{"id":"https://openalex.org/W4403345024","doi":"https://doi.org/10.1007/978-3-031-66149-5_13","title":"Augmenting Interpolation-Based Model Checking with Auxiliary Invariants","display_name":"Augmenting Interpolation-Based Model Checking with Auxiliary Invariants","publication_year":2024,"publication_date":"2024-10-12","ids":{"openalex":"https://openalex.org/W4403345024","doi":"https://doi.org/10.1007/978-3-031-66149-5_13"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-66149-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-66149-5_13","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-66149-5_13.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-66149-5_13.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071340047","display_name":"Dirk Beyer","orcid":"https://orcid.org/0000-0003-4832-7662"},"institutions":[{"id":"https://openalex.org/I3018771216","display_name":"LMU Klinikum","ror":"https://ror.org/02jet3w32","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dirk Beyer","raw_affiliation_strings":["LMU Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"LMU Munich, Munich, Germany","institution_ids":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039939942","display_name":"Po-Chun Chien","orcid":"https://orcid.org/0000-0001-5139-5178"},"institutions":[{"id":"https://openalex.org/I3018771216","display_name":"LMU Klinikum","ror":"https://ror.org/02jet3w32","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Po-Chun Chien","raw_affiliation_strings":["LMU Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"LMU Munich, Munich, Germany","institution_ids":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082879651","display_name":"Nian-Ze Lee","orcid":"https://orcid.org/0000-0002-8096-5595"},"institutions":[{"id":"https://openalex.org/I3018771216","display_name":"LMU Klinikum","ror":"https://ror.org/02jet3w32","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nian-Ze Lee","raw_affiliation_strings":["LMU Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"LMU Munich, Munich, Germany","institution_ids":["https://openalex.org/I3018771216","https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071340047"],"corresponding_institution_ids":["https://openalex.org/I3018771216","https://openalex.org/I8204097"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":3.3533,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.92280483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"227","last_page":"247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9991999864578247,"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/T10126","display_name":"Logic, programming, and type systems","score":0.994700014591217,"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/computer-science","display_name":"Computer science","score":0.8232454061508179},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.722440779209137},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.49985551834106445},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.41686758399009705},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.393333375453949},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3615677058696747},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3334578573703766},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3260626792907715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12765833735466003},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0609954297542572}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8232454061508179},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.722440779209137},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.49985551834106445},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.41686758399009705},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.393333375453949},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3615677058696747},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3334578573703766},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3260626792907715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12765833735466003},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0609954297542572},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-66149-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-66149-5_13","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-66149-5_13.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-66149-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-66149-5_13","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-66149-5_13.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403345024.pdf","grobid_xml":"https://content.openalex.org/works/W4403345024.