{"id":"https://openalex.org/W2084028608","doi":"https://doi.org/10.1007/s11227-012-0755-0","title":"State space reduction in modeling checking parameterized cache coherence protocol by two-dimensional abstraction","display_name":"State space reduction in modeling checking parameterized cache coherence protocol by two-dimensional abstraction","publication_year":2012,"publication_date":"2012-04-16","ids":{"openalex":"https://openalex.org/W2084028608","doi":"https://doi.org/10.1007/s11227-012-0755-0","mag":"2084028608"},"language":"en","primary_location":{"id":"doi:10.1007/s11227-012-0755-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11227-012-0755-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11227-012-0755-0.pdf","source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Supercomputing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11227-012-0755-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100720832","display_name":"Yang Guo","orcid":"https://orcid.org/0000-0001-9050-0866"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]},{"id":"https://openalex.org/I4210119392","display_name":"Institute of Microelectronics","ror":"https://ror.org/02s6gs133","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119392"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Guo","raw_affiliation_strings":["Institute of Microelectronics and Microprocessor, School of Computer Science, National University of Defense Technology, Changsha, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Microelectronics and Microprocessor, School of Computer Science, National University of Defense Technology, Changsha, P.R. China","institution_ids":["https://openalex.org/I170215575","https://openalex.org/I4210119392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006218851","display_name":"Wanxia Qu","orcid":"https://orcid.org/0000-0002-3224-8233"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]},{"id":"https://openalex.org/I96415178","display_name":"University of Defence","ror":"https://ror.org/04arkmn57","country_code":"CZ","type":"education","lineage":["https://openalex.org/I96415178"]}],"countries":["CN","CZ"],"is_corresponding":false,"raw_author_name":"Wanxia Qu","raw_affiliation_strings":["Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China","Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China#TAB#","institution_ids":["https://openalex.org/I96415178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363512","display_name":"Long Zhang","orcid":"https://orcid.org/0000-0002-1633-4051"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]},{"id":"https://openalex.org/I4210119392","display_name":"Institute of Microelectronics","ror":"https://ror.org/02s6gs133","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119392"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Zhang","raw_affiliation_strings":["Institute of Microelectronics and Microprocessor, School of Computer Science, National University of Defense Technology, Changsha, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Microelectronics and Microprocessor, School of Computer Science, National University of Defense Technology, Changsha, P.R. China","institution_ids":["https://openalex.org/I170215575","https://openalex.org/I4210119392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100623943","display_name":"Weixia Xu","orcid":"https://orcid.org/0009-0007-6327-7372"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]},{"id":"https://openalex.org/I96415178","display_name":"University of Defence","ror":"https://ror.org/04arkmn57","country_code":"CZ","type":"education","lineage":["https://openalex.org/I96415178"]}],"countries":["CN","CZ"],"is_corresponding":false,"raw_author_name":"Weixia Xu","raw_affiliation_strings":["Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China","Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Institute of Computer, School of Computer Science, National University of Defence Technology, Changsha, P.R. China#TAB#","institution_ids":["https://openalex.org/I96415178"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100720832"],"corresponding_institution_ids":["https://openalex.org/I170215575","https://openalex.org/I4210119392"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3473,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6381146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"62","issue":"2","first_page":"828","last_page":"854"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10142","display_name":"Formal Methods in Verification","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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9991999864578247,"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/computer-science","display_name":"Computer science","score":0.8905486464500427},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8791537284851074},{"id":"https://openalex.org/keywords/cache-coherence","display_name":"Cache coherence","score":0.7598576545715332},{"id":"https://openalex.org/keywords/mesi-protocol","display_name":"MESI protocol","score":0.6147154569625854},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5868870615959167},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.5811716914176941},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5774644017219543},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.5675033926963806},{"id":"https://openalex.org/keywords/cache","display_name":"Cache","score":0.5584535002708435},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5416179299354553},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.46558088064193726},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4483633041381836},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4366685152053833},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4268985092639923},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3786931037902832},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31294286251068115},{"id":"https://openalex.org/keywords/cache-algorithms","display_name":"Cache algorithms","score":0.25867679715156555},{"id":"https://openalex.org/keywords/cpu-cache","display_name":"CPU cache","score":0.22052615880966187},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07311752438545227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07143658399581909}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8905486464500427},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8791537284851074},{"id":"https://openalex.org/C141917322","wikidata":"https://www.wikidata.org/wiki/Q1025017","display_name":"Cache