{"id":"https://openalex.org/W2804526235","doi":"https://doi.org/10.1007/978-3-319-91376-6_50","title":"A Weakening of Alpha Graphs: Quasi-Boolean Algebras","display_name":"A Weakening of Alpha Graphs: Quasi-Boolean Algebras","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2804526235","doi":"https://doi.org/10.1007/978-3-319-91376-6_50","mag":"2804526235"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-91376-6_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-91376-6_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/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":false,"raw_author_name":"Minghui Ma","raw_affiliation_strings":["Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047703783","display_name":"Ahti\u2010Veikko Pietarinen","orcid":"https://orcid.org/0000-0003-4855-8110"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]},{"id":"https://openalex.org/I60559429","display_name":"Nazarbayev University","ror":"https://ror.org/052bx8q98","country_code":"KZ","type":"education","lineage":["https://openalex.org/I60559429"]}],"countries":["EE","KZ"],"is_corresponding":true,"raw_author_name":"Ahti-Veikko Pietarinen","raw_affiliation_strings":["Nazarbayev University, Astana, Kazakhstan","Tallinn University of Technology, Tallinn, Estonia"],"affiliations":[{"raw_affiliation_string":"Nazarbayev University, Astana, Kazakhstan","institution_ids":["https://openalex.org/I60559429"]},{"raw_affiliation_string":"Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047703783"],"corresponding_institution_ids":["https://openalex.org/I111112146","https://openalex.org/I60559429"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":14.7528,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98786615,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"549","last_page":"564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12133","display_name":"Pragmatism in Philosophy and Education","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12133","display_name":"Pragmatism in Philosophy and Education","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12558","display_name":"Wittgensteinian philosophy and applications","score":0.942799985408783,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diagrammatic-reasoning","display_name":"Diagrammatic reasoning","score":0.7152748107910156},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.6658140420913696},{"id":"https://openalex.org/keywords/assertion","display_name":"Assertion","score":0.580411970615387},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.5482105612754822},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5366038680076599},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.5172179937362671},{"id":"https://openalex.org/keywords/stones-representation-theorem-for-boolean-algebras","display_name":"Stone's representation theorem for Boolean algebras","score":0.5021064281463623},{"id":"https://openalex.org/keywords/complete-boolean-algebra","display_name":"Complete Boolean algebra","score":0.49060121178627014},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.47291597723960876},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.46831995248794556},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.4650149941444397},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.44123023748397827},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.4390900433063507},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42148393392562866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40833115577697754},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4007624387741089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3968527019023895},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29011887311935425},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2162446677684784},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19750913977622986},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.16122594475746155},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.12107935547828674},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.09618911147117615}],"concepts":[{"id":"https://openalex.org/C106624574","wikidata":"https://www.wikidata.org/wiki/Q5270387","display_name":"Diagrammatic reasoning","level":2,"score":0.7152748107910156},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.6658140420913696},{"id":"https://openalex.org/C40422974","wikidata":"https://www.wikidata.org/wiki/Q741248","display_name":"Assertion","level":2,"score":0.580411970615387},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.5482105612754822},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5366038680076599},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.5172179937362671},{"id":"https://openalex.org/C10021369","wikidata":"https://www.wikidata.org/wiki/Q1166774","display_name":"Stone's representation theorem for Boolean algebras","level":5,"score":0.5021064281463623},{"id":"https://openalex.org/C81518389","wikidata":"https://www.wikidata.org/wiki/Q5156447","display_name":"Complete Boolean algebra","level":5,"score":0.49060121178627014},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.47291597723960876},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.46831995248794556},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.4650149941444397},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.44123023748397827},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.4390900433063507},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42148393392562866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40833115577697754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4007624387741089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3968527019023895},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29011887311935425},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2162446677684784},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19750913977622986},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.16122594475746155},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.12107935547828674},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.09618911147117615}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-91376-6_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-91376-6_50","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W593705620","https://openalex.org/W1487409515","https://openalex.org/W1530810966","https://openalex.org/W1598504429","https://openalex.org/W1970199721","https://openalex.org/W1997380601","https://openalex.org/W2025662156","https://openalex.org/W2168747849","https://openalex.org/W2320479210","https://openalex.org/W2325835442","https://openalex.org/W2556487522","https://openalex.org/W2557358770","https://openalex.org/W2562279582","https://openalex.org/W2578862309","https://openalex.org/W2600037530","https://openalex.org/W2604487941","https://openalex.org/W2769065214","https://openalex.org/W3202619697","https://openalex.org/W4238719637","https://openalex.org/W4240815544","https://openalex.org/W4241903063","https://openalex.org/W4251378251"],"related_works":["https://openalex.org/W4256012180","https://openalex.org/W2940617399","https://openalex.org/W1496446432","https://openalex.org/W2064028328","https://openalex.org/W2037090414","https://openalex.org/W2369221237","https://openalex.org/W4308506997","https://openalex.org/W2377302330","https://openalex.org/W4243109641","https://openalex.org/W2951697398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
