{"id":"https://openalex.org/W2031534119","doi":"https://doi.org/10.1305/ndjfl/1093636104","title":"Unary interpretability logic.","display_name":"Unary interpretability logic.","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2031534119","doi":"https://doi.org/10.1305/ndjfl/1093636104","mag":"2031534119"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093636104","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636104","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Unary-interpretability-logic/10.1305/ndjfl/1093636104.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Unary-interpretability-logic/10.1305/ndjfl/1093636104.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031439294","display_name":"Maarten de Rijke","orcid":"https://orcid.org/0000-0002-1086-0202"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Maarten de Rijke","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031439294"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.13871375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"33","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9889000058174133,"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":0.9889000058174133,"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":0.9796000123023987,"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":0.780150294303894},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.7384573221206665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4725477397441864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4103964865207672},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3675956726074219},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33766257762908936},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3049442768096924}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.780150294303894},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.7384573221206665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4725477397441864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4103964865207672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3675956726074219},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33766257762908936},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3049442768096924}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093636104","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636104","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Unary-interpretability-logic/10.1305/ndjfl/1093636104.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093636104","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093636104","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"}],"best_oa_location":{"id":"doi:10.1305/ndjfl/1093636104","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636104","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Unary-interpretability-logic/10.1305/ndjfl/1093636104.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321008","display_name":"Universiteit van Amsterdam","ror":"https://ror.org/04dkp9463"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031534119.pdf","grobid_xml":"https://content.openalex.org/works/W2031534119.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1980818842","https://openalex.org/W2016617619","https://openalex.org/W2086768898","https://openalex.org/W2143346393","https://openalex.org/W2166930711","https://openalex.org/W2285206492","https://openalex.org/W4239914544","https://openalex.org/W4253934133","https://openalex.org/W6654711543","https://openalex.org/W6684424830","https://openalex.org/W6822102969"],"related_works":["https://openalex.org/W4281750679","https://openalex.org/W2945425490","https://openalex.org/W2043070162","https://openalex.org/W2968260065","https://openalex.org/W1974360440","https://openalex.org/W4206534706","https://openalex.org/W2947762898","https://openalex.org/W4229079080","https://openalex.org/W4386025632","https://openalex.org/W4386893150"],"abstract_inverted_index":{"Let":[0],"T":[1,12],"be":[2,14],"an":[3],"arithmetical":[4],"theory.":[5],"We":[6,24,39],"introduce":[7],"a":[8],"unary":[9,19],"modal":[10,44],"operator":[11],"to":[13],"interpreted":[15],"arithmetically":[16],"as":[17],"the":[18,29],"interpretability":[20,31],"predicate":[21],"over":[22],"T.":[23],"present":[25],"complete":[26],"axiomatizations":[27],"of":[28,37],"(unary)":[30],"principles":[32],"underlying":[33],"two":[34],"important":[35],"classes":[36],"theories.":[38],"also":[40],"prove":[41],"some":[42],"basic":[43],"results":[45],"about":[46],"these":[47],"new":[48],"axiomatizations.":[49]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}