{"id":"https://openalex.org/W2084427539","doi":"https://doi.org/10.1093/logcom/exn014","title":"Complete Axiomatization of Discrete-Measure Almost-Everywhere Quantification","display_name":"Complete Axiomatization of Discrete-Measure Almost-Everywhere Quantification","publication_year":2008,"publication_date":"2008-04-24","ids":{"openalex":"https://openalex.org/W2084427539","doi":"https://doi.org/10.1093/logcom/exn014","mag":"2084427539"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exn014","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exn014","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10451/14844","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082561369","display_name":"Lu\u0131\u0301s Cruz-Filipe","orcid":"https://orcid.org/0000-0002-7866-7484"},"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":false,"raw_author_name":"L. Cruz-Filipe","raw_affiliation_strings":["Lasige and Dep. Inform\u00e1tica, FC, U Lisbon, Portugal","Lasige and Dep. Inform\u00e1tica, FC, U Lisbon, Portugal.E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lasige and Dep. Inform\u00e1tica, FC, U Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"Lasige and Dep. Inform\u00e1tica, FC, U Lisbon, Portugal.E-mail:","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008640428","display_name":"Jo\u00e3o Rasga","orcid":"https://orcid.org/0000-0002-1239-8496"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"J. Rasga","raw_affiliation_strings":["SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal","SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal.E-mail: ; ;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal.E-mail: ; ;","institution_ids":["https://openalex.org/I4210120471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105822466","display_name":"Am\u0131\u0301lcar Sernadas","orcid":"https://orcid.org/0000-0001-7895-8436"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A. Sernadas","raw_affiliation_strings":["SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal","SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal.E-mail: ; ;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal.E-mail: ; ;","institution_ids":["https://openalex.org/I4210120471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020274709","display_name":"Cristina Sernadas","orcid":"https://orcid.org/0000-0002-5510-3512"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"C. Sernadas","raw_affiliation_strings":["SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal","SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal.E-mail: ; ;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"SQIG - Instituto de Telecomunica\u00e7\u00f5es and Dep. Matem\u00e1tica, IST, TU Lisbon, Portugal.E-mail: ; ;","institution_ids":["https://openalex.org/I4210120471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.0887679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"6","first_page":"885","last_page":"911"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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":0.9980000257492065,"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/almost-everywhere","display_name":"Almost everywhere","score":0.7226149439811707},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.702873945236206},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.6818833947181702},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.6703370809555054},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5678176879882812},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5442585349082947},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5349147915840149},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.4856344759464264},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.4546518623828888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4514455497264862},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4511902332305908},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43248021602630615},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4193885326385498},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39936205744743347},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36510467529296875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3319717049598694},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1828955113887787},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14030444622039795}],"concepts":[{"id":"https://openalex.org/C27142425","wikidata":"https://www.wikidata.org/wiki/Q1139334","display_name":"Almost everywhere","level":2,"score":0.7226149439811707},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.702873945236206},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.6818833947181702},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.6703370809555054},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5678176879882812},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5442585349082947},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5349147915840149},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.4856344759464264},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.4546518623828888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4514455497264862},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4511902332305908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43248021602630615},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4193885326385498},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39936205744743347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36510467529296875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3319717049598694},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1828955113887787},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14030444622039795},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":4,"locations":[{"id":"doi:10.1093/logcom/exn014","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exn014","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.222.505","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.222.505","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.math.ist.utl.pt/ftp/pub/CruzFilipeL/06-CRSS-folae.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.64.3807","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.64.3807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wslc.math.ist.utl.pt/ftp/pub/SernadasA/06-CRSS-folae.pdf","raw_type":"text"},{"id":"pmh:oai:repositorio.ul.pt:10451/14844","is_oa":true,"landing_page_url":"http://hdl.handle.net/10451/14844","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:repositorio.ul.pt:10451/14844","is_oa":true,"landing_page_url":"http://hdl.handle.net/10451/14844","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4399999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328988","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W12654550","https://openalex.org/W152120648","https://openalex.org/W1504338820","https://openalex.org/W1512728698","https://openalex.org/W1571008965","https://openalex.org/W1760594424","https://openalex.org/W1965552673","https://openalex.org/W1970606468","https://openalex.org/W1982874112","https://openalex.org/W1993336342","https://openalex.org/W2005800778","https://openalex.org/W2019217430","https://openalex.org/W2022358216","https://openalex.org/W2048748334","https://openalex.org/W2048953720","https://openalex.org/W2056099894","https://openalex.org/W2075570681","https://openalex.org/W2080309222","https://openalex.org/W2083156974","https://openalex.org/W2090190027","https://openalex.org/W2099315605","https://openalex.org/W2102632421","https://openalex.org/W2105518356","https://openalex.org/W2106880005","https://openalex.org/W2127035198","https://openalex.org/W2155322595","https://openalex.org/W2295428206","https://openalex.org/W2610670723","https://openalex.org/W2946824309","https://openalex.org/W2954301182","https://openalex.org/W3031048092","https://openalex.org/W4210589687","https://openalex.org/W4236573881","https://openalex.org/W4236828747"],"related_works":["https://openalex.org/W13634261","https://openalex.org/W56937029","https://openalex.org/W3163509751","https://openalex.org/W958050847","https://openalex.org/W1548499332","https://openalex.org/W2396405675","https://openalex.org/W1549730417","https://openalex.org/W1994524667","https://openalex.org/W3145683101","https://openalex.org/W4298974867"],"abstract_inverted_index":{"Following":[0],"recent":[1],"developments":[2],"in":[3,12,15],"the":[4,16,39,42,52,58,63,78],"topic":[5],"of":[6,18,26,38,51,57,71,77],"generalized":[7,72],"quantifiers,":[8],"and":[9,20,62,84],"also":[10],"having":[11],"mind":[13],"applications":[14],"areas":[17],"security":[19],"artificial":[21],"intelligence,":[22],"a":[23,49],"conservative":[24],"enrichment":[25],"(two-sorted)":[27],"first-order":[28],"logic":[29,79],"(FOL)":[30],"with":[31,68],"almost-everywhere":[32,64],"quantification":[33],"is":[34,45,60,66,80,86],"proposed.":[35],"The":[36,55],"completeness":[37],"axiomatization":[40],"against":[41],"measure-heoretic":[43],"semantics":[44],"carried":[46],"out":[47],"using":[48],"variant":[50],"Lindenbaum\u2013Henkin":[53],"technique.":[54],"independence":[56],"axioms":[59],"analysed,":[61],"quantifier":[65],"compared":[67],"related":[69],"notions":[70],"quantification.":[73],"A":[74],"suitable":[75],"fragment":[76],"translated":[81],"to":[82,88],"FOL":[83],"validity":[85],"shown":[87],"be":[89],"preserved.":[90]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}