{"id":"https://openalex.org/W1503537039","doi":"https://doi.org/10.1007/11547662_8","title":"Abstraction Refinement for Termination","display_name":"Abstraction Refinement for Termination","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1503537039","doi":"https://doi.org/10.1007/11547662_8","mag":"1503537039"},"language":"en","primary_location":{"id":"doi:10.1007/11547662_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11547662_8","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112528389","display_name":"Byron Cook","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Byron Cook","raw_affiliation_strings":["Microsoft Research, Cambridge"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, Cambridge","institution_ids":["https://openalex.org/I4210164937"]}]},{"author_position":"middle","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":false,"raw_author_name":"Andreas Podelski","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken","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":"Andrey Rybalchenko","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112528389"],"corresponding_institution_ids":["https://openalex.org/I4210164937"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":12.8169,"has_fulltext":false,"cited_by_count":112,"citation_normalized_percentile":{"value":0.99310805,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"87","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9990000128746033,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9879000186920166,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.9640622735023499},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.8383117914199829},{"id":"https://openalex.org/keywords/predicate-abstraction","display_name":"Predicate abstraction","score":0.8002792596817017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6762061715126038},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.6620961427688599},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5441341400146484},{"id":"https://openalex.org/keywords/abstraction-model-checking","display_name":"Abstraction model checking","score":0.5233475565910339},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.49300023913383484},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.48228028416633606},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.4552113711833954},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44432058930397034},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4250301718711853},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4196430742740631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22976097464561462},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20033591985702515}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9640622735023499},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.8383117914199829},{"id":"https://openalex.org/C2779907942","wikidata":"https://www.wikidata.org/wiki/Q7239630","display_name":"Predicate abstraction","level":3,"score":0.8002792596817017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6762061715126038},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.6620961427688599},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5441341400146484},{"id":"https://openalex.org/C30888246","wikidata":"https://www.wikidata.org/wiki/Q4669969","display_name":"Abstraction model checking","level":3,"score":0.5233475565910339},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.49300023913383484},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.48228028416633606},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.4552113711833954},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44432058930397034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4250301718711853},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4196430742740631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22976097464561462},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20033591985702515},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11547662_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11547662_8","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W120333500","https://openalex.org/W1480600454","https://openalex.org/W1495299640","https://openalex.org/W1497058589","https://openalex.org/W1505135855","https://openalex.org/W1515363397","https://openalex.org/W1530375435","https://openalex.org/W1534962625","https://openalex.org/W1540180001","https://openalex.org/W1541144457","https://openalex.org/W1552505815","https://openalex.org/W1554532808","https://openalex.org/W1556566737","https://openalex.org/W1575647584","https://openalex.org/W1585994937","https://openalex.org/W1593745409","https://openalex.org/W1596431623","https://openalex.org/W1965042993","https://openalex.org/W1968898611","https://openalex.org/W2042108411","https://openalex.org/W2043100293","https://openalex.org/W2105357036","https://openalex.org/W2128111779","https://openalex.org/W2132661148","https://openalex.org/W2134147303","https://openalex.org/W2136333450","https://openalex.org/W2147348835","https://openalex.org/W2151463894","https://openalex.org/W2293708017","https://openalex.org/W2340735175","https://openalex.org/W2488531982","https://openalex.org/W2913459036","https://openalex.org/W4243167850","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1490609548","https://openalex.org/W2953113086","https://openalex.org/W1552191998","https://openalex.org/W2472692802","https://openalex.org/W1952054528","https://openalex.org/W2765989158","https://openalex.org/W1033764083","https://openalex.org/W3098578101","https://openalex.org/W2113686430","https://openalex.org/W1539201627"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}