{"id":"https://openalex.org/W2038202164","doi":"https://doi.org/10.1137/0209015","title":"Monoids for Rapid Data Flow Analysis","display_name":"Monoids for Rapid Data Flow Analysis","publication_year":1980,"publication_date":"1980-02-01","ids":{"openalex":"https://openalex.org/W2038202164","doi":"https://doi.org/10.1137/0209015","mag":"2038202164"},"language":"en","primary_location":{"id":"doi:10.1137/0209015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0209015","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/A5011220916","display_name":"Barry K. Rosen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Barry K. Rosen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011220916"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.961,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.95729891,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":"1","first_page":"159","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9986000061035156,"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/T11424","display_name":"Security and Verification in Computing","score":0.9986000061035156,"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/semilattice","display_name":"Semilattice","score":0.7760899066925049},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5969451665878296},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.5499854683876038},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.5328099727630615},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5233118534088135},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.47772833704948425},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4493461549282074},{"id":"https://openalex.org/keywords/information-flow","display_name":"Information flow","score":0.4379744529724121},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3427388668060303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3209362328052521},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24947276711463928},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1491755247116089},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1478799283504486},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1294797658920288}],"concepts":[{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.7760899066925049},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5969451665878296},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.5499854683876038},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.5328099727630615},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5233118534088135},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.47772833704948425},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4493461549282074},{"id":"https://openalex.org/C2779136372","wikidata":"https://www.wikidata.org/wiki/Q10283002","display_name":"Information flow","level":2,"score":0.4379744529724121},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3427388668060303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3209362328052521},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24947276711463928},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1491755247116089},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1478799283504486},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1294797658920288},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"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:10.1137/0209015","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0209015","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":[{"score":0.4699999988079071,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1519374584","https://openalex.org/W1607605746","https://openalex.org/W1969077685","https://openalex.org/W1970357395","https://openalex.org/W1983799840","https://openalex.org/W1994372357","https://openalex.org/W2022273990","https://openalex.org/W2030385032","https://openalex.org/W2034826746","https://openalex.org/W2036125801","https://openalex.org/W2040469806","https://openalex.org/W2047615655","https://openalex.org/W2053152889","https://openalex.org/W2053957335","https://openalex.org/W2067924727","https://openalex.org/W2072592376","https://openalex.org/W2073377577","https://openalex.org/W2077265102","https://openalex.org/W2082203695","https://openalex.org/W2085338728","https://openalex.org/W2087493276","https://openalex.org/W2092576944","https://openalex.org/W2102575054","https://openalex.org/W2116098983","https://openalex.org/W2132334337","https://openalex.org/W2147059765","https://openalex.org/W2162436812","https://openalex.org/W2177002043","https://openalex.org/W2885877860","https://openalex.org/W2911980423","https://openalex.org/W4212986500"],"related_works":["https://openalex.org/W3042827207","https://openalex.org/W755468446","https://openalex.org/W2330170983","https://openalex.org/W1986395240","https://openalex.org/W2019118526","https://openalex.org/W433871523","https://openalex.org/W4313233180","https://openalex.org/W1874965007","https://openalex.org/W2565786791","https://openalex.org/W2182511507"],"abstract_inverted_index":{"Ambitious":[0],"optimizing":[1],"compilers":[2,118],"have":[3],"alertness":[4],"and":[5,22,53,73,99,116,130,144],"selectivity":[6],"properties":[7],"that":[8,93],"lead":[9],"to":[10,61,92,120,148],"a":[11,37,50],"serious":[12],"discrepancy":[13,35],"between":[14],"the":[15,23,28,86,95,106,110],"total":[16],"cost":[17,25,84,111],"of":[18,31,49,56,85,94,97,112,153],"data":[19,43,77],"flow":[20,44,78],"analysis":[21,40],"partial":[24],"covered":[26],"by":[27,71],"usual":[29,107],"kind":[30],"theoretical":[32],"estimate.":[33],"This":[34],"motivates":[36],"new":[38,87,124],"high-level":[39],"method":[41,88,96,125],"for":[42,151],"problems":[45,79],"expressible":[46],"in":[47,75,105,114],"terms":[48],"semilattice":[51],"L":[52,60],"monoid":[54],"M":[55,140],"isotope":[57],"maps":[58],"from":[59],"L,":[62],"under":[63],"algebraic":[64],"constraints":[65],"somewhat":[66],"weaker":[67],"than":[68,136],"those":[69],"imposed":[70],"Graham":[72,98],"Wegman":[74,100],"solving":[76],"on":[80],"reducible":[81],"graphs.":[82],"The":[83,123],"is":[89,141],"roughly":[90],"similar":[91],"when":[101,139],"estimates":[102],"are":[103],"made":[104],"way,":[108],"while":[109],"updating":[113],"alert":[115],"selective":[117],"tends":[119],"be":[121,146],"lower.":[122],"copes":[126],"with":[127],"arbitrary":[128],"escapes":[129],"jumps,":[131],"can":[132,145],"find":[133],"sharper":[134],"information":[135],"fixpoint":[137],"methods":[138],"not":[142],"distributive,":[143],"tuned":[147],"trade":[149],"time":[150],"sharpness":[152],"information.":[154]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}