{"id":"https://openalex.org/W2069748505","doi":"https://doi.org/10.2168/lmcs-3(4:1)2007","title":"Interpolant-Based Transition Relation Approximation","display_name":"Interpolant-Based Transition Relation Approximation","publication_year":2007,"publication_date":"2007-11-01","ids":{"openalex":"https://openalex.org/W2069748505","doi":"https://doi.org/10.2168/lmcs-3(4:1)2007","mag":"2069748505"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-3(4:1)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:1)2007","pdf_url":"https://lmcs.episciences.org/1152/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/1152/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002412544","display_name":"Ranjit Jhala","orcid":"https://orcid.org/0000-0002-1802-9421"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ranjit Jhala","raw_affiliation_strings":["University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093"],"affiliations":[{"raw_affiliation_string":"University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047507250","display_name":"Kenneth L. McMillan","orcid":"https://orcid.org/0009-0000-9380-1939"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I66217453","display_name":"Cadence Design Systems (United States)","ror":"https://ror.org/04w8xa018","country_code":"US","type":"company","lineage":["https://openalex.org/I66217453"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth L. McMillan","raw_affiliation_strings":["Cadence Berkeley Laboratories, 1995 University Ave., Suite 460, Berkeley, CA 94704"],"affiliations":[{"raw_affiliation_string":"Cadence Berkeley Laboratories, 1995 University Ave., Suite 460, Berkeley, CA 94704","institution_ids":["https://openalex.org/I66217453","https://openalex.org/I148283060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002412544"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":2.9886,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.90842726,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 3, Issue 4","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9979000091552734,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9951000213623047,"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/predicate-abstraction","display_name":"Predicate abstraction","score":0.8970004320144653},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7454929947853088},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.6589481234550476},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6312336325645447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5352118015289307},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4937034547328949},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.49005329608917236},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4821000397205353},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4708138406276703},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.455756813287735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45219454169273376},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.4302060306072235},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39214813709259033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3767606019973755},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32930538058280945},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1760667860507965},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1592511236667633}],"concepts":[{"id":"https://openalex.org/C2779907942","wikidata":"https://www.wikidata.org/wiki/Q7239630","display_name":"Predicate abstraction","level":3,"score":0.8970004320144653},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7454929947853088},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.6589481234550476},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6312336325645447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5352118015289307},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4937034547328949},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.49005329608917236},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4821000397205353},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4708138406276703},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.455756813287735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45219454169273376},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.4302060306072235},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39214813709259033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3767606019973755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32930538058280945},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1760667860507965},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1592511236667633},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.2168/lmcs-3(4:1)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:1)2007","pdf_url":"https://lmcs.episciences.org/1152/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:0706.0523","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0706.0523","pdf_url":"https://arxiv.org/pdf/0706.0523","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:10.1.1.110.1089","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.1089","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pho.ucsd.edu/rjhala/papers/interpolant_based_transition_relation_approximation.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.193.3780","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.193.3780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-cad.eecs.berkeley.edu/%7Ekenmcmil/pubs/LMCS07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.90.907","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.907","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kenmcmil.com/pubs/CAV05.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.91.6898","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.91.6898","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cadence.com/company/cadence_labs/mcmillan_LICS_2007_Interpolant.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:4f73ce4098af480e994bea536452dbbc","is_oa":true,"landing_page_url":"https://doaj.org/article/4f73ce4098af480e994bea536452dbbc","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 3, Issue 4 (2007)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-3(4:1)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:1)2007","pdf_url":"https://lmcs.episciences.org/1152/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":[{"display_name":"Peace, Justice and strong institutions","score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2069748505.pdf","grobid_xml":"https://content.openalex.org/works/W2069748505.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1497571013","https://openalex.org/W1510368738","https://openalex.org/W1583776219","https://openalex.org/W1601517679","https://openalex.org/W1787074469","https://openalex.org/W1836483134","https://openalex.org/W2044095368","https://openalex.org/W2044632231","https://openalex.org/W2082000355","https://openalex.org/W2084294613","https://openalex.org/W2114633883","https://openalex.org/W2134147303","https://openalex.org/W2151463894","https://openalex.org/W2158395308","https://openalex.org/W2295903414","https://openalex.org/W4231640108","https://openalex.org/W4236684541","https://openalex.org/W6635803408","https://openalex.org/W6638020115","https://openalex.org/W6682276045","https://openalex.org/W6683354071","https://openalex.org/W6697035561"],"related_works":["https://openalex.org/W2953113086","https://openalex.org/W1552191998","https://openalex.org/W2162945176","https://openalex.org/W4240080598","https://openalex.org/W2096561672","https://openalex.org/W2056825861","https://openalex.org/W1531204343","https://openalex.org/W1558442354","https://openalex.org/W278680301","https://openalex.org/W1484081459"],"abstract_inverted_index":{"In":[0],"predicate":[1],"abstraction,":[2],"exact":[3,82],"image":[4,83],"computation":[5],"is":[6],"problematic,":[7],"requiring":[8,80],"in":[9,39,64],"the":[10,34,60,89],"worst":[11],"case":[12,65],"an":[13,48,55,74,81,95],"exponential":[14],"number":[15],"of":[16,33,51,66,77],"calls":[17],"to":[18,42],"a":[19,30,40,44],"decision":[20],"procedure.":[21],"For":[22],"this":[23],"reason,":[24],"software":[25],"model":[26],"checkers":[27],"typically":[28],"use":[29],"weak":[31],"approximation":[32],"image.":[35],"This":[36,69],"can":[37],"result":[38],"failure":[41],"prove":[43],"property,":[45],"even":[46],"given":[47,73],"adequate":[49,75],"set":[50,76],"predicates.":[52],"We":[53,85],"present":[54],"interpolant-based":[56],"method":[57,90,97],"for":[58],"strengthening":[59],"abstract":[61],"transition":[62],"relation":[63],"such":[67],"failures.":[68],"approach":[70],"guarantees":[71],"convergence":[72],"predicates,":[78],"without":[79],"computation.":[84],"show":[86],"empirically":[87],"that":[88],"converges":[91],"more":[92],"rapidly":[93],"than":[94],"earlier":[96],"based":[98],"on":[99],"counterexample":[100],"analysis.":[101]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
