{"id":"https://openalex.org/W2566685746","doi":"https://doi.org/10.1093/comjnl/bxw090","title":"Verification for Non-polynomial Hybrid Systems Using Rational Invariants","display_name":"Verification for Non-polynomial Hybrid Systems Using Rational Invariants","publication_year":2016,"publication_date":"2016-10-24","ids":{"openalex":"https://openalex.org/W2566685746","doi":"https://doi.org/10.1093/comjnl/bxw090","mag":"2566685746"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxw090","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxw090","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100703491","display_name":"Wang Lin","orcid":"https://orcid.org/0000-0003-4467-2186"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]},{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang Lin","raw_affiliation_strings":["College of Mathematics and Information Science, Wenzhou University, Zhejiang 325035, China","Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Wenzhou University, Zhejiang 325035, China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101860728","display_name":"Min Wu","orcid":"https://orcid.org/0009-0007-8206-3855"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]},{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Wu","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103026076","display_name":"Zhengfeng Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhengfeng Yang","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058328411","display_name":"Zhenbing Zeng","orcid":"https://orcid.org/0000-0002-9728-1114"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenbing Zeng","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai 200444, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai 200444, China","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103026076"],"corresponding_institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.3485,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69556514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"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":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9939000010490417,"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"}},{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5623382329940796},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.5423122644424438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5311872959136963},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48246341943740845},{"id":"https://openalex.org/keywords/polynomial-and-rational-function-modeling","display_name":"Polynomial and rational function modeling","score":0.43789157271385193},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.43733978271484375},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37153002619743347},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35430455207824707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3388388156890869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2760060429573059},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20252850651741028}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5623382329940796},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.5423122644424438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5311872959136963},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48246341943740845},{"id":"https://openalex.org/C138029060","wikidata":"https://www.wikidata.org/wiki/Q7226633","display_name":"Polynomial and rational function modeling","level":3,"score":0.43789157271385193},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.43733978271484375},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37153002619743347},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35430455207824707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3388388156890869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2760060429573059},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20252850651741028},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comjnl/bxw090","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxw090","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W172589331","https://openalex.org/W178772886","https://openalex.org/W856973001","https://openalex.org/W1480600454","https://openalex.org/W1507872748","https://openalex.org/W1523211942","https://openalex.org/W1527993902","https://openalex.org/W1539838732","https://openalex.org/W1552875110","https://openalex.org/W1627251346","https://openalex.org/W1903514265","https://openalex.org/W1960944592","https://openalex.org/W1967073510","https://openalex.org/W1977828554","https://openalex.org/W1979646426","https://openalex.org/W1999629321","https://openalex.org/W2000040887","https://openalex.org/W2008148472","https://openalex.org/W2019491495","https://openalex.org/W2026612342","https://openalex.org/W2033118636","https://openalex.org/W2036031393","https://openalex.org/W2038498011","https://openalex.org/W2044263584","https://openalex.org/W2049897010","https://openalex.org/W2052446317","https://openalex.org/W2059998776","https://openalex.org/W2066257627","https://openalex.org/W2067026144","https://openalex.org/W2075106186","https://openalex.org/W2083796743","https://openalex.org/W2087749124","https://openalex.org/W2099687889","https://openalex.org/W2106606898","https://openalex.org/W2111847594","https://openalex.org/W2129729773","https://openalex.org/W2130906232","https://openalex.org/W2131395649","https://openalex.org/W2131399618","https://openalex.org/W2133404041","https://openalex.org/W2137258051","https://openalex.org/W2141040012","https://openalex.org/W2146061292","https://openalex.org/W2147340401","https://openalex.org/W2153803621","https://openalex.org/W2166929155","https://openalex.org/W2170345902","https://openalex.org/W2171852215","https://openalex.org/W2295906355","https://openalex.org/W2312849699","https://openalex.org/W2490811891","https://openalex.org/W2536620281","https://openalex.org/W2594023913","https://openalex.org/W2898916015","https://openalex.org/W2963655224","https://openalex.org/W3217399827","https://openalex.org/W4229917934","https://openalex.org/W4254246953","https://openalex.org/W4299599836","https://openalex.org/W6666896937"],"related_works":["https://openalex.org/W2083214991","https://openalex.org/W2799377959","https://openalex.org/W2378881172","https://openalex.org/W1991218450","https://openalex.org/W2377808330","https://openalex.org/W2582856396","https://openalex.org/W2889181883","https://openalex.org/W2379041201","https://openalex.org/W2126405149","https://openalex.org/W2393175090"],"abstract_inverted_index":{"Hybrid":[0],"systems":[1,26,50],"with":[2],"non-polynomial":[3,20,48],"components":[4],"are":[5],"widely":[6],"used":[7],"in":[8,67],"modeling":[9],"safety":[10,22,45,94],"critical":[11],"applications.":[12],"Due":[13],"to":[14,40,85],"the":[15,19,72,77,93,97,105],"complexity":[16],"arisen":[17],"from":[18,114],"expression,":[21],"verification":[23,46],"for":[24,44,71],"such":[25],"presents":[27],"a":[28,36,58,81],"grand":[29],"challenge.":[30],"In":[31],"this":[32],"paper,":[33],"we":[34],"present":[35],"new":[37],"general":[38],"approach":[39],"synthesizing":[41],"rational":[42,56,68,74,89,106],"invariants":[43,107],"of":[47,96],"hybrid":[49,65,75],"(NPHSs).":[51],"Through":[52],"system":[53,66],"transformation":[54],"and":[55],"approximation,":[57],"NPHS":[59],"is":[60],"transformed":[61],"into":[62],"an":[63],"over-approximate":[64,73],"form.":[69],"Then,":[70],"system,":[76],"proposed":[78],"framework":[79],"exploits":[80],"symbolic-numeric":[82],"computation":[83],"method":[84],"generate":[86],"its":[87],"exact":[88],"invariants,":[90],"which":[91],"guarantees":[92],"property":[95],"original":[98],"NPHS.":[99],"The":[100],"test":[101],"results":[102],"show":[103],"that":[104],"yield":[108],"better":[109],"performances":[110],"than":[111],"those":[112],"obtained":[113],"polynomial":[115],"invariants.":[116]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
