{"id":"https://openalex.org/W4393410136","doi":"https://doi.org/10.1080/11663081.2024.2336373","title":"Decidability of topological quasi-Boolean algebras","display_name":"Decidability of topological quasi-Boolean algebras","publication_year":2024,"publication_date":"2024-04-02","ids":{"openalex":"https://openalex.org/W4393410136","doi":"https://doi.org/10.1080/11663081.2024.2336373"},"language":"en","primary_location":{"id":"doi:10.1080/11663081.2024.2336373","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.2024.2336373","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","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/A5100659815","display_name":"Yiheng Wang","orcid":"https://orcid.org/0000-0002-5975-2333"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiheng Wang","raw_affiliation_strings":["Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100600819","display_name":"Zhe Lin","orcid":"https://orcid.org/0009-0000-0575-4942"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Lin","raw_affiliation_strings":["Department of Philosophy, Xiamen University, Xiamen, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Xiamen University, Xiamen, People's Republic of China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001729272","display_name":"Minghui Ma","orcid":"https://orcid.org/0000-0003-3733-7291"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minghui Ma","raw_affiliation_strings":["Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001729272"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":0.759,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71177107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"34","issue":"2-3","first_page":"269","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.711599588394165},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7017288208007812},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6861916184425354},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5438050627708435},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.5077953934669495},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.4926784634590149},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.4641282558441162},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.4325326681137085},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41103309392929077},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3667392432689667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36465781927108765},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3525158166885376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17977750301361084},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.16843533515930176},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.15762704610824585},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.12385126948356628}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.711599588394165},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7017288208007812},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6861916184425354},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5438050627708435},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.5077953934669495},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.4926784634590149},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.4641282558441162},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.4325326681137085},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41103309392929077},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3667392432689667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36465781927108765},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3525158166885376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17977750301361084},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.16843533515930176},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.15762704610824585},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.12385126948356628},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/11663081.2024.2336373","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.2024.2336373","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3238833958","display_name":null,"funder_award_id":"grant number 2072021107","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G702506974","display_name":null,"funder_award_id":"grant number 18ZDA033","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1519478560","https://openalex.org/W1530375570","https://openalex.org/W1568029361","https://openalex.org/W1574172746","https://openalex.org/W1581532077","https://openalex.org/W2050527500","https://openalex.org/W2050672964","https://openalex.org/W2229542852","https://openalex.org/W2886133605","https://openalex.org/W2969583319","https://openalex.org/W3153583557","https://openalex.org/W4255833381","https://openalex.org/W4405645178","https://openalex.org/W6631133014"],"related_works":["https://openalex.org/W4253113110","https://openalex.org/W2096191306","https://openalex.org/W2280276996","https://openalex.org/W182117412","https://openalex.org/W1488351281","https://openalex.org/W2138973931","https://openalex.org/W4210342219","https://openalex.org/W93561518","https://openalex.org/W3090765541","https://openalex.org/W2584381231"],"abstract_inverted_index":{"A":[0],"sequent":[1,66],"calculus":[2,67],"S":[3,28,36],"for":[4,76],"the":[5,23,33,50,60,72,79],"variety":[6,51],"tqBa":[7],"of":[8,18,27,35,45,53,81,94],"all":[9,54],"topological":[10,46,55],"quasi-Boolean":[11,47],"algebras":[12],"is":[13,29,37,83,89],"established.":[14,84],"Using":[15],"a":[16,65],"construction":[17],"syntactic":[19],"finite":[20,24],"algebraic":[21],"model,":[22],"model":[25],"property":[26],"shown,":[30],"and":[31,69],"thus":[32],"decidability":[34,80],"obtained.":[38],"We":[39],"also":[40],"introduce":[41],"two":[42],"non-distributive":[43],"variants":[44],"algebras.":[48],"For":[49],"TDM5":[52],"De":[56],"Morgan":[57],"lattices":[58],"with":[59],"axiom":[61],"5,":[62],"we":[63],"establish":[64],"S5":[68,82],"prove":[70],"that":[71],"cut":[73],"elimination":[74],"holds":[75],"it.":[77],"Consequently":[78],"Furthermore,":[85],"this":[86],"proof-theoretic":[87],"method":[88],"applied":[90],"to":[91],"some":[92],"subvarieties":[93],"TDM5.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}