{"id":"https://openalex.org/W4248689402","doi":"https://doi.org/10.1109/lics.2004.1319598","title":"Transition invariants","display_name":"Transition invariants","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W4248689402","doi":"https://doi.org/10.1109/lics.2004.1319598"},"language":"en","primary_location":{"id":"doi:10.1109/lics.2004.1319598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2004.1319598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004.","raw_type":"proceedings-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/A5062411838","display_name":"Andreas Podelski","orcid":"https://orcid.org/0000-0003-2540-9489"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Podelski","raw_affiliation_strings":["Max Planck Institut f\u00fcr Informatik, Saarbrucken, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institut f\u00fcr Informatik, Saarbrucken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044737952","display_name":"Andrey Rybalchenko","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Rybalchenko","raw_affiliation_strings":["Max Planck Institut f\u00fcr Informatik, Saarbrucken, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institut f\u00fcr Informatik, Saarbrucken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062411838"],"corresponding_institution_ids":["https://openalex.org/I4210109712"],"apc_list":null,"apc_paid":null,"fwci":5.877,"has_fulltext":false,"cited_by_count":155,"citation_normalized_percentile":{"value":0.96584052,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"32","last_page":"41"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T11424","display_name":"Security and Verification in Computing","score":0.9969000220298767,"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/transitive-closure","display_name":"Transitive closure","score":0.7972273826599121},{"id":"https://openalex.org/keywords/liveness","display_name":"Liveness","score":0.7928148508071899},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6666563749313354},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.5777534246444702},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.5748928785324097},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.5723292231559753},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5422279834747314},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.44550764560699463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4009520709514618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.392107218503952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3208529055118561},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2774427831172943},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23582687973976135},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11563456058502197},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08635923266410828}],"concepts":[{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.7972273826599121},{"id":"https://openalex.org/C15569618","wikidata":"https://www.wikidata.org/wiki/Q3561421","display_name":"Liveness","level":2,"score":0.7928148508071899},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6666563749313354},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.5777534246444702},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.5748928785324097},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.5723292231559753},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5422279834747314},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.44550764560699463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4009520709514618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.392107218503952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3208529055118561},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2774427831172943},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23582687973976135},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11563456058502197},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08635923266410828},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lics.2004.1319598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2004.1319598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W120333500","https://openalex.org/W123493550","https://openalex.org/W1497571013","https://openalex.org/W1530375435","https://openalex.org/W1552024587","https://openalex.org/W1560050980","https://openalex.org/W1575647584","https://openalex.org/W1798280647","https://openalex.org/W1976773489","https://openalex.org/W1993129359","https://openalex.org/W2014764321","https://openalex.org/W2022228153","https://openalex.org/W2031506341","https://openalex.org/W2043100293","https://openalex.org/W2065353132","https://openalex.org/W2072623190","https://openalex.org/W2095689360","https://openalex.org/W2295903414","https://openalex.org/W4235788944","https://openalex.org/W4242057943","https://openalex.org/W4243167850","https://openalex.org/W4245821747","https://openalex.org/W6629660608","https://openalex.org/W6634244041","https://openalex.org/W6638298327"],"related_works":["https://openalex.org/W2362009423","https://openalex.org/W2139191522","https://openalex.org/W2394135826","https://openalex.org/W2365750584","https://openalex.org/W1575025334","https://openalex.org/W2134295301","https://openalex.org/W1997826500","https://openalex.org/W2391133415","https://openalex.org/W2383282217","https://openalex.org/W2370643476"],"abstract_inverted_index":{"Proof":[0],"rules":[1],"for":[2,93],"program":[3,29,35],"verification":[4],"rely":[5],"on":[6],"auxiliary":[7,19],"assertions.":[8],"We":[9,63],"propose":[10],"a":[11,28,31,57,77],"(sound":[12],"and":[13],"relatively":[14],"complete)":[15],"proof":[16,87],"rule":[17,88],"whose":[18],"assertions":[20],"are":[21],"transition":[22,25,44,80],"invariants.":[23],"A":[24,49],"invariant":[26],"of":[27,42,46,60,67,76,85],"is":[30,51,56],"binary":[32],"relation":[33,45,50],"over":[34],"states":[36],"that":[37],"contains":[38],"the":[39,43,47,65,74],"transitive":[40],"closure":[41],"program.":[48],"disjunctively":[52,78],"well-founded":[53,61,79],"if":[54],"it":[55],"finite":[58],"union":[59],"relations.":[62],"characterize":[64],"validity":[66],"termination":[68],"or":[69],"another":[70],"liveness":[71],"property":[72],"by":[73],"existence":[75],"invariant.":[81],"The":[82],"main":[83],"contribution":[84],"our":[86],"lies":[89],"in":[90],"its":[91],"potential":[92],"automation":[94],"via":[95],"abstract":[96],"interpretation.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":16}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
