{"id":"https://openalex.org/W2076906261","doi":"https://doi.org/10.1305/ndjfl/1193667706","title":"An Algebraic Approach to the Disjunction Property of Substructural Logics","display_name":"An Algebraic Approach to the Disjunction Property of Substructural Logics","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2076906261","doi":"https://doi.org/10.1305/ndjfl/1193667706","mag":"2076906261"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1193667706","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-48/issue-4/An-Algebraic-Approach-to-the-Disjunction-Property-of-Substructural-Logics/10.1305/ndjfl/1193667706.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/P4310315572","https://openalex.org/P4310315698"],"host_organization_lineage_names":["Duke University","Duke University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-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-48/issue-4/An-Algebraic-Approach-to-the-Disjunction-Property-of-Substructural-Logics/10.1305/ndjfl/1193667706.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079674271","display_name":"Daisuke Souma","orcid":"https://orcid.org/0000-0003-4022-0975"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]},{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP","US"],"is_corresponding":true,"raw_author_name":"Daisuke Souma","raw_affiliation_strings":["JAIST Nomi, Ishikawa 923-1292 JAPAN","University of Notre Dame School of Information Science"],"affiliations":[{"raw_affiliation_string":"University of Notre Dame School of Information Science","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"JAIST Nomi, Ishikawa 923-1292 JAPAN","institution_ids":["https://openalex.org/I177738480"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079674271"],"corresponding_institution_ids":["https://openalex.org/I107639228","https://openalex.org/I177738480"],"apc_list":null,"apc_paid":null,"fwci":1.51,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":12,"citation_normalized_percentile":{"value":0.816971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"48","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998,"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":0.9998,"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":0.9991,"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":0.9981,"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/sequent","display_name":"Sequent","score":0.8042755},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.72066975},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.60446393}],"concepts":[{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.8042755},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.72066975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.686098},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6358573},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.60446393},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.5844692},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46328536},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.45824596},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42190742},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36690006},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33844602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26110733},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15135458},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.11610782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.071482},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.058369994},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.049768627},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.049098462},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.0},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1193667706","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-48/issue-4/An-Algebraic-Approach-to-the-Disjunction-Property-of-Substructural-Logics/10.1305/ndjfl/1193667706.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/P4310315572","https://openalex.org/P4310315698"],"host_organization_lineage_names":["Duke University","Duke University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1193667706","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-48/issue-4/An-Algebraic-Approach-to-the-Disjunction-Property-of-Substructural-Logics/10.1305/ndjfl/1193667706.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/P4310315572","https://openalex.org/P4310315698"],"host_organization_lineage_names":["Duke University","Duke University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":8,"referenced_works":["https://openalex.org/W1487361824","https://openalex.org/W1602191112","https://openalex.org/W1932254758","https://openalex.org/W1984344621","https://openalex.org/W2056475779","https://openalex.org/W2062581225","https://openalex.org/W2077586596","https://openalex.org/W4240400578"],"related_works":["https://openalex.org/W2529234164","https://openalex.org/W2461988121","https://openalex.org/W2460410171","https://openalex.org/W2341378906","https://openalex.org/W2078306994","https://openalex.org/W2076906261","https://openalex.org/W193449051","https://openalex.org/W1588682476","https://openalex.org/W1576841988","https://openalex.org/W1487361824"],"abstract_inverted_index":{"Some":[0],"of":[1,20,39,51,63,77],"the":[2,12,27,49,61,73,78],"basic":[3],"substructural":[4,40,64,79],"logics":[5,53,65,80],"are":[6],"shown":[7],"by":[8,16],"Ono":[9],"to":[10,58],"have":[11],"disjunction":[13],"property":[14],"(DP)":[15],"using":[17,69],"cut":[18],"elimination":[19],"sequent":[21],"calculi":[22],"for":[23,35,75,81],"these":[24],"logics.":[25,41],"On":[26],"other":[28],"hand,":[29],"this":[30],"syntactic":[31,83],"method":[32],"works":[33],"only":[34],"a":[36],"limited":[37],"number":[38],"Here":[42],"we":[43,71],"show":[44,72],"that":[45],"Maksimova's":[46],"criterion":[47],"on":[48,60],"DP":[50,62,74],"superintuitionistic":[52],"can":[54],"be":[55],"naturally":[56],"extended":[57],"one":[59],"over":[66],"FL.":[67],"By":[68],"this,":[70],"some":[76],"which":[82],"methods":[84],"don't":[85],"work":[86],"well.":[87]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2076906261","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-01-04T16:00:35.860131","created_date":"2016-06-24"}