{"id":"https://openalex.org/W1502365360","doi":"https://doi.org/10.1023/a:1027322305654","title":"A Shortest 2-Basis for Boolean Algebra in Terms of the Sheffer Stroke","display_name":"A Shortest 2-Basis for Boolean Algebra in Terms of the Sheffer Stroke","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1502365360","doi":"https://doi.org/10.1023/a:1027322305654","mag":"1502365360"},"language":"en","primary_location":{"id":"doi:10.1023/a:1027322305654","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1027322305654","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","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/A5090320441","display_name":"Robert Veroff","orcid":"https://orcid.org/0000-0003-2421-1913"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Veroff","raw_affiliation_strings":["University of New Mexico, Albuquerque, NM, 87131, USA","#N#               #N#               University of New Mexico, Albuquerque, NM 87131, USA"],"affiliations":[{"raw_affiliation_string":"University of New Mexico, Albuquerque, NM, 87131, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"#N#               #N#               University of New Mexico, Albuquerque, NM 87131, USA","institution_ids":["https://openalex.org/I169521973"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090320441"],"corresponding_institution_ids":["https://openalex.org/I169521973"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.8306,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.90790134,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"31","issue":"1","first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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":0.9987999796867371,"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":0.9977999925613403,"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/basis","display_name":"Basis (linear algebra)","score":0.8414530754089355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49913787841796875},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4955493211746216},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.49092724919319153},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.43712201714515686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3957532048225403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3625016212463379},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35923242568969727},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3438422679901123},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14055973291397095},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06841567158699036}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.8414530754089355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49913787841796875},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4955493211746216},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.49092724919319153},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.43712201714515686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3957532048225403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3625016212463379},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35923242568969727},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3438422679901123},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14055973291397095},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06841567158699036},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":1,"locations":[{"id":"doi:10.1023/a:1027322305654","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1027322305654","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1495433690","https://openalex.org/W1510627098","https://openalex.org/W1536277859","https://openalex.org/W1589755823","https://openalex.org/W1756713414","https://openalex.org/W1967889953","https://openalex.org/W1996257298","https://openalex.org/W2024777931","https://openalex.org/W2036475963","https://openalex.org/W2044598156","https://openalex.org/W2059068800","https://openalex.org/W4243413620"],"related_works":["https://openalex.org/W2392320810","https://openalex.org/W3001284428","https://openalex.org/W2078609410","https://openalex.org/W2387724274","https://openalex.org/W2248715553","https://openalex.org/W4239643353","https://openalex.org/W1973641256","https://openalex.org/W2285136996","https://openalex.org/W2007744916","https://openalex.org/W2374886291"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}