{"id":"https://openalex.org/W2166248666","doi":"https://doi.org/10.1007/10704567_2","title":"On Formalised Proofs of Termination of Recursive Functions","display_name":"On Formalised Proofs of Termination of Recursive Functions","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2166248666","doi":"https://doi.org/10.1007/10704567_2","mag":"2166248666"},"language":"en","primary_location":{"id":"doi:10.1007/10704567_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10704567_2","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/A5114253581","display_name":"Fairouz Kamareddine","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fairouz Kamareddine","raw_affiliation_strings":["Department of Computing and Electrical Engineering, Heriot-Watt University, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Electrical Engineering, Heriot-Watt University, Edinburgh, Scotland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069501656","display_name":"Fran\u00e7ois Monin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Monin","raw_affiliation_strings":["Department of Computing and Electrical Engineering, Heriot-Watt University, Edinburgh, Scotland"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Electrical Engineering, Heriot-Watt University, Edinburgh, Scotland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5114253581"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7215,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72205381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"29","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9986000061035156,"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":0.9986000061035156,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9860000014305115,"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":0.9829999804496765,"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":0.9408183097839355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6832907199859619},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6747176647186279},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6303905248641968},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.48684924840927124},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4792368710041046},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.469982773065567},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.455658882856369},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.44431424140930176},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4233846962451935},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41702941060066223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3928528428077698},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38968193531036377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3032473921775818},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23613208532333374},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1388903260231018}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.9408183097839355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6832907199859619},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6747176647186279},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6303905248641968},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.48684924840927124},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4792368710041046},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.469982773065567},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.455658882856369},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.44431424140930176},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4233846962451935},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41702941060066223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3928528428077698},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38968193531036377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3032473921775818},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23613208532333374},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1388903260231018},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/10704567_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10704567_2","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.8.6285","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.6285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.macs.hw.ac.uk/~fairouz/papers/conference-publications/ppdp99.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W635066561","https://openalex.org/W1532420827","https://openalex.org/W1543743138","https://openalex.org/W1560253649","https://openalex.org/W1585430973","https://openalex.org/W1590828018","https://openalex.org/W1824811811","https://openalex.org/W1891867366","https://openalex.org/W1987494796","https://openalex.org/W1990295079","https://openalex.org/W1994958005","https://openalex.org/W2002293839","https://openalex.org/W2038571924","https://openalex.org/W2099078002","https://openalex.org/W2129351221","https://openalex.org/W2149605327","https://openalex.org/W2154527146","https://openalex.org/W2500326766","https://openalex.org/W2561675875","https://openalex.org/W6999430152"],"related_works":["https://openalex.org/W3100311625","https://openalex.org/W1589866633","https://openalex.org/W2906661256","https://openalex.org/W1976278597","https://openalex.org/W2952921853","https://openalex.org/W1622100773","https://openalex.org/W2099785256","https://openalex.org/W2809689211","https://openalex.org/W2105747912","https://openalex.org/W2522499048"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}