{"id":"https://openalex.org/W3033952396","doi":"https://doi.org/10.1093/logcom/exaa030","title":"Sette\u2019s calculus P1 and some hierarchies of paraconsistent systems","display_name":"Sette\u2019s calculus P1 and some hierarchies of paraconsistent systems","publication_year":2020,"publication_date":"2020-04-23","ids":{"openalex":"https://openalex.org/W3033952396","doi":"https://doi.org/10.1093/logcom/exaa030","mag":"3033952396"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exaa030","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa030","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007934207","display_name":"Janusz Ciuciura","orcid":"https://orcid.org/0000-0001-9965-9822"},"institutions":[{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Janusz Ciuciura","raw_affiliation_strings":["Faculty of Philosophy and History, Institute of Philosophy, University of \u0141\u00f3d\u017a, Lindleya 3/5, 90-131 \u0141\u00f3d\u017a, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Philosophy and History, Institute of Philosophy, University of \u0141\u00f3d\u017a, Lindleya 3/5, 90-131 \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007934207"],"corresponding_institution_ids":["https://openalex.org/I34250744"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.2814,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.60917999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"5","first_page":"1109","last_page":"1124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980999827384949,"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":0.9927999973297119,"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/paraconsistent-logic","display_name":"Paraconsistent logic","score":0.7882027626037598},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6335734128952026},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5854361057281494},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4998600482940674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4812335968017578},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.4177098274230957},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3644130229949951},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34239524602890015},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2898135781288147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24218761920928955},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0987173318862915},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07572418451309204},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.06054919958114624},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.053749144077301025}],"concepts":[{"id":"https://openalex.org/C16796852","wikidata":"https://www.wikidata.org/wiki/Q426592","display_name":"Paraconsistent logic","level":4,"score":0.7882027626037598},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6335734128952026},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5854361057281494},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4998600482940674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4812335968017578},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.4177098274230957},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3644130229949951},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34239524602890015},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2898135781288147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24218761920928955},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0987173318862915},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07572418451309204},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.06054919958114624},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.053749144077301025},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exaa030","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa030","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W15205973","https://openalex.org/W563823708","https://openalex.org/W1481398220","https://openalex.org/W1490829364","https://openalex.org/W1998548029","https://openalex.org/W2010376212","https://openalex.org/W2054814753","https://openalex.org/W2059894421","https://openalex.org/W2080372261","https://openalex.org/W2086832424","https://openalex.org/W2095704391","https://openalex.org/W2142616542","https://openalex.org/W2493240959","https://openalex.org/W2989168249","https://openalex.org/W3013448633","https://openalex.org/W3109205082","https://openalex.org/W3150190616","https://openalex.org/W4214594007","https://openalex.org/W6600616170","https://openalex.org/W6634970915","https://openalex.org/W6665180569","https://openalex.org/W6743493108"],"related_works":["https://openalex.org/W1995761317","https://openalex.org/W4210846614","https://openalex.org/W1535709177","https://openalex.org/W2830670145","https://openalex.org/W4210459994","https://openalex.org/W1784292258","https://openalex.org/W2073983920","https://openalex.org/W2485140362","https://openalex.org/W2290370543","https://openalex.org/W2460545934"],"abstract_inverted_index":{"Abstract":[0],"The":[1,71,85],"necessary":[2],"condition":[3],"for":[4,96],"a":[5,34,68,93],"calculus":[6,72,98],"to":[7,91,122],"be":[8],"paraconsistent":[9,41,81,105],"is":[10,15,40,66,90,116],"that":[11,114],"its":[12],"consequence":[13],"relation":[14],"not":[16,67],"explosive.":[17],"This":[18],"results":[19],"in":[20],"rejection":[21],"of":[22,25,78,87,103],"the":[23,44,62,79,104,123,129],"principle":[24],"ex":[26],"contradictione":[27],"sequitur":[28],"quodlibet.":[29],"In":[30],"1973,":[31],"Sette":[32],"presented":[33],"calculus,":[35],"denoted":[36],"as":[37,76],"$P^1$,":[38],"which":[39,107],"only":[42,60],"at":[43],"atomic":[45],"level,":[46],"i.e.":[47],"$\\alpha":[48,64],"$":[49,53,57,65],"and":[50,59,99,118,125],"${\\sim":[51],"}\\alpha":[52],"yield":[54],"any":[55],"$\\beta":[56],"if,":[58],"if":[61],"formula":[63],"propositional":[69],"variable.":[70],"has":[73],"been":[74],"viewed":[75],"one":[77],"noteworthy":[80],"calculi":[82,130],"since":[83],"then.":[84],"objective":[86],"this":[88],"paper":[89],"propose":[92],"new":[94],"semantics":[95,124],"Sette\u2019s":[97],"present":[100],"some":[101],"hierarchies":[102],"calculi,":[106],"are":[108,127],"based":[109],"on":[110],"$P^1$.":[111],"We":[112],"demonstrate":[113],"$P^1$":[115],"sound":[117],"complete":[119],"with":[120],"respect":[121],"so":[126],"all":[128],"under":[131],"consideration.":[132]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}