{"id":"https://openalex.org/W1986551282","doi":"https://doi.org/10.1305/ndjfl/1093883052","title":"A natural deduction system of indexical logic.","display_name":"A natural deduction system of indexical logic.","publication_year":1980,"publication_date":"1980-04-01","ids":{"openalex":"https://openalex.org/W1986551282","doi":"https://doi.org/10.1305/ndjfl/1093883052","mag":"1986551282"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093883052","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093883052","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-21/issue-2/A-natural-deduction-system-of-indexical-logic/10.1305/ndjfl/1093883052.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-21/issue-2/A-natural-deduction-system-of-indexical-logic/10.1305/ndjfl/1093883052.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082067000","display_name":"Rolf Schock","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rolf Schock","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082067000"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07013225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","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":0.9811999797821045,"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":0.9811999797821045,"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":0.9650999903678894,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.954800009727478,"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/indexicality","display_name":"Indexicality","score":0.845237135887146},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.5915344953536987},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.45950955152511597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3976302444934845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3841801881790161},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.3769819140434265},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32047832012176514},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.30867356061935425},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2619975209236145},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.10416173934936523},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07565689086914062}],"concepts":[{"id":"https://openalex.org/C99377836","wikidata":"https://www.wikidata.org/wiki/Q1661162","display_name":"Indexicality","level":2,"score":0.845237135887146},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.5915344953536987},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.45950955152511597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3976302444934845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3841801881790161},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.3769819140434265},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32047832012176514},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.30867356061935425},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2619975209236145},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.10416173934936523},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07565689086914062},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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":2,"locations":[{"id":"doi:10.1305/ndjfl/1093883052","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093883052","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-21/issue-2/A-natural-deduction-system-of-indexical-logic/10.1305/ndjfl/1093883052.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/1093883052","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093883052","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/1093883052","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093883052","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-21/issue-2/A-natural-deduction-system-of-indexical-logic/10.1305/ndjfl/1093883052.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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1986551282.pdf","grobid_xml":"https://content.openalex.org/works/W1986551282.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1966270403","https://openalex.org/W6641888989"],"related_works":["https://openalex.org/W85646362","https://openalex.org/W1983624561","https://openalex.org/W2320418740","https://openalex.org/W2990731340","https://openalex.org/W1601100529","https://openalex.org/W1603543958","https://openalex.org/W1574493518","https://openalex.org/W2950279424","https://openalex.org/W4298683332","https://openalex.org/W3194539205"],"abstract_inverted_index":{"In":[0],"a":[1,5,17,67,93,99,109],"previous":[2],"study,":[3],"1":[4],"system":[6,70,81,102],"L":[7,24,114],"of":[8,38,41,52,60,71,92,95,98,104,108],"indexical":[9,42,72,105],"logic":[10,45,73,106],"sound":[11],"and":[12,107,113],"complete":[13],"with":[14,58],"respect":[15],"to":[16,83],"certain":[18],"semantic":[19],"theory":[20],"was":[21],"developed.":[22],"However,":[23],"is":[25,46,51,74],"an":[26,64],"axiomatic":[27,54],"logic.":[28],"As":[29],"usual,":[30],"or":[31],"perhaps":[32],"even":[33],"more":[34],"than":[35],"usual":[36],"because":[37],"the":[39,44,53,86,96],"complexity":[40],"reasoning,":[43],"unintuitively":[47],"cumbersome":[48],"since":[49],"it":[50],"type.":[55],"For":[56],"wrestling":[57],"problems":[59],"situational":[61],"dependence":[62],"in":[63,85],"adequate":[65],"way,":[66],"natural":[68,100],"deduction":[69,101],"therefore":[75],"needed.":[76],"So":[77],"far,":[78],"no":[79],"such":[80],"seems":[82],"exist":[84],"literature.":[87],"The":[88],"present":[89],"study":[90],"consists":[91],"formulation":[94],"rules":[97],"N":[103,112],"proof":[110],"that":[111],"are":[115],"equivalent.":[116]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}