{"id":"https://openalex.org/W2109850278","doi":"https://doi.org/10.1145/505306.505341","title":"Term ordering problem on MDG","display_name":"Term ordering problem on MDG","publication_year":2002,"publication_date":"2002-04-18","ids":{"openalex":"https://openalex.org/W2109850278","doi":"https://doi.org/10.1145/505306.505341","mag":"2109850278"},"language":"en","primary_location":{"id":"doi:10.1145/505306.505341","is_oa":false,"landing_page_url":"https://doi.org/10.1145/505306.505341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM Great Lakes symposium on VLSI","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/A5112306128","display_name":"Yi Feng","orcid":"https://orcid.org/0009-0004-0397-8423"},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Yi Feng","raw_affiliation_strings":["Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada","institution_ids":["https://openalex.org/I70931966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107825553","display_name":"E. Cerny","orcid":null},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eduard Cerny","raw_affiliation_strings":["Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, QC, Canada","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112306128"],"corresponding_institution_ids":["https://openalex.org/I70931966"],"apc_list":null,"apc_paid":null,"fwci":0.6997,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69856369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"160","last_page":"165"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9994000196456909,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.8568466901779175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6860630512237549},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6521034240722656},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5529553294181824},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.5105284452438354},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.50697922706604},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4906255304813385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4744071662425995},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4534951150417328},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.445026159286499},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.4126124382019043},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2353779375553131},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07872724533081055}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.8568466901779175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6860630512237549},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6521034240722656},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5529553294181824},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.5105284452438354},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.50697922706604},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4906255304813385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4744071662425995},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4534951150417328},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.445026159286499},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.4126124382019043},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2353779375553131},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07872724533081055},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/505306.505341","is_oa":false,"landing_page_url":"https://doi.org/10.1145/505306.505341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM Great Lakes symposium on VLSI","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.543.9834","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.543.9834","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cecs.uci.edu/~papers/compendium94-03/papers/2002/glsvlsi02/pdffiles/7_1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W84508643","https://openalex.org/W122407751","https://openalex.org/W1898783984","https://openalex.org/W1999890019","https://openalex.org/W2096076317","https://openalex.org/W2149479807","https://openalex.org/W2156761777","https://openalex.org/W4300906390"],"related_works":["https://openalex.org/W2120204135","https://openalex.org/W2139396251","https://openalex.org/W1796293478","https://openalex.org/W1577544887","https://openalex.org/W2168276503","https://openalex.org/W1573537275","https://openalex.org/W2105713543","https://openalex.org/W174435416","https://openalex.org/W2030557042","https://openalex.org/W1497216778"],"abstract_inverted_index":{"As":[0],"an":[1],"efficient":[2],"representation":[3],"of":[4,19,38,73,111],"Extended":[5],"Finite":[6],"State":[7],"Machines,":[8],"Multiway":[9],"Decision":[10],"Graphs":[11],"(MDG)":[12],"are":[13,40],"suitable":[14],"for":[15],"automatic":[16],"hardware":[17],"verification":[18,30],"Register":[20],"Transfer":[21],"Level":[22],"(RTL)":[23],"designs.":[24],"However,":[25],"in":[26,92],"some":[27],"cases,":[28],"MDG-based":[29],"suffers":[31],"from":[32],"the":[33,43,54,76,103,109],"state":[34,74],"explosion":[35,75],"problem.":[36,80],"Some":[37],"cases":[39],"caused":[41],"by":[42,47,117],"standard":[44,77],"order":[45,50],"used":[46],"MDG":[48],"to":[49],"cross-terms":[51],"that":[52,98,113],"have":[53],"same":[55],"top-level":[56],"function":[57,85],"symbol.":[58],"These":[59],"terms":[60],"usually":[61],"label":[62],"decision":[63],"nodes":[64],"and":[65,87,106],"must":[66],"be":[67,115],"ordered.":[68],"We":[69],"call":[70],"this":[71,93,99],"kind":[72],"term":[78],"ordering":[79],"A":[81],"solution":[82,100],"based":[83],"on":[84],"renaming":[86],"cross-term":[88],"rewriting":[89],"is":[90],"proposed":[91],"paper.":[94],"Experimental":[95],"results":[96],"show":[97],"can":[101,114],"solve":[102],"problem":[104],"completely":[105],"thus":[107],"increase":[108],"range":[110],"circuits":[112],"verified":[116],"MDG.":[118]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
