{"id":"https://openalex.org/W2148217258","doi":"https://doi.org/10.1109/ismvl.2002.1011097","title":"Representations of logic functions using QRMDDs","display_name":"Representations of logic functions using QRMDDs","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2148217258","doi":"https://doi.org/10.1109/ismvl.2002.1011097","mag":"2148217258"},"language":"en","primary_location":{"id":"doi:10.1109/ismvl.2002.1011097","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2002.1011097","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 32nd IEEE 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/A5052371253","display_name":"Shinobu Nagayama","orcid":"https://orcid.org/0000-0002-4783-7487"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"S. Nagayama","raw_affiliation_strings":["Department of Computer Science and Electronics, Kyushu Institute of Technology, Iizuka, Japan","Kyushu Kogyo Daigaku, Kitakyushu, Fukuoka, JP"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Electronics, Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]},{"raw_affiliation_string":"Kyushu Kogyo Daigaku, Kitakyushu, Fukuoka, JP","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063438852","display_name":"T. Sasao","orcid":"https://orcid.org/0009-0009-2556-5386"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Sasao","raw_affiliation_strings":["Dept. of Comput. Sci. & Electron., Kyushu Inst. of Technol., Iizuka, Japan"],"affiliations":[{"raw_affiliation_string":"Dept. of Comput. Sci. & Electron., Kyushu Inst. of Technol., Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109909533","display_name":"Y. Iguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Y. Iguchi","raw_affiliation_strings":["Department of Computer Science, Meiji University, Kawasaki, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Meiji University, Kawasaki, Japan","institution_ids":["https://openalex.org/I16656306"]}]},{"author_position":"last","author":{"id":null,"display_name":"M. Matsuura","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"M. Matsuura","raw_affiliation_strings":["Department of Computer Science and Electronics, Kyushu Institute of Technology, Iizuka, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Electronics, Kyushu Institute of Technology, Iizuka, Japan","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052371253"],"corresponding_institution_ids":["https://openalex.org/I207014233"],"apc_list":null,"apc_paid":null,"fwci":2.5441,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.9008961,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"261","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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 Verification","score":0.9998999834060669,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9987999796867371,"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/benchmark","display_name":"Benchmark (surveying)","score":0.8537818193435669},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7451122999191284},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.47360754013061523},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.473238080739975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4668842852115631},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4587043523788452},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43588393926620483},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34651559591293335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3453275263309479},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3365318775177002}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.8537818193435669},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7451122999191284},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.47360754013061523},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.473238080739975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4668842852115631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4587043523788452},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43588393926620483},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34651559591293335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3453275263309479},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3365318775177002},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ismvl.2002.1011097","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2002.1011097","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 32nd IEEE International Symposium on Multiple- Valued Logic","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.11.7322","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.7322","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsi-cad.com/sasao/Papers/files/ISMVL2002.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.953.8612","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.953.8612","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.researchgate.net/profile/Tsutomu_Sasao/publication/2550567_Representations_of_Logic_Functions_using_QRMDDs/links/09e4151494a87d1ca2000000.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W143396352","https://openalex.org/W1481714151","https://openalex.org/W1494035541","https://openalex.org/W1579530732","https://openalex.org/W1598817068","https://openalex.org/W1922900673","https://openalex.org/W2014505359","https://openalex.org/W2067002313","https://openalex.org/W2080267935","https://openalex.org/W2108166249","https://openalex.org/W2117609272","https://openalex.org/W2118400209","https://openalex.org/W2126693329","https://openalex.org/W2133491672","https://openalex.org/W2145090412","https://openalex.org/W2148957842","https://openalex.org/W2156813722","https://openalex.org/W2157099947","https://openalex.org/W2157632109","https://openalex.org/W2165495918","https://openalex.org/W2168881618","https://openalex.org/W2218006079","https://openalex.org/W2762210817","https://openalex.org/W3142504807","https://openalex.org/W4229995174","https://openalex.org/W4244230487","https://openalex.org/W4252457850","https://openalex.org/W6634795684","https://openalex.org/W6635877672","https://openalex.org/W6745011789"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W4246352526","https://openalex.org/W2028665553","https://openalex.org/W4230315250","https://openalex.org/W2086519370","https://openalex.org/W2142114659"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"quasi-reduced":[3],"multi-valued":[4],"decision":[5],"diagrams":[6],"with":[7],"k":[8,29,88],"bits":[9],"(QRMDD(k)s)":[10],"to":[11],"represent":[12],"two-valued":[13],"logic":[14],"functions.":[15],"It":[16],"shows":[17],"relations":[18],"between":[19,45,90],"the":[20,37,42,46,50,55,61,81],"numbers":[21],"of":[22,28,39,52,63],"nodes":[23,40,53],"in":[24,41,54],"QRMDD(k)s":[25,56],"and":[26,49,60,68,92],"values":[27],"for":[30,57,71],"benchmark":[31,77],"functions;":[32,59],"an":[33],"upper":[34,47],"bound":[35,48],"on":[36],"number":[38,51],"QRMDD(k);":[43],"difference":[44],"random":[58],"amount":[62],"total":[64],"memory,":[65],"evaluation":[66],"time,":[67],"area-time":[69,82],"complexity":[70,83],"QRMDD(k)s.":[72],"Experimental":[73],"results":[74],"using":[75],"standard":[76],"functions":[78],"show":[79],"that":[80],"takes":[84],"its":[85],"minimum":[86],"when":[87],"is":[89],"3":[91],"6.":[93]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}