{"id":"https://openalex.org/W2012895643","doi":"https://doi.org/10.1007/bf00290145","title":"Strongest invariant functions: Their use in the systematic analysis of while statements","display_name":"Strongest invariant functions: Their use in the systematic analysis of while statements","publication_year":1985,"publication_date":"1985-04-01","ids":{"openalex":"https://openalex.org/W2012895643","doi":"https://doi.org/10.1007/bf00290145","mag":"2012895643"},"language":"en","primary_location":{"id":"doi:10.1007/bf00290145","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00290145","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Informatica","raw_type":"journal-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/A5115598651","display_name":"Ali Mili","orcid":"https://orcid.org/0000-0002-6578-5510"},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Ali Mili","raw_affiliation_strings":["D\u00e9partement d'Informatique, Facult\u00e9 des Sciences, Universit\u00e9 de Tunis, Camp. Universitaire, Belv\u00e9d\u00e8re, 1060, Tunis, Tunisia","Univ. de Tunis, Tunis, Tunisia#TAB#"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'Informatique, Facult\u00e9 des Sciences, Universit\u00e9 de Tunis, Camp. Universitaire, Belv\u00e9d\u00e8re, 1060, Tunis, Tunisia","institution_ids":["https://openalex.org/I108714496"]},{"raw_affiliation_string":"Univ. de Tunis, Tunis, Tunisia#TAB#","institution_ids":["https://openalex.org/I108714496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108209111","display_name":"Jules Desharnais","orcid":null},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jules Desharnais","raw_affiliation_strings":["D\u00e9partement d'Informatique, Universit\u00e9 Laval, PQ G1K 7P4, Qu\u00e9bec, Canada","Univ. Laval, Laval, Que., Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'Informatique, Universit\u00e9 Laval, PQ G1K 7P4, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I43406934"]},{"raw_affiliation_string":"Univ. Laval, Laval, Que., Canada#TAB#","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5098367359","display_name":"Jean -Raymond Gagn\ufffd","orcid":null},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jean -Raymond Gagn\ufffd","raw_affiliation_strings":["Univ. Laval, Laval, Que., Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Univ. Laval, Laval, Que., Canada#TAB#","institution_ids":["https://openalex.org/I43406934"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5115598651"],"corresponding_institution_ids":["https://openalex.org/I108714496"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.11995123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"22","issue":"1","first_page":"47","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.996399998664856,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.996399998664856,"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/T10142","display_name":"Formal Methods in Verification","score":0.9717000126838684,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9660999774932861,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/theory-of-computation","display_name":"Theory of computation","score":0.6725188493728638},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6039660573005676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4350115656852722},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3994990885257721},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19412139058113098}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6725188493728638},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6039660573005676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4350115656852722},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3994990885257721},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19412139058113098},{"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:10.1007/bf00290145","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00290145","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Informatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W109993195","https://openalex.org/W205664550","https://openalex.org/W1487018621","https://openalex.org/W1579433101","https://openalex.org/W1975551945","https://openalex.org/W2017597203","https://openalex.org/W2019389359","https://openalex.org/W2057648406","https://openalex.org/W2063514875","https://openalex.org/W2068356696","https://openalex.org/W2094874241","https://openalex.org/W2111706174","https://openalex.org/W2131361093","https://openalex.org/W2147543351","https://openalex.org/W2987907651","https://openalex.org/W3146075203","https://openalex.org/W4252118608"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}