{"id":"https://openalex.org/W2072331537","doi":"https://doi.org/10.2168/lmcs-8(3:29)2012","title":"Invariant Generation through Strategy Iteration in Succinctly Represented Control Flow Graphs","display_name":"Invariant Generation through Strategy Iteration in Succinctly Represented Control Flow Graphs","publication_year":2012,"publication_date":"2012-09-30","ids":{"openalex":"https://openalex.org/W2072331537","doi":"https://doi.org/10.2168/lmcs-8(3:29)2012","mag":"2072331537"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(3:29)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:29)2012","pdf_url":"https://lmcs.episciences.org/689/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/689/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032961497","display_name":"Thomas Martin Gawlitza","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Thomas Martin Gawlitza","raw_affiliation_strings":["School of Information Technologies, The University of Sydney, Australia","The University of Sydney"],"affiliations":[{"raw_affiliation_string":"School of Information Technologies, The University of Sydney, Australia","institution_ids":["https://openalex.org/I129604602"]},{"raw_affiliation_string":"The University of Sydney","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067069157","display_name":"David Monniaux","orcid":"https://orcid.org/0000-0001-7671-6126"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Monniaux","raw_affiliation_strings":["CNRS / VERIMAG Laboratory, Centre quation, 2 avenue de Vignate, 38610 Gires, France","cnrs-verimag"],"affiliations":[{"raw_affiliation_string":"CNRS / VERIMAG Laboratory, Centre quation, 2 avenue de Vignate, 38610 Gires, France","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"cnrs-verimag","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032961497"],"corresponding_institution_ids":["https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":1.7279,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84890724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"Volume 8, Issue 3","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/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9966999888420105,"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/abstract-interpretation","display_name":"Abstract interpretation","score":0.7652592658996582},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.4915564954280853},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4629693031311035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45015352964401245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4383313059806824},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.42894434928894043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4202275574207306},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4164554476737976},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3984338939189911}],"concepts":[{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.7652592658996582},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.4915564954280853},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4629693031311035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45015352964401245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4383313059806824},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.42894434928894043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4202275574207306},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4164554476737976},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3984338939189911},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2168/lmcs-8(3:29)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:29)2012","pdf_url":"https://lmcs.episciences.org/689/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:1209.0643","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1209.0643","pdf_url":"https://arxiv.org/pdf/1209.0643","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.762.276","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.762.276","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1209.0643.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-04597246v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04597246","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2012, Volume 8, Issue 3, &#x27E8;10.2168/LMCS-8(3:29)2012&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:bf06fca71bc7447c91d3e81d894573d2","is_oa":true,"landing_page_url":"https://doaj.org/article/bf06fca71bc7447c91d3e81d894573d2","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 8, Issue 3 