{"id":"https://openalex.org/W1501182936","doi":"https://doi.org/10.1145/2786982","title":"Embedding of Large Boolean Functions for Reversible Logic","display_name":"Embedding of Large Boolean Functions for Reversible Logic","publication_year":2015,"publication_date":"2015-12-09","ids":{"openalex":"https://openalex.org/W1501182936","doi":"https://doi.org/10.1145/2786982","mag":"1501182936"},"language":"en","primary_location":{"id":"doi:10.1145/2786982","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2786982","pdf_url":null,"source":{"id":"https://openalex.org/S96198239","display_name":"ACM Journal on Emerging Technologies in Computing Systems","issn_l":"1550-4832","issn":["1550-4832","1550-4840"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Journal on Emerging Technologies in Computing Systems","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/A5084007478","display_name":"Mathias Soeken","orcid":"https://orcid.org/0000-0002-0229-8766"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mathias Soeken","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004214923","display_name":"Robert Wille","orcid":"https://orcid.org/0000-0002-4993-7860"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Wille","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053581656","display_name":"Oliver Kesz\u00f6cze","orcid":"https://orcid.org/0000-0003-2033-6153"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Oliver Keszocze","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102000362","display_name":"D. Michael Miller","orcid":"https://orcid.org/0000-0002-4140-3370"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. Michael Miller","raw_affiliation_strings":["Department of Computer Science, University of Victoria, BC, Canada","[Department of Computer Science, University of Victoria, BC, Canada]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"[Department of Computer Science, University of Victoria, BC, Canada]","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071742136","display_name":"Rolf Drechsler","orcid":"https://orcid.org/0000-0002-9872-1740"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rolf Drechsler","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bremen, Germany, Cyber-Physical Systems, DFKI GmbH, Germany#TAB#","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084007478"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":null,"apc_paid":null,"fwci":12.5118,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.98571823,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"12","issue":"4","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.994700014591217,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.8500205278396606},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.808276891708374},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.662171483039856},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.646665096282959},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.582402229309082},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5320314764976501},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4933430254459381},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4824303090572357},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.43266960978507996},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40027356147766113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39960935711860657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3660436272621155},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19978675246238708},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10767766833305359},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.104216068983078}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8500205278396606},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.808276891708374},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.662171483039856},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.646665096282959},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.582402229309082},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5320314764976501},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4933430254459381},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4824303090572357},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.43266960978507996},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40027356147766113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39960935711860657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3660436272621155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19978675246238708},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10767766833305359},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.104216068983078},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":1,"locations":[{"id":"doi:10.1145/2786982","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2786982","pdf_url":null,"source":{"id":"https://openalex.org/S96198239","display_name":"ACM Journal on Emerging Technologies in Computing Systems","issn_l":"1550-4832","issn":["1550-4832","1550-4840"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Journal on Emerging Technologies in Computing Systems","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":21,"referenced_works":["https://openalex.org/W1868653600","https://openalex.org/W1975349742","https://openalex.org/W1998923851","https://openalex.org/W2003043756","https://openalex.org/W2005937118","https://openalex.org/W2021874124","https://openalex.org/W2022880806","https://openalex.org/W2053619330","https://openalex.org/W2058967095","https://openalex.org/W2069447786","https://openalex.org/W2080267935","https://openalex.org/W2099389412","https://openalex.org/W2105259569","https://openalex.org/W2121695129","https://openalex.org/W2122701426","https://openalex.org/W2124643479","https://openalex.org/W2145633150","https://openalex.org/W2146532505","https://openalex.org/W2155163387","https://openalex.org/W2155868549","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W257150968","https://openalex.org/W3140601928","https://openalex.org/W1977451125","https://openalex.org/W2168881618","https://openalex.org/W86917440","https://openalex.org/W2057159994","https://openalex.org/W2109998394","https://openalex.org/W1608751818","https://openalex.org/W2133491672","https://openalex.org/W4389483408"],"abstract_inverted_index":{"Reversible":[0],"logic":[1],"represents":[2],"the":[3,18,90,100,117,120,126],"basis":[4],"for":[5,47,77,87,122],"many":[6],"emerging":[7],"technologies":[8],"and":[9,26,84,95,107],"has":[10],"recently":[11],"been":[12],"intensively":[13],"studied.":[14],"However,":[15],"most":[16],"of":[17,21,92,105,119,129],"Boolean":[19],"functions":[20,57,131],"practical":[22],"interest":[23],"are":[24,58],"irreversible":[25],"must":[27],"be":[28,37],"embedded":[29],"into":[30],"a":[31,51,96,135],"reversible":[32,127],"function":[33,112],"before":[34],"they":[35],"can":[36],"synthesized.":[38],"Thus":[39],"far,":[40],"an":[41,71],"optimal":[42,72],"embedding":[43,73,128],"is":[44,74,132],"guaranteed":[45],"only":[46],"small":[48],"functions,":[49],"whereas":[50],"significant":[52],"overhead":[53],"results":[54],"when":[55],"large":[56,123,130],"considered.":[59],"We":[60,67],"study":[61],"this":[62,65],"issue":[63],"in":[64],"article.":[66],"prove":[68],"that":[69],"determining":[70,88],"coNP-hard":[75],"already":[76],"restricted":[78],"cases.":[79],"Then,":[80],"we":[81,102],"propose":[82],"heuristic":[83],"exact":[85],"methods":[86],"both":[89],"number":[91],"additional":[93],"lines":[94],"corresponding":[97],"embedding.":[98],"For":[99],"approaches,":[101],"considered":[103],"sum":[104],"products":[106],"binary":[108],"decision":[109],"diagrams":[110],"as":[111,134],"representations.":[113],"Experimental":[114],"evaluations":[115],"show":[116],"applicability":[118],"approaches":[121],"functions.":[124],"Consequently,":[125],"enabled":[133],"precursor":[136],"to":[137],"subsequent":[138],"synthesis.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
