{"id":"https://openalex.org/W2165399813","doi":"https://doi.org/10.1109/ismvl.2004.1319922","title":"On universality of general reversible multiple-valued logic gates","display_name":"On universality of general reversible multiple-valued logic gates","publication_year":2004,"publication_date":"2004-09-28","ids":{"openalex":"https://openalex.org/W2165399813","doi":"https://doi.org/10.1109/ismvl.2004.1319922","mag":"2165399813"},"language":"en","primary_location":{"id":"doi:10.1109/ismvl.2004.1319922","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2004.1319922","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 34th International Symposium on Multiple-Valued Logic","raw_type":"proceedings-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/A5090536558","display_name":"Pawe\u0142 Kerntopf","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"P. Kerntopf","raw_affiliation_strings":["Institute of Computer Science, Department of Electronics and Information Technology, Warsaw University of Technology, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Department of Electronics and Information Technology, Warsaw University of Technology, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048693034","display_name":"Marek Perkowski","orcid":"https://orcid.org/0000-0002-0358-1176"},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.A. Perkowski","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Portland State University, Portland, OR, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Portland State University, Portland, OR, USA","institution_ids":["https://openalex.org/I126345244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045100942","display_name":"Mozammel H. A. Khan","orcid":"https://orcid.org/0000-0002-8967-6095"},"institutions":[{"id":"https://openalex.org/I885507782","display_name":"East West University","ror":"https://ror.org/05p0tzt32","country_code":"BD","type":"education","lineage":["https://openalex.org/I885507782"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"M.H.A. Khan","raw_affiliation_strings":["Department of Computer Science and Engineering, East West University, Dhaka, Bangladesh"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, East West University, Dhaka, Bangladesh","institution_ids":["https://openalex.org/I885507782"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090536558"],"corresponding_institution_ids":["https://openalex.org/I108403487","https://openalex.org/I4210087266"],"apc_list":null,"apc_paid":null,"fwci":1.3491,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.8553641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"68","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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":0.9994999766349792,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9890000224113464,"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/logic-gate","display_name":"Logic gate","score":0.7333699464797974},{"id":"https://openalex.org/keywords/and-or-invert","display_name":"AND-OR-Invert","score":0.7217953205108643},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.5534435510635376},{"id":"https://openalex.org/keywords/pass-transistor-logic","display_name":"Pass transistor logic","score":0.5458349585533142},{"id":"https://openalex.org/keywords/universal-set","display_name":"Universal set","score":0.5212672352790833},{"id":"https://openalex.org/keywords/logic-synthesis","display_name":"Logic synthesis","score":0.49307915568351746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47231432795524597},{"id":"https://openalex.org/keywords/logic-family","display_name":"Logic family","score":0.47013387084007263},{"id":"https://openalex.org/keywords/logic-optimization","display_name":"Logic optimization","score":0.4683959484100342},{"id":"https://openalex.org/keywords/nor-logic","display_name":"NOR logic","score":0.42797282338142395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40952885150909424},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3851422667503357},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3438829183578491},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3312344551086426},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3224141001701355},{"id":"https://openalex.org/keywords/digital-electronics","display_name":"Digital electronics","score":0.2780400216579437},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.13907918334007263},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07230553030967712},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06075736880302429}],"concepts":[{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.7333699464797974},{"id":"https://openalex.org/C130126468","wikidata":"https://www.wikidata.org/wiki/Q4652943","display_name":"AND-OR-Invert","level":5,"score":0.7217953205108643},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.5534435510635376},{"id":"https://openalex.org/C198521697","wikidata":"https://www.wikidata.org/wiki/Q7142438","display_name":"Pass transistor logic","level":4,"score":0.5458349585533142},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.5212672352790833},{"id":"https://openalex.org/C157922185","wikidata":"https://www.wikidata.org/wiki/Q173198","display_name":"Logic synthesis","level":3,"score":0.49307915568351746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47231432795524597},{"id":"https://openalex.org/C162454741","wikidata":"https://www.wikidata.org/wiki/Q173359","display_name":"Logic family","level":4,"score":0.47013387084007263},{"id":"https://openalex.org/C28449271","wikidata":"https://www.wikidata.org/wiki/Q6667469","display_name":"Logic optimization","level":4,"score":0.4683959484100342},{"id":"https://openalex.org/C165862026","wikidata":"https://www.wikidata.org/wiki/Q670372","display_name":"NOR logic","level":5,"score":0.42797282338142395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40952885150909424},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3851422667503357},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3438829183578491},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3312344551086426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3224141001701355},{"id":"https://openalex.org/C81843906","wikidata":"https://www.wikidata.org/wiki/Q173156","display_name":"Digital electronics","level":3,"score":0.2780400216579437},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.13907918334007263},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07230553030967712},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06075736880302429},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ismvl.2004.1319922","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2004.1319922","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 34th International Symposium on Multiple-Valued Logic","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W33486614","https://openalex.org/W117331286","https://openalex.org/W130608904","https://openalex.org/W268959080","https://openalex.org/W386787077","https://openalex.org/W1502584655","https://openalex.org/W1569069361","https://openalex.org/W1620538313","https://openalex.org/W2012206667","https://openalex.org/W2059041305","https://openalex.org/W2063684073","https://openalex.org/W2068967633","https://openalex.org/W2073316337","https://openalex.org/W2083831576","https://openalex.org/W2097362889","https://openalex.org/W2099321869","https://openalex.org/W2112450120","https://openalex.org/W2114598706","https://openalex.org/W2134237002","https://openalex.org/W2394978321","https://openalex.org/W2571361829","https://openalex.org/W2912120411","https://openalex.org/W2912318510","https://openalex.org/W4233798822","https://openalex.org/W4242597152","https://openalex.org/W4251109627","https://openalex.org/W4251702100","https://openalex.org/W4253477627","https://openalex.org/W4292002790","https://openalex.org/W6604759234","https://openalex.org/W6613316097","https://openalex.org/W6630215918"],"related_works":["https://openalex.org/W2789662562","https://openalex.org/W2502492371","https://openalex.org/W4214735176","https://openalex.org/W2151687972","https://openalex.org/W2619968078","https://openalex.org/W2991771859","https://openalex.org/W1966764473","https://openalex.org/W1827076955","https://openalex.org/W2058822291","https://openalex.org/W3046672745"],"abstract_inverted_index":{"A":[0],"set":[1],"of":[2,29,42,46,50,74,81,89],"p-valued":[3,13,51],"logic":[4,14,21,53],"gates":[5,30,54,83,91],"(primitives)":[6],"is":[7],"called":[8],"universal":[9,47],"if":[10],"an":[11,71],"arbitrary":[12,72],"function":[15],"can":[16,67],"be":[17,68],"realized":[18],"by":[19],"a":[20,26],"circuit":[22],"built":[23],"up":[24],"from":[25],"finite":[27],"number":[28,45,73],"belonging":[31],"to":[32,70],"this":[33,36],"set.":[34],"In":[35],"paper,":[37],"we":[38],"consider":[39],"the":[40,44,62],"problem":[41],"determining":[43],"single-gate":[48],"libraries":[49],"reversible":[52],"with":[55],"two":[56,59],"inputs":[57],"and":[58,84],"outputs,":[60],"under":[61],"assumption":[63],"that":[64,86],"constant":[65],"signals":[66],"applied":[69],"inputs.":[75],"We":[76],"have":[77],"proved":[78],"some":[79],"properties":[80],"such":[82],"established":[85],"over":[87],"97%":[88],"ternary":[90],"are":[92],"universal.":[93]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}