{"id":"https://openalex.org/W2112103497","doi":"https://doi.org/10.2307/2273194","title":"Sequential method in quantum logic","display_name":"Sequential method in quantum logic","publication_year":1980,"publication_date":"1980-06-01","ids":{"openalex":"https://openalex.org/W2112103497","doi":"https://doi.org/10.2307/2273194","mag":"2112103497"},"language":"en","primary_location":{"id":"doi:10.2307/2273194","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273194","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","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/A5111845461","display_name":"Hirokazu Nishimura","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hirokazu Nishimura","raw_affiliation_strings":["Research Institute for Mathematical Sciences, Kyoto University, Kyoto T606, Japan"],"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto T606, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111845461"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":1.147,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.80717774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"45","issue":"2","first_page":"339","last_page":"352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9973000288009644,"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":0.9882000088691711,"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/quantum-logic","display_name":"Quantum logic","score":0.8182946443557739},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5936322808265686},{"id":"https://openalex.org/keywords/algebraic-semantics","display_name":"Algebraic semantics","score":0.5877903699874878},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5203534960746765},{"id":"https://openalex.org/keywords/categorical-quantum-mechanics","display_name":"Categorical quantum mechanics","score":0.5143686532974243},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.48739463090896606},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.455799400806427},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44599205255508423},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4409685432910919},{"id":"https://openalex.org/keywords/algebraic-logic","display_name":"Algebraic logic","score":0.43850621581077576},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.4264970123767853},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3781491219997406},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.36396318674087524},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36386430263519287},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.34780359268188477},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30212199687957764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28741419315338135},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.229020893573761},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1890837848186493},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.18282225728034973},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.1365644335746765},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11261552572250366},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09363660216331482}],"concepts":[{"id":"https://openalex.org/C169460222","wikidata":"https://www.wikidata.org/wiki/Q1206311","display_name":"Quantum logic","level":4,"score":0.8182946443557739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5936322808265686},{"id":"https://openalex.org/C2779729104","wikidata":"https://www.wikidata.org/wiki/Q4724013","display_name":"Algebraic semantics","level":3,"score":0.5877903699874878},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5203534960746765},{"id":"https://openalex.org/C105295557","wikidata":"https://www.wikidata.org/wiki/Q5051814","display_name":"Categorical quantum mechanics","level":5,"score":0.5143686532974243},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.48739463090896606},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.455799400806427},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44599205255508423},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4409685432910919},{"id":"https://openalex.org/C86523455","wikidata":"https://www.wikidata.org/wiki/Q1005222","display_name":"Algebraic logic","level":3,"score":0.43850621581077576},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.4264970123767853},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3781491219997406},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.36396318674087524},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36386430263519287},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.34780359268188477},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30212199687957764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28741419315338135},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.229020893573761},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1890837848186493},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.18282225728034973},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.1365644335746765},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11261552572250366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09363660216331482},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":2,"locations":[{"id":"doi:10.2307/2273194","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273194","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183740565","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183740565","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W94488084","https://openalex.org/W1507992226","https://openalex.org/W1982490705","https://openalex.org/W1989314289","https://openalex.org/W1996686235","https://openalex.org/W2034576617","https://openalex.org/W2039977878","https://openalex.org/W2073354989","https://openalex.org/W2101091330","https://openalex.org/W2118196574","https://openalex.org/W2133848095","https://openalex.org/W2168503086","https://openalex.org/W2315697974","https://openalex.org/W3126996113","https://openalex.org/W4210668185","https://openalex.org/W4212958059","https://openalex.org/W4229979503","https://openalex.org/W4238292764","https://openalex.org/W4238939535"],"related_works":["https://openalex.org/W4230722377","https://openalex.org/W2795701193","https://openalex.org/W2021508240","https://openalex.org/W1811985367","https://openalex.org/W134625661","https://openalex.org/W2235503145","https://openalex.org/W4205826349","https://openalex.org/W3170974132","https://openalex.org/W3103561058","https://openalex.org/W2112103497"],"abstract_inverted_index":{"Since":[0],"Birkhoff":[1],"and":[2,102,128,212],"von":[3],"Neumann":[4],"[2]":[5],"a":[6,41,189,196],"new":[7],"area":[8],"of":[9,18,40,57,80,111,123,148,195,206,229],"logical":[10,103],"investigation":[11],"has":[12,202],"grown":[13],"up":[14],"under":[15,77],"the":[16,78,97,158],"name":[17,79],"quantum":[19,58,81,106,124,149,207],"logic.":[20,59],"However":[21],"it":[22,92],"seems":[23],"to":[24,32,95,115,138,175],"me":[25],"that":[26,145],"many":[27,74],"authors":[28,155],"have":[29,156],"been":[30],"inclined":[31],"discuss":[33],"algebraic":[34,84,101],"semantics":[35],"as":[36,126,129,131,216],"such":[37],"(mainly":[38],"lattices":[39,238],"certain":[42],"kind)":[43],"almost":[44],"directly":[45],"without":[46],"presenting":[47,120],"any":[48,54,193],"axiomatic":[49],"system,":[50],"far":[51],"from":[52],"developing":[53],"proof":[55],"theory":[56],"See,":[60,178],"e.g.,":[61,179],"Gunson":[62],"[9],":[63],"Jauch":[64],"[10],":[65],"Varadarajan":[66],"[15],":[67],"Zeirler":[68],"[16],":[69],"etc.":[70,184],"In":[71,219],"this":[72,112,117,220,226,231],"sense":[73],"works":[75],"presented":[76,203],"logic":[82,125,150,197,208],"are":[83,151,239],"in":[85,192,198],"essence":[86],"rather":[87],"than":[88],"genuinely":[89],"logical,":[90],"though":[91],"is":[93,114,137,143,233],"absurd":[94],"doubt":[96],"close":[98],"relationship":[99],"between":[100],"study":[104,136],"on":[105],"mechanics.":[107],"The":[108],"main":[109],"purpose":[110],"paper":[113,221],"alter":[116],"situation":[118],"by":[119],"an":[121,204],"axiomatization":[122,194,205],"natural":[127],"elegant":[130],"possible,":[132],"which":[133],"further":[134],"proof-theoretical":[135],"be":[139],"based":[140],"on.":[141],"It":[142],"true":[144],"several":[146],"axiomatizations":[147],"present":[152],"now.":[153],"Several":[154],"investigated":[157],"so-called":[159],"material":[160,186,213],"implication":[161,187,214],"\u03b1":[162],"\u2192":[163,215],"\u03b2":[164],"(":[165],"=":[166],"\u00ac\u03b1\u2228(\u03b1":[167],"\u2227":[168],"\u03b2))":[169],"very":[170],"closely":[171],"with":[172,209],"due":[173],"regard":[174],"its":[176],"importance.":[177],"Finch":[180],"[5],":[181],"Piziak":[182],"[11],":[183],"Indeed":[185],"plays":[188],"predominant":[190],"role":[191],"Hilbert-style.":[199],"Clark":[200],"[4]":[201],"negation":[210],"\u00ac":[211],"primitive":[217],"connectives.":[218],"we":[222],"do":[223],"not":[224],"follow":[225],"approach.":[227],"First":[228],"all,":[230],"approach":[232],"greatly":[234],"complicated":[235],"because":[236],"orthomodular":[237],"only":[240],"locally":[241],"distributive.":[242]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}