{"id":"https://openalex.org/W2061477295","doi":"https://doi.org/10.1305/ndjfl/1093636101","title":"Classical logic, intuitionistic logic, and the Peirce rule.","display_name":"Classical logic, intuitionistic logic, and the Peirce rule.","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2061477295","doi":"https://doi.org/10.1305/ndjfl/1093636101","mag":"2061477295"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093636101","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636101","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Classical-logic-intuitionistic-logic-and-the-Peirce-rule/10.1305/ndjfl/1093636101.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/Classical-logic-intuitionistic-logic-and-the-Peirce-rule/10.1305/ndjfl/1093636101.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001810487","display_name":"Henry Africk","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Henry Africk","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001810487"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.15856343,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"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/T10215","display_name":"Semantic Web and Ontologies","score":0.8499000072479248,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.8499000072479248,"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":0.8432999849319458,"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/T12133","display_name":"Pragmatism in Philosophy and Education","score":0.727400004863739,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.6587297320365906},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.4803518056869507},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.4684590995311737},{"id":"https://openalex.org/keywords/paraconsistent-logic","display_name":"Paraconsistent logic","score":0.4587659239768982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3867301940917969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3758668899536133},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.34396058320999146},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32792383432388306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31835994124412537},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.3088186979293823},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.30563944578170776},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27316105365753174},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.1597718596458435},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.11793047189712524},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.10274583101272583}],"concepts":[{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.6587297320365906},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.4803518056869507},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.4684590995311737},{"id":"https://openalex.org/C16796852","wikidata":"https://www.wikidata.org/wiki/Q426592","display_name":"Paraconsistent logic","level":4,"score":0.4587659239768982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3867301940917969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3758668899536133},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.34396058320999146},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32792383432388306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31835994124412537},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.3088186979293823},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.30563944578170776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27316105365753174},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.1597718596458435},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.11793047189712524},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10274583101272583},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093636101","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636101","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Classical-logic-intuitionistic-logic-and-the-Peirce-rule/10.1305/ndjfl/1093636101.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/1093636101","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093636101","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/1093636101","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636101","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/Classical-logic-intuitionistic-logic-and-the-Peirce-rule/10.1305/ndjfl/1093636101.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/W2061477295.pdf","grobid_xml":"https://content.openalex.org/works/W2061477295.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W103310383","https://openalex.org/W1483568252","https://openalex.org/W1513458930","https://openalex.org/W4302314483"],"related_works":["https://openalex.org/W2754467536","https://openalex.org/W2057714618","https://openalex.org/W2092293513","https://openalex.org/W2055558461","https://openalex.org/W4300953187","https://openalex.org/W2590661609","https://openalex.org/W3082758730","https://openalex.org/W2075756851","https://openalex.org/W87187940","https://openalex.org/W2167626756"],"abstract_inverted_index":{"A":[0,21],"simple":[1],"method":[2],"is":[3,23,34],"provided":[4],"for":[5,29],"translating":[6],"proofs":[7,12],"in":[8,13],"Gentzen's":[9,14],"LK":[10],"into":[11],"LJ":[15,30],"with":[16],"the":[17],"Peirce":[18,32],"rule":[19],"adjoined.":[20],"consequence":[22],"a":[24],"simpler":[25],"cut":[26],"elimination":[27],"operator":[28],"+":[31],"that":[33],"primitive":[35],"recursive.":[36]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
