{"id":"https://openalex.org/W1992801334","doi":"https://doi.org/10.1016/s0304-3975(00)00355-8","title":"Least and greatest fixed points in intuitionistic natural deduction","display_name":"Least and greatest fixed points in intuitionistic natural deduction","publication_year":2002,"publication_date":"2002-02-01","ids":{"openalex":"https://openalex.org/W1992801334","doi":"https://doi.org/10.1016/s0304-3975(00)00355-8","mag":"1992801334"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(00)00355-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00355-8","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5074922343","display_name":"Tarmo Uustalu","orcid":"https://orcid.org/0000-0002-1297-0579"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":true,"raw_author_name":"Tarmo Uustalu","raw_affiliation_strings":["Institute of Cybernetics at Tallinn Technical University, Akadeemia tee 21, EE-12618 Tallinn, Estonia","Institute of Cybernetics at Tallinn Technical Univ., Tallinn, Estonia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Cybernetics at Tallinn Technical University, Akadeemia tee 21, EE-12618 Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]},{"raw_affiliation_string":"Institute of Cybernetics at Tallinn Technical Univ., Tallinn, Estonia#TAB#","institution_ids":["https://openalex.org/I111112146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069353491","display_name":"Varmo Vene","orcid":"https://orcid.org/0000-0002-4874-7555"},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Varmo Vene","raw_affiliation_strings":["Institute of Computer Science, University of Tartu, J. Liivi 2, EE-50409 Tartu, Estonia","University of Tartu Tartu Estonia"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Tartu, J. Liivi 2, EE-50409 Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]},{"raw_affiliation_string":"University of Tartu Tartu Estonia","institution_ids":["https://openalex.org/I56085075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074922343"],"corresponding_institution_ids":["https://openalex.org/I111112146"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":1.2784,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.82201787,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"272","issue":"1-2","first_page":"315","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9972000122070312,"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/mathematics","display_name":"Mathematics","score":0.7571513652801514},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.6478406190872192},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.6475588083267212},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.6131451725959778},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5816957950592041},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5391415357589722},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4852006733417511},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4697452187538147},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.4282355010509491},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4216497540473938},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4015374779701233}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7571513652801514},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.6478406190872192},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.6475588083267212},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.6131451725959778},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5816957950592041},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5391415357589722},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4852006733417511},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4697452187538147},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.4282355010509491},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4216497540473938},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4015374779701233},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0304-3975(00)00355-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00355-8","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.36.840","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ioc.ee/~tarmo/papers/ttp-tokyo97.ps.gz","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":47,"referenced_works":["https://openalex.org/W4861723","https://openalex.org/W165446927","https://openalex.org/W174318719","https://openalex.org/W321533831","https://openalex.org/W622428302","https://openalex.org/W1196275239","https://openalex.org/W1479802504","https://openalex.org/W1495843174","https://openalex.org/W1501402401","https://openalex.org/W1504424419","https://openalex.org/W1513579486","https://openalex.org/W1531264879","https://openalex.org/W1536939176","https://openalex.org/W1558180172","https://openalex.org/W1566576475","https://openalex.org/W1581378641","https://openalex.org/W1589398330","https://openalex.org/W1852211073","https://openalex.org/W1949275316","https://openalex.org/W1974190112","https://openalex.org/W1980786790","https://openalex.org/W1987091892","https://openalex.org/W1988932014","https://openalex.org/W2002097974","https://openalex.org/W2002293839","https://openalex.org/W2003295197","https://openalex.org/W2046213250","https://openalex.org/W2047063760","https://openalex.org/W2078334802","https://openalex.org/W2086054252","https://openalex.org/W2089576225","https://openalex.org/W2111858237","https://openalex.org/W2116908067","https://openalex.org/W2160809209","https://openalex.org/W2164343886","https://openalex.org/W2742270218","https://openalex.org/W4244792373","https://openalex.org/W6628768394","https://openalex.org/W6629723567","https://openalex.org/W6630237704","https://openalex.org/W6631626379","https://openalex.org/W6633479193","https://openalex.org/W6638910465","https://openalex.org/W6640857702","https://openalex.org/W6647069922","https://openalex.org/W6647833455","https://openalex.org/W6683244828"],"related_works":["https://openalex.org/W2137780954","https://openalex.org/W2023557900","https://openalex.org/W1488351281","https://openalex.org/W2891688494","https://openalex.org/W2584381231","https://openalex.org/W4236940717","https://openalex.org/W2096191306","https://openalex.org/W4289719533","https://openalex.org/W4251049234","https://openalex.org/W1562648369"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}