{"id":"https://openalex.org/W2159815396","doi":"https://doi.org/10.1017/s0960129513000030","title":"Bisimulation proof methods in a path-based specification language for polynomial coalgebras","display_name":"Bisimulation proof methods in a path-based specification language for polynomial coalgebras","publication_year":2014,"publication_date":"2014-11-10","ids":{"openalex":"https://openalex.org/W2159815396","doi":"https://doi.org/10.1017/s0960129513000030","mag":"2159815396"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129513000030","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129513000030","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-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/A5023904026","display_name":"Xiaocong Zhou","orcid":"https://orcid.org/0000-0003-3756-3483"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"XIAO-CONG ZHOU","raw_affiliation_strings":["School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101765226","display_name":"Yongji Li","orcid":"https://orcid.org/0000-0002-3936-1386"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YONG-JI LI","raw_affiliation_strings":["School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100446261","display_name":"Wen\u2010Jun Li","orcid":"https://orcid.org/0000-0002-1233-736X"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"WEN-JUN LI","raw_affiliation_strings":["School of Software, Sun Yat-sen University, Guangzhou 510275, P. R. China","School of Software, Sun Yat-Sen University, Guangzhou 510275, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Software, Sun Yat-sen University, Guangzhou 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Software, Sun Yat-Sen University, Guangzhou 510275, P.R. China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101864168","display_name":"Haiyan Qiao","orcid":"https://orcid.org/0009-0004-7285-2226"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"HAI-YAN QIAO","raw_affiliation_strings":["School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002071546","display_name":"Zhongmei Shu","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHONG-MEI SHU","raw_affiliation_strings":["School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510275, P. R. China E-mail:","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510275,P. R. ChinaE-mail:isszxc@mail.sysu.edu.cn","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5023904026"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1176169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"4","first_page":"765","last_page":"804"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/bisimulation","display_name":"Bisimulation","score":0.9743201732635498},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7729755640029907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4843326807022095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4720227122306824},{"id":"https://openalex.org/keywords/pspace","display_name":"PSPACE","score":0.46807846426963806},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4587434232234955},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4354344606399536},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4272095561027527},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.41788846254348755},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.41606637835502625},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.4147881865501404},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38486000895500183},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3583033084869385},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2879887819290161},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28178220987319946},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2291381061077118},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.1366683840751648}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.9743201732635498},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7729755640029907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4843326807022095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4720227122306824},{"id":"https://openalex.org/C197685441","wikidata":"https://www.wikidata.org/wiki/Q500716","display_name":"PSPACE","level":3,"score":0.46807846426963806},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4587434232234955},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4354344606399536},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4272095561027527},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.41788846254348755},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.41606637835502625},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.4147881865501404},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38486000895500183},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3583033084869385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2879887819290161},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28178220987319946},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2291381061077118},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.1366683840751648},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129513000030","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129513000030","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W99425964","https://openalex.org/W137343502","https://openalex.org/W1525465660","https://openalex.org/W1556021119","https://openalex.org/W1568830699","https://openalex.org/W1838682714","https://openalex.org/W1969533183","https://openalex.org/W1975597184","https://openalex.org/W1976736255","https://openalex.org/W1982431152","https://openalex.org/W2008838944","https://openalex.org/W2010924417","https://openalex.org/W2020914843","https://openalex.org/W2028958199","https://openalex.org/W2031863357","https://openalex.org/W2048565204","https://openalex.org/W2056138173","https://openalex.org/W2061056925","https://openalex.org/W2077760000","https://openalex.org/W2080668893","https://openalex.org/W2088189323","https://openalex.org/W2088378600","https://openalex.org/W2104717233","https://openalex.org/W2116322260","https://openalex.org/W2124662797","https://openalex.org/W2128995870","https://openalex.org/W2149949146","https://openalex.org/W2154547008","https://openalex.org/W2164891688","https://openalex.org/W2170360311","https://openalex.org/W2341511048","https://openalex.org/W2404846429","https://openalex.org/W2587256088","https://openalex.org/W2613639727","https://openalex.org/W3101185239","https://openalex.org/W3105604159","https://openalex.org/W4213277014","https://openalex.org/W4254582745","https://openalex.org/W4292016827","https://openalex.org/W4296395898","https://openalex.org/W6713596871","https://openalex.org/W6737738930"],"related_works":["https://openalex.org/W2071463650","https://openalex.org/W2062493106","https://openalex.org/W2093450770","https://openalex.org/W149303744","https://openalex.org/W2303187054","https://openalex.org/W3004609828","https://openalex.org/W2164883513","https://openalex.org/W45901170","https://openalex.org/W2052776783","https://openalex.org/W1907364945"],"abstract_inverted_index":{"What":[0],"reasoning":[1,58,154],"rules":[2,19,155,174],"can":[3,102,114,128,150],"be":[4,26,55,103,115,129,151],"used":[5,20,56,97],"for":[6,37,147],"the":[7,88,95,119,157,169,173,177],"deduction":[8],"of":[9,49,69,79,91,121],"bisimulation":[10,29,34,136,141,178],"formulas":[11],"in":[12,21,98,156,168],"coalgebraic":[13],"specifications":[14,23,101],"is":[15,72],"problematic":[16],"because":[17,112],"those":[18],"algebraic":[22],"possibly":[24],"cannot":[25,54],"applied":[27,104],"to":[28,74,105,163],"formulas.":[30],"Although":[31],"some":[32],"categorical":[33],"proof":[35,138,179],"methods":[36],"coalgebras":[38,50,92],"have":[39],"been":[40],"proposed,":[41],"they":[42,53],"are":[43],"not":[44],"based":[45,66,131],"on":[46,67,87,132],"specification":[47,64],"languages":[48],"so":[51,93],"that":[52,94],"as":[57],"rules.":[59],"In":[60,110],"this":[61],"paper,":[62],"a":[63,107],"language":[65,170],"paths":[68],"polynomial":[70,76,80],"functors":[71,81],"proposed":[73],"specify":[75],"coalgebras.":[77],"Paths":[78],"give":[82],"detailed":[83],"observations":[84],"and":[85,125,134,144],"transitions":[86],"state":[89],"space":[90],"techniques":[96],"transition":[99,148],"system":[100],"such":[106],"path-based":[108],"language.":[109,158],"particular,":[111],"bisimulations":[113,167],"characterized":[116],"by":[117,171,176],"paths,":[118,133],"notions":[120],"progressions,":[122],"respectful":[123],"functions":[124],"faithful":[126],"contexts":[127,146],"defined":[130],"then":[135],"up-to":[137,142,145],"techniques,":[139],"including":[140],"bisimilarities":[143],"systems":[149],"transformed":[152],"into":[153],"Several":[159],"examples":[160],"illustrate":[161],"how":[162],"reason":[164],"syntactically":[165],"about":[166],"using":[172],"induced":[175],"techniques.":[180]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}