{"id":"https://openalex.org/W2012270896","doi":"https://doi.org/10.1109/tc.1972.5009076","title":"Computer Minimization of Multivalued Switching Functions","display_name":"Computer Minimization of Multivalued Switching Functions","publication_year":1972,"publication_date":"1972-09-01","ids":{"openalex":"https://openalex.org/W2012270896","doi":"https://doi.org/10.1109/tc.1972.5009076","mag":"2012270896"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1972.5009076","doi":"https://doi.org/10.1109/tc.1972.5009076","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1972.5009076","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"},"volume":null,"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/A5111496416","display_name":"Stephen Y. H. Su","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Y. H. Su","raw_affiliation_strings":["Departmnent of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Depatrtmenet of Compzutiur mzld Inlformalct-ionl Sciences, Case Western Reserve University, Cleveland, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmnent of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Depatrtmenet of Compzutiur mzld Inlformalct-ionl Sciences, Case Western Reserve University, Cleveland, OH, USA","institution_ids":["https://openalex.org/I58956616"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063374873","display_name":"Peter T. Cheung","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter T. Cheung","raw_affiliation_strings":["Departmnent of Electrical Engineering and Computer Sciences, University of Southern California, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmnent of Electrical Engineering and Computer Sciences, University of Southern California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.4171,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.80162132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"C-21","issue":"9","first_page":"995","last_page":"1003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.8720999956130981,"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"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.8720999956130981,"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/T11567","display_name":"semigroups and automata theory","score":0.03440000116825104,"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/T10142","display_name":"Formal Methods in Verification","score":0.018799999728798866,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/prime-implicants","display_name":"prime implicants","score":0.9340000152587891},{"id":"https://openalex.org/keywords/hardware-reduction","display_name":"hardware resource reduction","score":0.3109999895095825}],"concepts":[{"id":"https://openalex.org/C102487863","wikidata":"https://www.wikidata.org/wiki/Q1291626","display_name":"Implicant","level":4,"score":0.7376805543899536},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6722986698150635},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5901447534561157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.533348798751831},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5273857116699219},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5094106793403625},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4964016079902649},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47830015420913696},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45124053955078125},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.43425416946411133},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.43126392364501953},{"id":"https://openalex.org/C134835016","wikidata":"https://www.wikidata.org/wiki/Q690265","display_name":"Lookup table","level":2,"score":0.4246314764022827},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.42310696840286255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36194467544555664},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13593465089797974},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.11160638928413391},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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":[{"id":"doi:10.1109/tc.1972.5009076","doi":"https://doi.org/10.1109/tc.1972.5009076","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1972.5009076","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"},{"id":"mag:2186054253","doi":null,"is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/iel5/12/5009065/05009076.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1994125175","https://openalex.org/W2013060616","https://openalex.org/W2063353399","https://openalex.org/W2071730048","https://openalex.org/W2078362711","https://openalex.org/W2099740307","https://openalex.org/W2155955306","https://openalex.org/W2319549361"],"related_works":["https://openalex.org/W2046603834","https://openalex.org/W2045202376","https://openalex.org/W1972326543","https://openalex.org/W2045381241","https://openalex.org/W4210889883","https://openalex.org/W4235895663","https://openalex.org/W2098878557","https://openalex.org/W1999154139","https://openalex.org/W1979258071","https://openalex.org/W2142356657"],"abstract_inverted_index":{"A":[0,17,49],"cubical":[1],"representation":[2],"for":[3,11,53,62,71,95,107,116],"multivalued":[4,54,73,108],"switching":[5,19,74,109],"functions,":[6],"which":[7,83],"is":[8,15,24,33,67,81],"very":[9],"convenient":[10],"digital":[12],"computer":[13,118],"processing,":[14],"presented.":[16],"p-valued":[18],"function":[20],"of":[21,29,35,51,65,78],"n":[22,40],"variables":[23],"represented":[25,45],"by":[26,46],"an":[27],"array":[28],"cubes.":[30],"Each":[31],"cube":[32],"composed":[34],"a":[36,85,104],"logical":[37],"co-efficient":[38],"and":[39,69,103,119],"coordinates":[41],"with":[42,87],"each":[43],"coordinate":[44],"p":[47],"bits.":[48],"set":[50],"operators":[52],"logic":[55],"design":[56],"(such":[57],"as":[58],"sharp,":[59],"union,":[60],"etc.)":[61],"manipulating":[63],"arrays":[64],"cubes":[66],"defined":[68],"used":[70],"minimizing":[72],"functions.":[75],"The":[76],"idea":[77],"``compound":[79],"literals''":[80],"introduced,":[82],"yields":[84],"realization":[86],"less":[88],"hardware":[89],"than":[90],"the":[91],"existing":[92],"methods.":[93],"Algorithms":[94],"finding":[96],"all":[97],"prime":[98,101],"implicants,":[99,102],"essential":[100],"near-minimum":[105],"cover":[106],"functions":[110],"are":[111,114],"presented":[112],"that":[113],"suitable":[115],"both":[117],"hand":[120],"execution.":[121],"These":[122],"algorithms":[123],"have":[124],"been":[125],"programmed":[126],"in":[127],"Fortran.":[128]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}