{"id":"https://openalex.org/W2135427238","doi":"https://doi.org/10.1002/malq.200510035","title":"Counting as integration in feasible analysis","display_name":"Counting as integration in feasible analysis","publication_year":2006,"publication_date":"2006-05-11","ids":{"openalex":"https://openalex.org/W2135427238","doi":"https://doi.org/10.1002/malq.200510035","mag":"2135427238"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200510035","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200510035","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/A5043193622","display_name":"Fernando Ferreira","orcid":"https://orcid.org/0000-0002-8693-7210"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Fernando Ferreira","raw_affiliation_strings":["CMAF \u2010 Universidade de Lisboa, P\u20101649\u2010003 Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAF \u2010 Universidade de Lisboa, P\u20101649\u2010003 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012426547","display_name":"Gilda Ferreira","orcid":"https://orcid.org/0000-0003-1447-9764"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Gilda Ferreira","raw_affiliation_strings":["CMAF - Universidade de Lisboa, P-1649-003 Lisboa, Portugal","CMAF \u2010 Universidade de Lisboa, P\u20101649\u2010003 Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAF - Universidade de Lisboa, P-1649-003 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"CMAF \u2010 Universidade de Lisboa, P\u20101649\u2010003 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012426547","https://openalex.org/A5043193622"],"corresponding_institution_ids":["https://openalex.org/I141596103"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.3371,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63961455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"52","issue":"3","first_page":"315","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9969000220298767,"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":0.9922999739646912,"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/computability","display_name":"Computability","score":0.7802364826202393},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.6676523685455322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.580845296382904},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.55887770652771},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.5326433181762695},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.47526711225509644},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3804570138454437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32755064964294434},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3138675391674042},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14660990238189697},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12126457691192627},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.053670912981033325}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.7802364826202393},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.6676523685455322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.580845296382904},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.55887770652771},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.5326433181762695},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.47526711225509644},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3804570138454437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32755064964294434},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3138675391674042},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14660990238189697},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12126457691192627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.053670912981033325},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200510035","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200510035","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W77620528","https://openalex.org/W133350300","https://openalex.org/W1545819195","https://openalex.org/W1556453281","https://openalex.org/W1572451808","https://openalex.org/W1607926272","https://openalex.org/W2002385864","https://openalex.org/W2006786362","https://openalex.org/W2021956337","https://openalex.org/W2034024391","https://openalex.org/W2139227798","https://openalex.org/W2164017389","https://openalex.org/W4241903158","https://openalex.org/W4248733413"],"related_works":["https://openalex.org/W159680751","https://openalex.org/W145779977","https://openalex.org/W2197939068","https://openalex.org/W2759753768","https://openalex.org/W2951237399","https://openalex.org/W2102369008","https://openalex.org/W4298289669","https://openalex.org/W4210673264","https://openalex.org/W3163923091","https://openalex.org/W1514611564"],"abstract_inverted_index":{"Abstract":[0],"Suppose":[1],"that":[2,23,40,61],"it":[3,21],"is":[4,64],"possible":[5],"to":[6,16,30,36],"integrate":[7],"real":[8],"functions":[9],"over":[10],"a":[11,50,54],"weak":[12],"base":[13],"theory":[14],"related":[15],"polynomial":[17],"time":[18],"computability.":[19],"Does":[20],"follow":[22],"we":[24],"can":[25],"count?":[26],"The":[27],"answer":[28,63],"seems":[29],"be:":[31],"obviously":[32],"yes!":[33],"We":[34],"try":[35],"convince":[37],"the":[38,41,62],"reader":[39],"severe":[42],"restrictions":[43],"on":[44],"induction":[45],"in":[46],"feasible":[47],"theories":[48],"preclude":[49],"straightforward":[51],"answer.":[52],"Nevertheless,":[53],"more":[55],"sophisticated":[56],"reflection":[57],"does":[58],"indeed":[59],"show":[60],"affirmative.":[65],"(\u00a9":[66],"2006":[67],"WILEY\u2010VCH":[68],"Verlag":[69],"GmbH":[70],"&":[71],"Co.":[72],"KGaA,":[73],"Weinheim)":[74]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}