{"id":"https://openalex.org/W2149325295","doi":"https://doi.org/10.1016/0167-6423(83)90004-7","title":"Proof rules and transformations dealing with fairness","display_name":"Proof rules and transformations dealing with fairness","publication_year":1983,"publication_date":"1983-04-01","ids":{"openalex":"https://openalex.org/W2149325295","doi":"https://doi.org/10.1016/0167-6423(83)90004-7","mag":"2149325295"},"language":"en","primary_location":{"id":"doi:10.1016/0167-6423(83)90004-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-6423(83)90004-7","pdf_url":null,"source":{"id":"https://openalex.org/S21029587","display_name":"Science of Computer Programming","issn_l":"0167-6423","issn":["0167-6423","1872-7964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science of Computer Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/10274/10274D.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042418599","display_name":"Krzysztof R. Apt","orcid":"https://orcid.org/0000-0002-1332-4229"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"K.R. Apt","raw_affiliation_strings":["LITP, Universit\u00e9 Paris VII, 75251 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LITP, Universit\u00e9 Paris VII, 75251 Paris, France","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084773409","display_name":"Ernst-R\u00fcdiger Olderog","orcid":"https://orcid.org/0000-0002-3600-2046"},"institutions":[{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]},{"id":"https://openalex.org/I32021983","display_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"E.-R. Olderog","raw_affiliation_strings":["Institut f\u00fcr Informatik und Praktische Mathematik, Christian-Albrechts-Universit\u00e4t Kiel, 2300 Kiel 1, Germany","Oxford University Computing Laboratory, Programming Research Group, Oxford, OX1 3QD, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik und Praktische Mathematik, Christian-Albrechts-Universit\u00e4t Kiel, 2300 Kiel 1, Germany","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Oxford University Computing Laboratory, Programming Research Group, Oxford, OX1 3QD, United Kingdom","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2460,"currency":"USD","value_usd":2460},"apc_paid":null,"fwci":12.995,"has_fulltext":true,"cited_by_count":88,"citation_normalized_percentile":{"value":0.98816356,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"1","first_page":"65","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.989799976348877,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.989799976348877,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9868999719619751,"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":0.9796000123023987,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8783767223358154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8413068652153015},{"id":"https://openalex.org/keywords/dijkstras-algorithm","display_name":"Dijkstra's algorithm","score":0.6380969285964966},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6272798776626587},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5226495265960693},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.4440126121044159},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4335525929927826},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43117645382881165},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4001842737197876},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.38357049226760864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34613800048828125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14465951919555664},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.07009655237197876},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.05481317639350891}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8783767223358154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8413068652153015},{"id":"https://openalex.org/C173870130","wikidata":"https://www.wikidata.org/wiki/Q8548","display_name":"Dijkstra's algorithm","level":4,"score":0.6380969285964966},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6272798776626587},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5226495265960693},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.4440126121044159},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4335525929927826},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43117645382881165},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4001842737197876},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.38357049226760864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34613800048828125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14465951919555664},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07009655237197876},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.05481317639350891},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0167-6423(83)90004-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-6423(83)90004-7","pdf_url":null,"source":{"id":"https://openalex.org/S21029587","display_name":"Science of Computer Programming","issn_l":"0167-6423","issn":["0167-6423","1872-7964"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science of Computer Programming","raw_type":"journal-article"},{"id":"pmh:oai:cwi.nl:10274","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/10274","pdf_url":"https://ir.cwi.nl/pub/10274/10274D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":"Science of Computer Programming vol. 3, pp. 65-100","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:10274","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/10274","pdf_url":"https://ir.cwi.nl/pub/10274/10274D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":"Science of Computer Programming vol. 3, pp. 65-100","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2149325295.pdf","grobid_xml":"https://content.openalex.org/works/W2149325295.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W15971364","https://openalex.org/W1429790969","https://openalex.org/W1483337395","https://openalex.org/W1798280647","https://openalex.org/W1970603830","https://openalex.org/W1994227664","https://openalex.org/W2002128397","https://openalex.org/W2025113826","https://openalex.org/W2058630223","https://openalex.org/W2103953153","https://openalex.org/W2143417417","https://openalex.org/W6600670860","https://openalex.org/W6628940350","https://openalex.org/W6638298327","https://openalex.org/W6650799790","https://openalex.org/W6654148496","https://openalex.org/W6680974542"],"related_works":["https://openalex.org/W2914866117","https://openalex.org/W2166247150","https://openalex.org/W3008492407","https://openalex.org/W1820941065","https://openalex.org/W2133996617","https://openalex.org/W4239682198","https://openalex.org/W1991372379","https://openalex.org/W2949299018","https://openalex.org/W2149325295","https://openalex.org/W2139455935"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
