{"id":"https://openalex.org/W1972689210","doi":"https://doi.org/10.1007/bf01245634","title":"Factorisation of finite state machines under strong and observational equivalences","display_name":"Factorisation of finite state machines under strong and observational equivalences","publication_year":1991,"publication_date":"1991-07-01","ids":{"openalex":"https://openalex.org/W1972689210","doi":"https://doi.org/10.1007/bf01245634","mag":"1972689210"},"language":"en","primary_location":{"id":"doi:10.1007/bf01245634","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf01245634","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/BF01245634","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1007/BF01245634","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045798635","display_name":"Huajun Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Huajun Qin","raw_affiliation_strings":["Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY, USA","Department of Computer Science, SUNY at Stony Brook, Stony Brook, USA 11794#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Computer Science, SUNY at Stony Brook, Stony Brook, USA 11794#TAB#","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109259127","display_name":"Philip Lewis","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip Lewis","raw_affiliation_strings":["Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY, USA","Department of Computer Science, SUNY at Stony Brook, Stony Brook, USA 11794#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Computer Science, SUNY at Stony Brook, Stony Brook, USA 11794#TAB#","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045798635"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.09429186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"3","issue":"3","first_page":"284","last_page":"307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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/T11567","display_name":"semigroups and automata theory","score":0.9990000128746033,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7263470888137817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6201901435852051},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6136124134063721},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5751124620437622},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.513064980506897},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.47529280185699463},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3797309994697571},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3627476394176483},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3487090468406677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29298135638237}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7263470888137817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6201901435852051},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6136124134063721},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5751124620437622},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.513064980506897},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.47529280185699463},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3797309994697571},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3627476394176483},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3487090468406677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29298135638237},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01245634","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf01245634","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/BF01245634","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/bf01245634","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf01245634","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/BF01245634","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7891493916","display_name":"CAP -- A CASE System for Concurrent Ada Programs","funder_award_id":"8822839","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1972689210.pdf","grobid_xml":"https://content.openalex.org/works/W1972689210.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1530952029","https://openalex.org/W1547562281","https://openalex.org/W1842403939","https://openalex.org/W1975155342","https://openalex.org/W2002371579","https://openalex.org/W2021473546","https://openalex.org/W2040127143","https://openalex.org/W2049120688","https://openalex.org/W2056800297","https://openalex.org/W2072538510","https://openalex.org/W2108128207","https://openalex.org/W2121617514","https://openalex.org/W2126736658","https://openalex.org/W2137865376","https://openalex.org/W2167005186","https://openalex.org/W2174215409"],"related_works":["https://openalex.org/W2794559785","https://openalex.org/W2950281908","https://openalex.org/W1754499339","https://openalex.org/W2013873776","https://openalex.org/W2583828359","https://openalex.org/W3102011585","https://openalex.org/W2084977674","https://openalex.org/W2963117165","https://openalex.org/W2963720107","https://openalex.org/W4281261571"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"factorisation":[2,69],"problem":[3],"is":[4,27,43,48,85,164],"to":[5,105,145],"construct":[6],"the":[7,14,17,31,49,107,135,138,167],"specification":[8,110],"of":[9,16,39,111,137,169],"a":[10,44,57,86],"submodule":[11,112],"X":[12,23,36,113],"when":[13],"specifications":[15],"system":[18,40],"and":[19,35,47,66,76,92,96,102,123,163],"all":[20],"submodules":[21,38],"but":[22],"are":[24,37,100,158],"given.":[25,159],"It":[26],"usually":[28],"described":[29],"by":[30],"equation":[32],"where":[33,83],"P":[34,71,73,77,79,115,117,125,127,146,148,152,154],"Q,":[41],"\u00a6":[42],"composition":[45,89],"operator,":[46,90],"equivalence":[50],"criterion.":[51],"In":[52],"this":[53],"paper":[54,161],"we":[55],"use":[56],"finite":[58],"state":[59],"machine":[60],"(FSM)":[61],"model":[62],"consistent":[63],"with":[64,120,130],"CCS":[65,88],"study":[67],"two":[68],"problems:":[70],"|||":[72,78,84,116,126,147,153],"\u223c":[74,91,118,149],"Q":[75,81,119,121,129,131,150,156],"\u2248":[80,93,128,155],",":[82],"derived":[87],"represent":[94],"strong":[95],"observational":[97],"equivalences.":[98],"Algorithms":[99],"presented":[101],"proved":[103],"correct":[104],"find":[106],"most":[108,139],"general":[109,140],"for":[114,124],"\u03c4-deterministic":[122],"deterministic.":[132],"Conditions":[133],"on":[134,166],"submachines":[136],"solutions":[141,144],"that":[142],"remain":[143],"(":[151],")":[157],"This":[160],"extends":[162],"based":[165],"work":[168],"M.":[170],"W.":[171],"Shields.":[172]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}