{"id":"https://openalex.org/W2018940329","doi":"https://doi.org/10.2178/jsl/1140641178","title":"Bounded modified realizability","display_name":"Bounded modified realizability","publication_year":2006,"publication_date":"2006-03-01","ids":{"openalex":"https://openalex.org/W2018940329","doi":"https://doi.org/10.2178/jsl/1140641178","mag":"2018940329"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1140641178","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1140641178","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/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":["Departamento de Matem\u00e1tica, Universidade de Lisboa, P-1749-016 Lisboa, Portugal. E-mail:"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Lisboa, P-1749-016 Lisboa, Portugal. E-mail:","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108432500","display_name":"Ana Karolina Santana Nunes","orcid":"https://orcid.org/0000-0002-1284-4281"},"institutions":[{"id":"https://openalex.org/I71503853","display_name":"University of Algarve","ror":"https://ror.org/014g34x36","country_code":"PT","type":"education","lineage":["https://openalex.org/I71503853"]},{"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":false,"raw_author_name":"Ana Nunes","raw_affiliation_strings":["CMAF -Universidade de Lisboa, P-1649-003 Lisboa, Portugal. E-mail:","Departamento de Matem\u00e1tica, Universidade do Algarve, P-8000 FARO, Portugal"],"affiliations":[{"raw_affiliation_string":"CMAF -Universidade de Lisboa, P-1649-003 Lisboa, Portugal. E-mail:","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade do Algarve, P-8000 FARO, Portugal","institution_ids":["https://openalex.org/I71503853"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043193622"],"corresponding_institution_ids":["https://openalex.org/I141596103"],"apc_list":null,"apc_paid":null,"fwci":0.6741,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.69988064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"71","issue":"1","first_page":"329","last_page":"346"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9886999726295471,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9842000007629395,"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/realizability","display_name":"Realizability","score":0.9247126579284668},{"id":"https://openalex.org/keywords/omniscience","display_name":"Omniscience","score":0.7009450197219849},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6569048166275024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.571017324924469},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5182557106018066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4385571777820587},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4295156002044678},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4252963662147522},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4000254273414612},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37810787558555603},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.13732892274856567},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12426334619522095},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09228795766830444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06284606456756592}],"concepts":[{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.9247126579284668},{"id":"https://openalex.org/C2776127325","wikidata":"https://www.wikidata.org/wiki/Q1424662","display_name":"Omniscience","level":2,"score":0.7009450197219849},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6569048166275024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.571017324924469},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5182557106018066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4385571777820587},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4295156002044678},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4252963662147522},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4000254273414612},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37810787558555603},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.13732892274856567},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12426334619522095},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09228795766830444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06284606456756592},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1140641178","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1140641178","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1140641178","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1140641178","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.76.4794","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.76.4794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ciul.ul.pt/~ferferr/BbRealc.pdf","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":17,"referenced_works":["https://openalex.org/W56026579","https://openalex.org/W149507330","https://openalex.org/W1485672136","https://openalex.org/W1525064220","https://openalex.org/W1587799979","https://openalex.org/W1590304156","https://openalex.org/W1608607427","https://openalex.org/W1973185693","https://openalex.org/W2004000165","https://openalex.org/W2028602249","https://openalex.org/W2043566933","https://openalex.org/W2071514253","https://openalex.org/W2097978997","https://openalex.org/W2118633760","https://openalex.org/W4246886636","https://openalex.org/W4248790316","https://openalex.org/W6602273558"],"related_works":["https://openalex.org/W4248372751","https://openalex.org/W2161544178","https://openalex.org/W1603488308","https://openalex.org/W4205566478","https://openalex.org/W4298120007","https://openalex.org/W2136737082","https://openalex.org/W2000259696","https://openalex.org/W2321910655","https://openalex.org/W3173554384","https://openalex.org/W1997250390"],"abstract_inverted_index":{"Abstract":[0],"We":[1,65],"define":[2],"a":[3,9,36],"notion":[4],"of":[5,12,21,33,40,59],"realizability,":[6],"based":[7],"on":[8],"new":[10],"assignment":[11],"formulas,":[13],"which":[14],"does":[15],"not":[16],"care":[17],"for":[18,26,28],"precise":[19],"witnesses":[20],"existential":[22],"statements,":[23],"but":[24,47],"only":[25],"bounds":[27],"them.":[29],"The":[30],"novel":[31],"form":[32,39],"realizability":[34],"supports":[35],"very":[37],"general":[38],"the":[41,55,76],"FAN":[42],"theorem,":[43],"refutes":[44],"Markov's":[45],"principle":[46,58],"meshes":[48],"well":[49,70],"with":[50],"some":[51,67,72],"classical":[52],"principles,":[53],"including":[54],"lesser":[56],"limited":[57],"omniscience":[60],"and":[61],"weak":[62],"K\u00f6nig's":[63],"lemma.":[64],"discuss":[66],"applications,":[68],"as":[69,71],"previous":[73],"results":[74],"in":[75],"literature.":[77]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"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"}