,60],"a":[19,80,92,138],"specific":[20],"number":[21],"of":[22,37,56,71,98,107,128],"deadline":[23,122],"misses.":[24],"For":[25],"instance,":[26],"AnyMiss(2,":[28,89],"300)":[29],"constraint":[31,84],"stipulates":[32],"that":[33,59,77,110,124,144,162],"in":[34,171],"every":[35],"window":[36],"300":[38],"consecutive":[39],"jobs,":[40],"at":[41],"most":[42],"2":[43],"deadlines":[44],"are":[45],"missed.":[46],"The":[47,69],"model":[49],"state-of-the-art":[52,185],"for":[53,88,95,118,180,182],"industrial":[54],"dependability-by-design":[55],"control":[57,99,119,173],"systems":[58,120,181],"deterministic":[61],"failures.":[62],"Weakly-hard":[63],"constraints":[64],"correspond":[65],"regular":[67],"languages.":[68],"size":[70],"minimal":[73,132],"finite":[74,133,149],"state":[75,134,150],"machine":[76],"recognizes":[78],"whether":[79],"string":[81],"satisfies":[82],"(about":[85],"45k":[86],"states":[87],"300))":[90],"notorious":[93],"impediment":[94],"verification":[97],"properties.":[101],"This":[102],"paper":[103],"discusses":[104],"an":[105],"over-approximation":[106],"language":[109,140,154],"allows":[111],"us":[112],"provide":[114,189],"sound":[115],"safety":[116,179],"guarantees":[117],"under":[121],"misses":[123],"would":[125],"be":[126,169],"out":[127],"reach":[129],"using":[130],"machine.":[135,151],"We":[136,152],"present":[137],"compressed":[139],"acceptor":[141,167],"and":[142,157],"prove":[143],"it":[145],"simulates":[146],"original":[148],"study":[153],"cardinality":[155],"properties,":[156],"report":[158],"empirical":[160],"results":[161],"show":[163],"how":[164],"new":[166],"can":[168],"embedded":[170],"design":[174],"workflow,":[175],"leading":[176],"verifying":[178],"which":[183],"tools":[186],"do":[187],"not":[188],"answers.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-25T15:57:00.446498","created_date":"2026-05-20T00:00:00"}