{"id":"https://openalex.org/W2797588120","doi":"https://doi.org/10.1137/16m1056389","title":"Computing $k$-Atomicity in Polynomial Time","display_name":"Computing $k$-Atomicity in Polynomial Time","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2797588120","doi":"https://doi.org/10.1137/16m1056389","mag":"2797588120"},"language":"en","primary_location":{"id":"doi:10.1137/16m1056389","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056389","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5075472271","display_name":"Wojciech Golab","orcid":"https://orcid.org/0000-0002-8891-256X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wojciech Golab","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5096876346","display_name":"Xiaozhou Steve","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaozhou Steve","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089947217","display_name":"Alejandro L\u00f3pez-Ort\u00edz","orcid":"https://orcid.org/0000-0003-2671-6173"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alejandro L\u00f3pez-Ortiz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112513881","display_name":"Naomi Nishimura","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Naomi Nishimura","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3953,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64664917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":"2","first_page":"420","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/atomicity","display_name":"Atomicity","score":0.9704221487045288},{"id":"https://openalex.org/keywords/linearizability","display_name":"Linearizability","score":0.7569570541381836},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5897546410560608},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5870974659919739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5656511783599854},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5280460119247437},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5189787745475769},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4874260723590851},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45456933975219727},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4427732229232788},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4413061738014221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42243343591690063},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3771001696586609},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36209046840667725},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12916827201843262},{"id":"https://openalex.org/keywords/database-transaction","display_name":"Database transaction","score":0.06954681873321533}],"concepts":[{"id":"https://openalex.org/C188045909","wikidata":"https://www.wikidata.org/wiki/Q3306359","display_name":"Atomicity","level":3,"score":0.9704221487045288},{"id":"https://openalex.org/C20528329","wikidata":"https://www.wikidata.org/wiki/Q513932","display_name":"Linearizability","level":3,"score":0.7569570541381836},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5897546410560608},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5870974659919739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5656511783599854},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5280460119247437},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5189787745475769},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4874260723590851},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45456933975219727},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4427732229232788},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4413061738014221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42243343591690063},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3771001696586609},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36209046840667725},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12916827201843262},{"id":"https://openalex.org/C75949130","wikidata":"https://www.wikidata.org/wiki/Q848010","display_name":"Database transaction","level":2,"score":0.06954681873321533},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1056389","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1056389","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308943","display_name":"Microsoft Research","ror":"https://ror.org/00d0nc645"},{"id":"https://openalex.org/F4320309327","display_name":"Google","ror":"https://ror.org/00njsd438"},{"id":"https://openalex.org/F4320310598","display_name":"Amazon Web Services","ror":"https://ror.org/04mv4n011"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W85690038","https://openalex.org/W1986463648","https://openalex.org/W2003160050","https://openalex.org/W2039451540","https://openalex.org/W2040267948","https://openalex.org/W2043801088","https://openalex.org/W2054584570","https://openalex.org/W2070356883","https://openalex.org/W2076445104","https://openalex.org/W2087946700","https://openalex.org/W2101939036","https://openalex.org/W2115806861","https://openalex.org/W2162371997","https://openalex.org/W2337480916","https://openalex.org/W3083050090"],"related_works":["https://openalex.org/W2059519811","https://openalex.org/W2115031960","https://openalex.org/W2890803313","https://openalex.org/W2912336518","https://openalex.org/W2797588120","https://openalex.org/W4225157728","https://openalex.org/W2899230041","https://openalex.org/W4377371889","https://openalex.org/W2937362621","https://openalex.org/W4389362338"],"abstract_inverted_index":{"The":[0,18,38,203,239],"$k$-atomicity":[1,39,112],"property":[2,40,97],"can":[3,74],"be":[4,75],"used":[5],"to":[6,62,178,197],"describe":[7],"the":[8,83,90,94,103,111,129,166,194,211,214,232,237,249],"consistency":[9,20,65],"of":[10,34,80,85,105,119,213,234,279],"data":[11],"operations":[12,121,235,264],"in":[13,32,138,150,174,220,236],"large":[14],"distributed":[15],"storage":[16],"systems.":[17],"weak":[19,64],"guarantees":[21],"offered":[22],"by":[23,109,284],"such":[24],"systems":[25],"are":[26,201,282],"seen":[27],"as":[28,70],"a":[29,47,59,71,78,117,123,198],"necessary":[30],"compromise":[31],"view":[33],"Brewer's":[35],"CAP":[36],"principle.":[37],"requires":[41],"that":[42,49,73,137,164,192],"every":[43],"read":[44],"operation":[45],"obtains":[46],"value":[48,84],"is":[50,68,131,142,231,252,257,265,270],"at":[51],"most":[52],"$k$":[53,67,86,107,256,274],"updates":[54],"(writes)":[55],"old":[56],"and":[57,122,134,146,185,217,259,275],"becomes":[58],"useful":[60],"way":[61],"quantify":[63],"if":[66,272],"treated":[69],"variable":[72],"computed":[76],"from":[77,93],"history":[79,91,118,130,216],"operations.":[81],"Specifically,":[82],"quantifies":[87],"how":[88],"far":[89],"deviates":[92],"atomicity":[95],"(linearizability)":[96],"for":[98,169,181],"read/write":[99,120],"registers.":[100],"We":[101],"address":[102],"problem":[104,114,141,168],"computing":[106],"indirectly":[108],"solving":[110],"verification":[113],"($k$-AV):":[115],"given":[116,199],"positive":[124],"integer":[125],"$k$,":[126],"decide":[127],"whether":[128],"$k$-atomic.":[132],"Gibbons":[133],"Korach":[135],"showed":[136],"general":[139],"this":[140,158],"NP-complete":[143],"when":[144,255,260],"$k=1$":[145],"hence":[147],"not":[148,243],"solvable":[149],"polynomial":[151],"time":[152,268],"unless":[153],"$P":[154],"=":[155,183,187],"NP$.":[156],"In":[157],"paper":[159],"we":[160],"present":[161],"two":[162],"algorithms":[163,190],"solve":[165],"$k$-AV":[167,219],"any":[170,245],"$k":[171,182,186],"\\geq":[172],"3$":[173],"special":[175],"cases.":[176],"Similarly":[177],"known":[179],"solutions":[180],"1$":[184],"2$,":[188],"both":[189,273],"assume":[191],"all":[193],"values":[195],"written":[196],"object":[200],"distinct.":[202],"first":[204],"algorithm":[205,241],"places":[206],"an":[207],"additional":[208,246],"restriction":[209],"on":[210,248],"structure":[212],"input":[215,250],"solves":[218],"$O(n^2":[221],"+":[222],"n":[223],"\\cdot":[224],"k":[225],"\\log":[226],"k)$":[227],"time,":[228],"where":[229],"$n$":[230],"number":[233],"history.":[238],"second":[240],"does":[242],"place":[244],"restrictions":[247],"but":[251],"efficient":[253],"only":[254],"small":[258],"concurrency":[261,281],"among":[262],"write":[263,280],"limited.":[266],"Its":[267],"complexity":[269],"$O(n^2)$":[271],"our":[276],"particular":[277],"measure":[278],"bounded":[283],"constants.":[285]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
