{"id":"https://openalex.org/W2085057391","doi":"https://doi.org/10.1305/ndjfl/1093888021","title":"A remark on Gentzen's calculus of sequents.","display_name":"A remark on Gentzen's calculus of sequents.","publication_year":1977,"publication_date":"1977-07-01","ids":{"openalex":"https://openalex.org/W2085057391","doi":"https://doi.org/10.1305/ndjfl/1093888021","mag":"2085057391"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093888021","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093888021","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-18/issue-3/A-remark-on-Gentzens-calculus-of-sequents/10.1305/ndjfl/1093888021.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-18/issue-3/A-remark-on-Gentzens-calculus-of-sequents/10.1305/ndjfl/1093888021.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018286531","display_name":"Johannes Czermak","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Johannes Czermak","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018286531"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.25408214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"3","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":0.9805999994277954,"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":0.9805999994277954,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9595999717712402,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9498999714851379,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6895534992218018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.637365460395813},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.43528300523757935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26954394578933716},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.04384520649909973}],"concepts":[{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6895534992218018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.637365460395813},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.43528300523757935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26954394578933716},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.04384520649909973},{"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/1093888021","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093888021","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-18/issue-3/A-remark-on-Gentzens-calculus-of-sequents/10.1305/ndjfl/1093888021.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/1093888021","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093888021","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/1093888021","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093888021","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-18/issue-3/A-remark-on-Gentzens-calculus-of-sequents/10.1305/ndjfl/1093888021.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":[{"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2085057391.pdf","grobid_xml":"https://content.openalex.org/works/W2085057391.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W1603543958","https://openalex.org/W1574493518","https://openalex.org/W2950279424","https://openalex.org/W3194539205","https://openalex.org/W2469137997"],"abstract_inverted_index":{"In":[0,87],"this":[1,60,81,95],"short":[2],"note":[3],"we":[4,62,89],"call":[5,73],"attention":[6],"to":[7,23,49,99],"a":[8,91,116],"simple":[9],"but":[10],"perhaps":[11],"interesting":[12],"property":[13],"of":[14,17,37,94,107,113,121],"Gentzen's":[15,78],"calculus":[16,79,85],"sequents":[18,24,112],"(c/.":[19],"[1]):":[20],"the":[21,35,50,54,64,74,83,102,111,114],"restriction":[22,52,82],"whose":[25],"antecedent":[26],"contains":[27],"at":[28],"most":[29],"one":[30],"formula":[31],"does":[32],"not":[33],"affect":[34],"derivability":[36],"classically":[38],"valid":[39],"formulas":[40,100],"without":[41],"existential":[42],"quantifier":[43],"and":[44],"implication":[45],"sign":[46],"(in":[47],"contrast":[48],"corresponding":[51],"concerning":[53],"succedent;":[55],"as":[56],"is":[57],"well-known,":[58],"in":[59],"case":[61],"get":[63],"intuitionistic":[65],"calculus;":[66],"see":[67],"[1],":[68],"p.":[69],"192).":[70],"Let":[71],"us":[72],"system":[75],"obtained":[76],"from":[77],"by":[80],"\"dual-intuitionistic":[84],"DJ'\\":[86],"Now":[88],"give":[90],"direct":[92],"proof":[93],"theorem,":[96],"extending":[97],"it":[98],"containing":[101],"universal":[103],"quantifier.":[104],"The":[105,119],"axioms":[106],"DJ":[108],"are":[109],"all":[110],"form":[115],"->":[117],"a.":[118],"rules":[120],"inference":[122],"are:":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}