coherence","level":5,"score":0.7598576545715332},{"id":"https://openalex.org/C120936851","wikidata":"https://www.wikidata.org/wiki/Q1408065","display_name":"MESI protocol","level":5,"score":0.6147154569625854},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5868870615959167},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.5811716914176941},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5774644017219543},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.5675033926963806},{"id":"https://openalex.org/C115537543","wikidata":"https://www.wikidata.org/wiki/Q165596","display_name":"Cache","level":2,"score":0.5584535002708435},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5416179299354553},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.46558088064193726},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4483633041381836},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4366685152053833},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4268985092639923},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3786931037902832},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31294286251068115},{"id":"https://openalex.org/C38556500","wikidata":"https://www.wikidata.org/wiki/Q13404475","display_name":"Cache algorithms","level":4,"score":0.25867679715156555},{"id":"https://openalex.org/C189783530","wikidata":"https://www.wikidata.org/wiki/Q352090","display_name":"CPU cache","level":3,"score":0.22052615880966187},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07311752438545227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07143658399581909},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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:10.1007/s11227-012-0755-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11227-012-0755-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11227-012-0755-0.pdf","source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Supercomputing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11227-012-0755-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11227-012-0755-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11227-012-0755-0.pdf","source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Supercomputing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2646651983","display_name":null,"funder_award_id":"61133007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6505718541","display_name":"\u591a\u6838\u591a\u7ebf\u7a0bDSP\u9002\u5e94\u6027\u5b58\u50a8\u7ed3\u6784\u7814\u7a76","funder_award_id":"61070036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2084028608.pdf","grobid_xml":"https://content.openalex.org/works/W2084028608.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W34248226","https://openalex.org/W62489558","https://openalex.org/W295290875","https://openalex.org/W1496710542","https://openalex.org/W1497571013","https://openalex.org/W1504504841","https://openalex.org/W1515916453","https://openalex.org/W1518122051","https://openalex.org/W1532374416","https://openalex.org/W1546036076","https://openalex.org/W1547246349","https://openalex.org/W1554289869","https://openalex.org/W1555742330","https://openalex.org/W1560069502","https://openalex.org/W1561112849","https://openalex.org/W1561218487","https://openalex.org/W1601517679","https://openalex.org/W1605302571","https://openalex.org/W1605914607","https://openalex.org/W1671661949","https://openalex.org/W1850405760","https://openalex.org/W1858288637","https://openalex.org/W1879996931","https://openalex.org/W1995878130","https://openalex.org/W2001823515","https://openalex.org/W2002950519","https://openalex.org/W2033263591","https://openalex.org/W2050487400","https://openalex.org/W2053935034","https://openalex.org/W2077571050","https://openalex.org/W2082471399","https://openalex.org/W2095703264","https://openalex.org/W2116989825","https://openalex.org/W2129182823","https://openalex.org/W2133055577","https://openalex.org/W2140761641","https://openalex.org/W2143812611","https://openalex.org/W2148392844","https://openalex.org/W2151643528","https://openalex.org/W2157202548","https://openalex.org/W2166423938","https://openalex.org/W2275768269","https://openalex.org/W2561675875","https://openalex.org/W2913459036","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2290195868","https://openalex.org/W4285204597","https://openalex.org/W3193874149","https://openalex.org/W2139534474","https://openalex.org/W2013212244","https://openalex.org/W2002047509","https://openalex.org/W2352722396","https://openalex.org/W2107914397","https://openalex.org/W3026856133","https://openalex.org/W13351917"],"abstract_inverted_index":{"Scalability":[0],"of":[1,44,49,61,67,74,95,119,129,134],"cache":[2,35,97],"coherence":[3,36,98,144],"protocol":[4,99,145],"is":[5,20,71,82,89],"a":[6,41,107],"key":[7],"component":[8],"in":[9,146,154],"future":[10],"shared-memory":[11],"multi-core":[12],"or":[13],"multi-processor":[14],"systems.":[15],"The":[16,77],"state":[17,47],"space":[18,48],"explosion":[19],"the":[21,46,58,117,132,143,151,156],"first":[22],"hurdle":[23],"while":[24],"applying":[25,123],"model-checking":[26],"to":[27,32,105,125,141],"scalable":[28],"protocols.":[29,130],"In":[30],"order":[31],"validate":[33],"parameterized":[34,50,62,96],"protocols":[37],"effectively,":[38],"we":[39],"present":[40],"new":[42],"method":[43,121],"reducing":[45,155],"systems,":[51,63],"two-dimensional":[52],"abstraction":[53],"(TDA).":[54],"Drawing":[55],"inspiration":[56],"from":[57],"design":[59],"principle":[60],"an":[64,68],"abstract":[65,110],"model":[66,111],"unbounded":[69],"system":[70],"constructed":[72],"out":[73],"finite":[75],"states.":[76],"mathematical":[78],"principles":[79],"underlying":[80],"TDA":[81,88,138],"presented.":[83],"Theoretical":[84],"reasoning":[85],"demonstrates":[86],"that":[87],"correct":[90],"and":[91,149],"sound.":[92],"An":[93],"example":[94],"based":[100],"on":[101],"MESI":[102],"illustrates":[103],"how":[104],"produce":[106],"much":[108],"smaller":[109],"by":[112,122],"TDA.":[113],"We":[114],"also":[115],"demonstrate":[116],"power":[118],"our":[120],"it":[124],"various":[126],"well-known":[127],"classes":[128],"During":[131],"development":[133],"TH-1A":[135],"supercomputer":[136],"system,":[137],"was":[139],"used":[140],"verify":[142],"FT-1000":[147],"CPU":[148],"showed":[150],"potential":[152],"advantages":[153],"verification":[157],"complexity.":[158]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}