{"id":"https://openalex.org/W2074338252","doi":"https://doi.org/10.1016/0168-0072(88)90055-3","title":"Proof-theoretical analysis: weak systems of functions and classes","display_name":"Proof-theoretical analysis: weak systems of functions and classes","publication_year":1988,"publication_date":"1988-04-01","ids":{"openalex":"https://openalex.org/W2074338252","doi":"https://doi.org/10.1016/0168-0072(88)90055-3","mag":"2074338252"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(88)90055-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(88)90055-3","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","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/A5110937376","display_name":"L. Gordeev","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"L. Gordeev","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 7400 T\u00fcbingen, Fed. Rep. Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 7400 T\u00fcbingen, Fed. Rep. Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110937376"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":2.8921,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91773562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"38","issue":"1","first_page":"1","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6519411206245422},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.48501846194267273},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3940194547176361},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3878073990345001},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31815260648727417},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06221872568130493}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6519411206245422},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.48501846194267273},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3940194547176361},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3878073990345001},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31815260648727417},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06221872568130493},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0168-0072(88)90055-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(88)90055-3","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","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":57,"referenced_works":["https://openalex.org/W4861723","https://openalex.org/W77027564","https://openalex.org/W87922972","https://openalex.org/W126568045","https://openalex.org/W132341161","https://openalex.org/W165729215","https://openalex.org/W630752320","https://openalex.org/W1498926208","https://openalex.org/W1518475516","https://openalex.org/W1579817075","https://openalex.org/W1581824324","https://openalex.org/W1608607427","https://openalex.org/W1763978647","https://openalex.org/W1793763201","https://openalex.org/W1933172573","https://openalex.org/W1978270323","https://openalex.org/W1990224856","https://openalex.org/W1992216257","https://openalex.org/W1994999396","https://openalex.org/W2003467926","https://openalex.org/W2007823114","https://openalex.org/W2017259236","https://openalex.org/W2024315465","https://openalex.org/W2031991367","https://openalex.org/W2039977878","https://openalex.org/W2043566933","https://openalex.org/W2071823993","https://openalex.org/W2085335923","https://openalex.org/W2087185740","https://openalex.org/W2092169546","https://openalex.org/W2097311580","https://openalex.org/W2106718208","https://openalex.org/W2131181713","https://openalex.org/W2143783615","https://openalex.org/W2151520617","https://openalex.org/W2268847858","https://openalex.org/W2272162156","https://openalex.org/W2318443385","https://openalex.org/W2321859805","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W2969873114","https://openalex.org/W3039529476","https://openalex.org/W4206658284","https://openalex.org/W4232423688","https://openalex.org/W6603118906","https://openalex.org/W6603575973","https://openalex.org/W6605363006","https://openalex.org/W6606701056","https://openalex.org/W6620065289","https://openalex.org/W6629898773","https://openalex.org/W6634587778","https://openalex.org/W6637850932","https://openalex.org/W6640363532","https://openalex.org/W6674999329","https://openalex.org/W6693739552","https://openalex.org/W6694277973"],"related_works":["https://openalex.org/W1989920940","https://openalex.org/W4249580765","https://openalex.org/W2096753949","https://openalex.org/W3103780039","https://openalex.org/W1985218657","https://openalex.org/W1557945163","https://openalex.org/W2963341196","https://openalex.org/W2036077645","https://openalex.org/W3124205579","https://openalex.org/W2073994398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
