{"id":"https://openalex.org/W2074487014","doi":"https://doi.org/10.1305/ndjfl/1093635080","title":"Monadic $\\Pi^1_1$-theories of $\\Pi_1^1$}-properties.","display_name":"Monadic $\\Pi^1_1$-theories of $\\Pi_1^1$}-properties.","publication_year":1989,"publication_date":"1989-03-01","ids":{"openalex":"https://openalex.org/W2074487014","doi":"https://doi.org/10.1305/ndjfl/1093635080","mag":"2074487014"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093635080","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635080","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Monadic-Pi1_1-theories-of-Pi_11-properties/10.1305/ndjfl/1093635080.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-30/issue-2/Monadic-Pi1_1-theories-of-Pi_11-properties/10.1305/ndjfl/1093635080.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012980961","display_name":"Kees Doets","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kees Doets","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012980961"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4681,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.63752983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9749000072479248,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9749000072479248,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9688000082969666,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9427000284194946,"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/pi","display_name":"Pi","score":0.9141521453857422},{"id":"https://openalex.org/keywords/pi-calculus","display_name":"Pi calculus","score":0.47315654158592224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38644659519195557},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.3336906433105469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29502081871032715},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1416463851928711},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05000236630439758}],"concepts":[{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.9141521453857422},{"id":"https://openalex.org/C2984882572","wikidata":"https://www.wikidata.org/wiki/Q602886","display_name":"Pi calculus","level":2,"score":0.47315654158592224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38644659519195557},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.3336906433105469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29502081871032715},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1416463851928711},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05000236630439758}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093635080","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635080","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Monadic-Pi1_1-theories-of-Pi_11-properties/10.1305/ndjfl/1093635080.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/1093635080","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093635080","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/1093635080","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093635080","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-30/issue-2/Monadic-Pi1_1-theories-of-Pi_11-properties/10.1305/ndjfl/1093635080.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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2074487014.pdf","grobid_xml":"https://content.openalex.org/works/W2074487014.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W612096478","https://openalex.org/W1990865424","https://openalex.org/W6648048927"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2030762054","https://openalex.org/W3157618815","https://openalex.org/W2401345448","https://openalex.org/W255820224","https://openalex.org/W2278807000","https://openalex.org/W1565055262","https://openalex.org/W3022596933","https://openalex.org/W2791312746","https://openalex.org/W2791447382"],"abstract_inverted_index":{"Axiomatizations":[0],"are":[1],"provided":[2],"for":[3],"the":[4,15,18,22,30],"monadic":[5],"universal":[6],"secondorder":[7],"theories":[8],"of:":[9],"scattered":[10],"orderings,":[11,14],"well-orderings,":[12],"complete":[13],"ordering":[16],"of":[17,21,25],"natural":[19],"numbers,":[20],"reals,":[23],"and":[24],"well-founded":[26],"trees.":[27],"Proofs":[28],"employ":[29],"Ehrenfeucht-Frasse-game.":[31]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}