{"id":"https://openalex.org/W2138366464","doi":"https://doi.org/10.2178/jsl/1102022211","title":"Higher-order semantics and extensionality","display_name":"Higher-order semantics and extensionality","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W2138366464","doi":"https://doi.org/10.2178/jsl/1102022211","mag":"2138366464"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1102022211","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1102022211","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/A5055110324","display_name":"Christoph Benzm\u00fcller","orcid":"https://orcid.org/0000-0002-3392-3093"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christoph Benzm\u00fcller","raw_affiliation_strings":["Department of Computer Science, Saarland University, Saarbr\u00fccken, Germany, E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Saarland University, Saarbr\u00fccken, Germany, E-mail:","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031812667","display_name":"Chad E. Brown","orcid":"https://orcid.org/0000-0003-4050-4361"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chad E. Brown","raw_affiliation_strings":["Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, USA, E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, USA, E-mail:","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015060761","display_name":"Michael Kohlhase","orcid":"https://orcid.org/0000-0002-9859-6337"},"institutions":[{"id":"https://openalex.org/I193619901","display_name":"Constructor University","ror":"https://ror.org/02yrs2n53","country_code":"DE","type":"education","lineage":["https://openalex.org/I193619901"]},{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Michael Kohlhase","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, USA, E-mail:","School of Engineering and Sciences, International University Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, USA, E-mail:","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"School of Engineering and Sciences, International University Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I193619901"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055110324"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":null,"apc_paid":null,"fwci":6.0077,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.96099696,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"69","issue":"4","first_page":"1027","last_page":"1088"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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":0.9986000061035156,"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/extensionality","display_name":"Extensionality","score":0.9856319427490234},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.6484050154685974},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5878902077674866},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5825175046920776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4847973883152008},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42645174264907837},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4189738631248474},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3809933066368103},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3742554187774658},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2729620933532715},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07507887482643127},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04746347665786743}],"concepts":[{"id":"https://openalex.org/C150355047","wikidata":"https://www.wikidata.org/wiki/Q965432","display_name":"Extensionality","level":2,"score":0.9856319427490234},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.6484050154685974},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5878902077674866},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5825175046920776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4847973883152008},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42645174264907837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4189738631248474},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3809933066368103},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3742554187774658},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2729620933532715},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07507887482643127},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04746347665786743},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1102022211","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1102022211","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/1102022211","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1102022211","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:10.1.1.121.7435","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.7435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ags.uni-sb.de/~chris/papers/J6.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W566788094","https://openalex.org/W1485115793","https://openalex.org/W1495260736","https://openalex.org/W1496386645","https://openalex.org/W1521083034","https://openalex.org/W1536217426","https://openalex.org/W1540912919","https://openalex.org/W1546616265","https://openalex.org/W1551326782","https://openalex.org/W1554618854","https://openalex.org/W1567910670","https://openalex.org/W1570712623","https://openalex.org/W1580164595","https://openalex.org/W1585533089","https://openalex.org/W1606119104","https://openalex.org/W1606841838","https://openalex.org/W1607953571","https://openalex.org/W1661653767","https://openalex.org/W1769049439","https://openalex.org/W1792796866","https://openalex.org/W1974725248","https://openalex.org/W1975523900","https://openalex.org/W1984201153","https://openalex.org/W1996404651","https://openalex.org/W2009247993","https://openalex.org/W2022607815","https://openalex.org/W2022937548","https://openalex.org/W2023145007","https://openalex.org/W2023460305","https://openalex.org/W2034155940","https://openalex.org/W2040723389","https://openalex.org/W2045304669","https://openalex.org/W2046306553","https://openalex.org/W2048297078","https://openalex.org/W2075352622","https://openalex.org/W2084788336","https://openalex.org/W2084797476","https://openalex.org/W2088900498","https://openalex.org/W2099261111","https://openalex.org/W2106192381","https://openalex.org/W2109703800","https://openalex.org/W2110860127","https://openalex.org/W2114804254","https://openalex.org/W2115610240","https://openalex.org/W2149236366","https://openalex.org/W2160331299","https://openalex.org/W2162564051","https://openalex.org/W2165434002","https://openalex.org/W2172019237","https://openalex.org/W2283309990","https://openalex.org/W2313175711","https://openalex.org/W2487666141","https://openalex.org/W2509974029","https://openalex.org/W2568721247","https://openalex.org/W2904687007","https://openalex.org/W2911959697","https://openalex.org/W3039529476","https://openalex.org/W4210285581","https://openalex.org/W4233253115","https://openalex.org/W4299731435","https://openalex.org/W6632344615"],"related_works":["https://openalex.org/W2922343235","https://openalex.org/W123396743","https://openalex.org/W2572376253","https://openalex.org/W2064861136","https://openalex.org/W2762953140","https://openalex.org/W1895537820","https://openalex.org/W2149318139","https://openalex.org/W3106670512","https://openalex.org/W1976356023","https://openalex.org/W4323929292"],"abstract_inverted_index":{"Abstract.":[0],"In":[1],"this":[2,23],"paper":[3],"we":[4,25,47],"re-examine":[5],"the":[6,13,17,57],"semantics":[7],"of":[8,15,19,29,37,43,51,66],"classical":[9],"higher-order":[10,30,68],"logic":[11],"with":[12,32,70],"purpose":[14],"clarifying":[16],"role":[18],"extensionality.":[20,45],"To":[21],"reach":[22],"goal,":[24],"distinguish":[26],"nine":[27],"classes":[28],"models":[31],"respect":[33,71],"to":[34,63,72],"various":[35],"combinations":[36],"Boolean":[38],"extensionality":[39],"and":[40],"three":[41],"forms":[42],"functional":[44],"Furthermore,":[46],"develop":[48],"a":[49],"methodology":[50],"abstract":[52],"consistency":[53],"methods":[54],"(by":[55],"providing":[56],"necessary":[58],"model":[59,74],"existence":[60],"theorems)":[61],"needed":[62],"analyze":[64],"completeness":[65],"(machine-oriented)":[67],"calculi":[69],"these":[73],"classes.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