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W36793001","https://openalex.org/W221832247","https://openalex.org/W967948971","https://openalex.org/W1497571013","https://openalex.org/W1508927144","https://openalex.org/W1510368738","https://openalex.org/W1531204343","https://openalex.org/W1565898282","https://openalex.org/W1566132409","https://openalex.org/W1579638562","https://openalex.org/W1586497944","https://openalex.org/W1591856965","https://openalex.org/W1839583963","https://openalex.org/W1904455255","https://openalex.org/W1973291036","https://openalex.org/W2004419599","https://openalex.org/W2010452422","https://openalex.org/W2022043656","https://openalex.org/W2022877924","https://openalex.org/W2059590831","https://openalex.org/W2080573945","https://openalex.org/W2081840025","https://openalex.org/W2084330491","https://openalex.org/W2098244894","https://openalex.org/W2101827209","https://openalex.org/W2109394703","https://openalex.org/W2110483705","https://openalex.org/W2116098983","https://openalex.org/W2120162396","https://openalex.org/W2120484044","https://openalex.org/W2122614187","https://openalex.org/W2124153277","https://openalex.org/W2139720682","https://openalex.org/W2147627044","https://openalex.org/W2149647957","https://openalex.org/W2161253570","https://openalex.org/W2292992187","https://openalex.org/W2765527199","https://openalex.org/W2773676607","https://openalex.org/W2797067769","https://openalex.org/W3016403159","https://openalex.org/W3138459719","https://openalex.org/W3139826851","https://openalex.org/W3149893948","https://openalex.org/W4212792638","https://openalex.org/W4225751037","https://openalex.org/W4240000722","https://openalex.org/W4241748122","https://openalex.org/W4254797316","https://openalex.org/W4290860497","https://openalex.org/W4388483269","https://openalex.org/W4392781423","https://openalex.org/W6777087870","https://openalex.org/W6912548690","https://openalex.org/W6948660487"],"related_works":["https://openalex.org/W1538854713","https://openalex.org/W2041209185","https://openalex.org/W4235160909","https://openalex.org/W1484021165","https://openalex.org/W3021865842","https://openalex.org/W2196991573","https://openalex.org/W2030935018","https://openalex.org/W1785234853","https://openalex.org/W2356154743","https://openalex.org/W2015573812"],"abstract_inverted_index":{"Abstract":[0],"Software":[1],"model":[2,124],"checking":[3,125],"is":[4,12],"a":[5,13,22,130,158],"challenging":[6],"problem,":[7],"and":[8,39,108,149,170,202],"generating":[9],"relevant":[10],"invariants":[11,25,53,68,121,141,190],"key":[14],"factor":[15],"in":[16,146,165,177],"proving":[17],"the":[18,60,92,151,154,162,166,192,204,208,224],"safety":[19,200],"properties":[20,201],"of":[21,157,194,217],"program.":[23,159],"Program":[24],"can":[26,83],"be":[27,85],"obtained":[28],"by":[29],"various":[30],"approaches,":[31,102],"including":[32,103],"lightweight":[33],"procedures":[34],"based":[35],"on":[36],"data-flow":[37,46],"analysis":[38,47,152],"intensive":[40],"techniques":[41],"using":[42],"Craig":[43,147],"interpolation.":[44],"Although":[45],"runs":[48],"efficiently,":[49],"it":[50,172],"often":[51],"produces":[52],"that":[54,118,188,215],"are":[55],"too":[56],"weak":[57],"to":[58,78,90,153,198],"prove":[59,199],"properties.":[61],"By":[62],"contrast,":[63],"interpolation-based":[64,115,123],"approaches":[65],"build":[66],"strong":[67],"from":[69],"interpolants,":[70],"but":[71],"they":[72],"might":[73],"not":[74],"scale":[75],"well":[76,180],"due":[77],"expensive":[79],"interpolation":[80,195],"procedures.":[81],"Invariants":[82],"also":[84],"injected":[86],"into":[87,122],"model-checking":[88,132],"algorithms":[89],"assist":[91],"analysis.":[93],"Invariant":[94],"injection":[95],"has":[96],"been":[97],"studied":[98],"for":[99,136],"many":[100],"well-known":[101],"k":[104],"-induction,":[105],"predicate":[106],"abstraction,":[107],"symbolic":[109],"execution.":[110],"We":[111,160,186],"propose":[112],"an":[113],"augmented":[114],"verification":[116,167],"algorithm":[117,133],"injects":[119],"external":[120],"(":[126],"McMillan,":[127],"2003":[128],"),":[129],"hardware":[131],"recently":[134],"adopted":[135],"software":[137,184],"verification.":[138],"The":[139],"auxiliary":[140],"help":[142],"prune":[143],"unreachable":[144],"states":[145],"interpolants":[148],"confine":[150],"reachable":[155],"parts":[156],"implemented":[161],"proposed":[163,209],"technique":[164],"framework":[168],"CPAchecker":[169,178],"evaluated":[171],"against":[173],"mature":[174],"SMT-based":[175],"methods":[176],"as":[179,181],"other":[182],"state-of-the-art":[183],"verifiers.":[185],"found":[187],"injecting":[189],"reduces":[191],"number":[193],"queries":[196],"needed":[197],"improves":[203],"run-time":[205],"efficiency.":[206],"Consequently,":[207],"invariant-injection":[210],"approach":[211],"verified":[212],"difficult":[213],"tasks":[214],"none":[216],"its":[218],"plain":[219],"version":[220],"(i.e.,":[221],"without":[222],"invariants),":[223],"invariant":[225],"generator,":[226],"or":[227],"any":[228],"compared":[229],"tools":[230],"could":[231],"solve.":[232]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-07T13:37:22.277990","created_date":"2025-10-10T00:00:00"}
