{"id":"https://openalex.org/W2071044891","doi":"https://doi.org/10.1002/malq.200410010","title":"Bounded iteration and unary functions","display_name":"Bounded iteration and unary functions","publication_year":2004,"publication_date":"2004-11-25","ids":{"openalex":"https://openalex.org/W2071044891","doi":"https://doi.org/10.1002/malq.200410010","mag":"2071044891"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200410010","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200410010","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5023356985","display_name":"S. Mazzanti","orcid":"https://orcid.org/0000-0001-7923-566X"},"institutions":[{"id":"https://openalex.org/I11986463","display_name":"Universit\u00e0 Iuav di Venezia","ror":"https://ror.org/01e6ksd91","country_code":"IT","type":"education","lineage":["https://openalex.org/I11986463"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefano Mazzanti","raw_affiliation_strings":["Dipartimento di Arti e Disegno Industriale, Universita\u0300 Iuav di Venezia, Fondamenta delle Terese 2206, 30123 Venezia, Italy","Dipartimento di Arti e Disegno Industriale, Universit\u00e0 Iuav di Venezia, Fondamenta delle Terese 2206, 30123 Venezia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Arti e Disegno Industriale, Universita\u0300 Iuav di Venezia, Fondamenta delle Terese 2206, 30123 Venezia, Italy","institution_ids":["https://openalex.org/I11986463"]},{"raw_affiliation_string":"Dipartimento di Arti e Disegno Industriale, Universit\u00e0 Iuav di Venezia, Fondamenta delle Terese 2206, 30123 Venezia, Italy","institution_ids":["https://openalex.org/I11986463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023356985"],"corresponding_institution_ids":["https://openalex.org/I11986463"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.3454,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62483167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"51","issue":"1","first_page":"89","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9376999735832214,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9376999735832214,"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/unary-operation","display_name":"Unary operation","score":0.9710352420806885},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8366893529891968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8056853413581848},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5340437293052673},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5064975023269653},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.43014946579933167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4187003970146179},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10626286268234253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10538089275360107}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.9710352420806885},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8366893529891968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8056853413581848},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5340437293052673},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5064975023269653},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.43014946579933167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4187003970146179},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10626286268234253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10538089275360107}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.200410010","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200410010","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:air.iuav.it:11578/796","is_oa":false,"landing_page_url":"http://hdl.handle.net/11578/796","pdf_url":null,"source":{"id":"https://openalex.org/S4306400547","display_name":"AirIuav (Universit\u00e0 Iuav di Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11986463","host_organization_name":"Universit\u00e0 Iuav di Venezia","host_organization_lineage":["https://openalex.org/I11986463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W615345195","https://openalex.org/W1964283068","https://openalex.org/W1982054975","https://openalex.org/W1999590237","https://openalex.org/W2029478326","https://openalex.org/W2036996472","https://openalex.org/W2069175391","https://openalex.org/W2081112028","https://openalex.org/W2086178947","https://openalex.org/W2090640026"],"related_works":["https://openalex.org/W2888918612","https://openalex.org/W2166285859","https://openalex.org/W1582159526","https://openalex.org/W1578002326","https://openalex.org/W4388310202","https://openalex.org/W1589207578","https://openalex.org/W1792924550","https://openalex.org/W2310420552","https://openalex.org/W2359098868","https://openalex.org/W2091393031"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"set":[2],"of":[3,6,20],"unary":[4,24,29,35],"functions":[5,30,36],"complexity":[7],"classes":[8],"defined":[9],"by":[10,18],"using":[11,41],"bounded":[12,21,45],"primitive":[13],"recursion":[14],"is":[15],"inductively":[16,39],"characterized":[17,40],"means":[19],"iteration.":[22,46],"Elementary":[23],"functions,":[25],"linear":[26],"space":[27,33],"computable":[28,34],"and":[31,44],"polynomial":[32],"are":[37],"then":[38],"only":[42],"composition":[43],"(\u00a9":[47],"2004":[48],"WILEY\u2010VCH":[49],"Verlag":[50],"GmbH":[51],"&":[52],"Co.":[53],"KGaA,":[54],"Weinheim)":[55]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}