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(3:29)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:29)2012","pdf_url":"https://lmcs.episciences.org/689/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":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2072331537.pdf","grobid_xml":"https://content.openalex.org/works/W2072331537.grobid-xml"},"referenced_works_count":71,"referenced_works":["https://openalex.org/W2852225","https://openalex.org/W22297848","https://openalex.org/W50594641","https://openalex.org/W59456976","https://openalex.org/W60370665","https://openalex.org/W74079305","https://openalex.org/W1503756333","https://openalex.org/W1507199453","https://openalex.org/W1524963041","https://openalex.org/W1531851716","https://openalex.org/W1537267155","https://openalex.org/W1540154185","https://openalex.org/W1543362203","https://openalex.org/W1547121950","https://openalex.org/W1563374593","https://openalex.org/W1568984608","https://openalex.org/W1569123676","https://openalex.org/W1571340194","https://openalex.org/W1580450019","https://openalex.org/W1589297860","https://openalex.org/W1592616558","https://openalex.org/W1603182045","https://openalex.org/W1755257908","https://openalex.org/W1824587283","https://openalex.org/W1921152384","https://openalex.org/W1963547452","https://openalex.org/W1984562692","https://openalex.org/W1996184580","https://openalex.org/W2031276295","https://openalex.org/W2033040247","https://openalex.org/W2044870852","https://openalex.org/W2046213250","https://openalex.org/W2047764386","https://openalex.org/W2050620052","https://openalex.org/W2055372726","https://openalex.org/W2065251436","https://openalex.org/W2065939997","https://openalex.org/W2076783467","https://openalex.org/W2084875723","https://openalex.org/W2102181048","https://openalex.org/W2109742527","https://openalex.org/W2117832390","https://openalex.org/W2125967324","https://openalex.org/W2127470768","https://openalex.org/W2132661148","https://openalex.org/W2136333450","https://openalex.org/W2143717499","https://openalex.org/W2159595840","https://openalex.org/W2170736936","https://openalex.org/W2172006877","https://openalex.org/W2296319761","https://openalex.org/W2596285494","https://openalex.org/W2611288859","https://openalex.org/W2911436048","https://openalex.org/W2949748681","https://openalex.org/W2951102103","https://openalex.org/W2951613327","https://openalex.org/W3029115295","https://openalex.org/W3099985883","https://openalex.org/W3100198463","https://openalex.org/W3121218067","https://openalex.org/W3158747708","https://openalex.org/W4206807714","https://openalex.org/W4212935551","https://openalex.org/W4213009134","https://openalex.org/W4249297534","https://openalex.org/W4285719527","https://openalex.org/W4291238798","https://openalex.org/W4297416176","https://openalex.org/W4300462944","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W3095068681","https://openalex.org/W2035631589","https://openalex.org/W1813686459","https://openalex.org/W2039279140","https://openalex.org/W1617297050","https://openalex.org/W1995150618","https://openalex.org/W2368952156","https://openalex.org/W1599897266","https://openalex.org/W1593632240","https://openalex.org/W2122529434"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,14,24,73,82,108,148,157,182,230,240,244],"problem":[3,25,232,237],"of":[4,8,16,26,64,90,92,101,132,173,192,243],"computing":[5],"numerical":[6,17],"invariants":[7,39,68],"programs,":[9],"for":[10],"instance":[11],"bounds":[12],"on":[13,216],"values":[15],"program":[18],"variables.":[19],"More":[20],"specifically,":[21],"we":[22,125,227],"study":[23],"performing":[27],"static":[28],"analysis":[29],"by":[30,43,54,140,169],"abstract":[31,83,94],"interpretation":[32,95],"using":[33],"template":[34,158,188],"linear":[35,159,189,204],"constraint":[36,160,190],"domains.":[37],"Such":[38],"can":[40,78,153],"be":[41,79,154],"obtained":[42],"Kleene":[44,137],"iterations":[45,138],"that":[46,69,77,152,196,214,229],"are,":[47],"in":[48,85,107,127,162,239],"order":[49],"to":[50,67,136,146,210,223],"guarantee":[51],"termination,":[52],"accelerated":[53,139],"widening":[55,141],"operators.":[56],"In":[57,208],"many":[58],"cases,":[59],"however,":[60],"applying":[61],"this":[62,128],"form":[63],"extrapolation":[65],"leads":[66],"are":[70],"weaker":[71],"than":[72],"strongest":[74,149],"inductive":[75,150],"invariant":[76,151],"expressed":[80,155,199],"within":[81,156,185],"domain":[84,161,191],"use.":[86,163],"Another":[87],"well-known":[88],"source":[89],"imprecision":[91],"traditional":[93],"techniques":[96,213],"stems":[97],"from":[98,119],"their":[99],"use":[100],"join":[102,167],"operators":[103,168],"at":[104],"merge":[105],"nodes":[106],"control":[109],"flow":[110],"graph.":[111],"The":[112,123],"mentioned":[113],"weaknesses":[114],"may":[115],"prevent":[116],"these":[117,133],"methods":[118],"proving":[120],"safety":[121],"properties.":[122],"technique":[124,180],"develop":[126],"article":[129],"addresses":[130],"both":[131],"issues:":[134],"contrary":[135],"operators,":[142],"it":[143],"is":[144,197,221,238],"guaranteed":[145],"yield":[147],"It":[164],"also":[165],"eschews":[166],"distinguishing":[170],"all":[171],"paths":[172],"loop-free":[174],"code":[175],"segments.":[176],"Formally":[177],"speaking,":[178],"our":[179,219,235],"computes":[181],"least":[183],"fixpoint":[184,236],"a":[186,193],"given":[187],"transition":[194],"relation":[195],"succinctly":[198],"as":[200],"an":[201],"existentially":[202],"quantified":[203],"real":[205],"arithmetic":[206],"formula.":[207],"contrast":[209],"previously":[211],"published":[212],"rely":[215],"quantifier":[217],"elimination,":[218],"algorithm":[220],"proved":[222],"have":[224],"optimal":[225],"complexity:":[226],"prove":[228],"decision":[231],"associated":[233],"with":[234],"second":[241],"level":[242],"polynomial-time":[245],"hierarchy.":[246]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}
