{"id":"https://openalex.org/W2406171849","doi":"https://doi.org/10.1109/fmcad.2015.7542249","title":"Universal boolean functional vectors","display_name":"Universal boolean functional vectors","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W2406171849","doi":"https://doi.org/10.1109/fmcad.2015.7542249","mag":"2406171849"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/fmcad.2015.7542249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.cs.ubc.ca/%7Ejbingham/fmcad2015.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067218159","display_name":"Jesse Bingham","orcid":"https://orcid.org/0000-0001-7015-0440"},"institutions":[{"id":"https://openalex.org/I1343180700","display_name":"Intel (United States)","ror":"https://ror.org/01ek73717","country_code":"US","type":"company","lineage":["https://openalex.org/I1343180700"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jesse Bingham","raw_affiliation_strings":["Intel Corporation Hillsboro, Oregon, U.S.A."],"affiliations":[{"raw_affiliation_string":"Intel Corporation Hillsboro, Oregon, U.S.A.","institution_ids":["https://openalex.org/I1343180700"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067218159"],"corresponding_institution_ids":["https://openalex.org/I1343180700"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":1,"citation_normalized_percentile":{"value":0.281478,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":66,"max":73},"biblio":{"volume":"33","issue":null,"first_page":"25","last_page":"32"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Software Verification and Control","score":1.0,"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/T10142","display_name":"Formal Methods in Software Verification and Control","score":1.0,"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/T10743","display_name":"Automated Software Testing Techniques","score":0.998,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":"Program Analysis and Verification Techniques","score":0.9969,"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/binary-decision-diagram","display_name":"Binary decision diagram","score":0.87837213},{"id":"https://openalex.org/keywords/control-barrier-functions","display_name":"Control Barrier Functions","score":0.50422},{"id":"https://openalex.org/keywords/boolean-data-type","display_name":"Boolean data type","score":0.44817248}],"concepts":[{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.87837213},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.787603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.61895835},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5442044},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.52059555},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47893864},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.46123385},{"id":"https://openalex.org/C7342684","wikidata":"https://www.wikidata.org/wiki/Q520777","display_name":"Boolean data type","level":2,"score":0.44817248},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4432935},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4336444},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4185189},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32886237},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1680454},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/fmcad.2015.7542249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.699.2446","pdf_url":"http://www.cs.ubc.ca/%7Ejbingham/fmcad2015.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.699.2446","pdf_url":"http://www.cs.ubc.ca/%7Ejbingham/fmcad2015.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions","score":0.77}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":32,"referenced_works":["https://openalex.org/W1508918024","https://openalex.org/W1604909254","https://openalex.org/W1797813716","https://openalex.org/W1849492604","https://openalex.org/W1972934510","https://openalex.org/W1976030655","https://openalex.org/W1986558678","https://openalex.org/W1990363810","https://openalex.org/W1994143452","https://openalex.org/W2013638043","https://openalex.org/W2028974596","https://openalex.org/W2047526670","https://openalex.org/W2071719260","https://openalex.org/W2080267935","https://openalex.org/W2101481392","https://openalex.org/W2102591126","https://openalex.org/W2104779491","https://openalex.org/W2108016168","https://openalex.org/W2112643551","https://openalex.org/W2115037476","https://openalex.org/W2122355433","https://openalex.org/W2134388794","https://openalex.org/W2145343136","https://openalex.org/W2151042827","https://openalex.org/W2171103562","https://openalex.org/W2768579407","https://openalex.org/W2802193974","https://openalex.org/W3186546642","https://openalex.org/W4235684572","https://openalex.org/W4236006378","https://openalex.org/W4243540980","https://openalex.org/W4253939604"],"related_works":["https://openalex.org/W4389483408","https://openalex.org/W4248224315","https://openalex.org/W3187430668","https://openalex.org/W2390183607","https://openalex.org/W2187008505","https://openalex.org/W2169792446","https://openalex.org/W2133491672","https://openalex.org/W2109998394","https://openalex.org/W1995041806","https://openalex.org/W1967845326"],"abstract_inverted_index":{"In":[0],"the":[1,73,104,134,144,152,157,186],"simplest":[2],"setting,":[3],"one":[4],"represents":[5],"a":[6,18,27,89,93,138,191],"boolean":[7],"function":[8,19,28,108],"using":[9,57,113],"expressions":[10],"over":[11],"variables,":[12],"where":[13,133],"each":[14],"variable":[15,126],"corresponds":[16],"to":[17,25,42,50,121,184],"input.":[20],"So-called":[21],"parametric":[22],"representations,":[23,53],"used":[24,155],"represent":[26],"in":[29,156,166,169],"some":[30],"restricted":[31],"subspace":[32],"of":[33,88,190,200],"its":[34],"domain,":[35],"break":[36,72],"this":[37,205],"correspondence":[38],"by":[39],"allowing":[40],"inputs":[41],"be":[43,110,122],"associated":[44],"with":[45],"functions.":[46],"This":[47],"can":[48,91,109],"lead":[49],"more":[51],"succinct":[52],"for":[54,99,124],"example":[55],"when":[56],"binary":[58],"decision":[59],"diagrams":[60],"(BDDs).":[61],"Here":[62],"we":[63,101,195],"introduce":[64],"Universal":[65],"Boolean":[66],"Functional":[67],"Vectors":[68],"(UBFVs),":[69],"which":[70],"also":[71,180],"correspondence,":[74],"but":[75],"done":[76,162],"so":[77],"such":[78],"that":[79],"all":[80],"input":[81],"vectors":[82],"are":[83,119],"accounted":[84],"for.":[85],"Intelligent":[86],"choice":[87],"UBFV":[90,135],"have":[92],"dramatic":[94],"impact":[95,140],"on":[96,141],"BDD":[97],"size;":[98],"instance":[100],"show":[102,129],"how":[103],"hidden":[105],"weighted":[106],"bit":[107],"efficiently":[111],"represented":[112],"UBFVs,":[114],"whereas":[115],"without":[116],"UBFVs":[117],"BDDs":[118],"known":[120],"exponential":[123],"any":[125],"order.":[127],"We":[128,172],"several":[130,197],"industrial":[131],"examples":[132],"approach":[136,159],"has":[137],"huge":[139],"proof":[142,170],"performance,":[143],"\"killer":[145],"app\"":[146],"being":[147],"floating":[148],"point":[149],"addition,":[150],"wherein":[151],"wide":[153],"case-split":[154],"state-of-the-art":[158],"is":[160],"entirely":[161],"away":[163],"with,":[164],"resulting":[165],"70-fold":[167],"reduction":[168],"runtime.":[171],"give":[173],"other":[174],"theoretical":[175],"and":[176,179],"experimental":[177],"results,":[178],"provide":[181],"two":[182],"approaches":[183],"verifying":[185],"crucial":[187],"\"universality\"":[188],"aspect":[189],"proposed":[192],"UBFV.":[193],"Finally,":[194],"suggest":[196],"interesting":[198],"avenues":[199],"future":[201],"research":[202],"stemming":[203],"from":[204],"program.":[206]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2406171849","counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2024-10-07T22:11:05.655653","created_date":"2016-06-24"}