{"id":"https://openalex.org/W2129901741","doi":"https://doi.org/10.1017/s0960129504004268","title":"A domain equation for refinement of partial systems","display_name":"A domain equation for refinement of partial systems","publication_year":2004,"publication_date":"2004-08-01","ids":{"openalex":"https://openalex.org/W2129901741","doi":"https://doi.org/10.1017/s0960129504004268","mag":"2129901741"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129504004268","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004268","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/A5105928180","display_name":"Michael Huth","orcid":"https://orcid.org/0000-0001-9229-3055"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"MICHAEL R. A. HUTH","raw_affiliation_strings":["Department of Computing, Imperial College London, South Kensington campus, London SW7 2AZ, England Email:","Department of Computing, Imperial College London, South Kensington campus, London SW7 2AZ, England Email: M.Huth@doc.imperial.ac.uk#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, South Kensington campus, London SW7 2AZ, England Email:","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Computing, Imperial College London, South Kensington campus, London SW7 2AZ, England Email: M.Huth@doc.imperial.ac.uk#TAB#","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108192878","display_name":"Radha Jagadeesan","orcid":null},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RADHA JAGADEESAN","raw_affiliation_strings":["School of Computer Science, Telecommunications, and Information Sciences, DePaul University, 243 S. Wabash Avenue, Chicago, Illinois 60604-2287 Email:","School of Computer Science, Telecommunications, and Information Sciences, DePaul University, 243 S. Wabash Avenue, Chicago, Illinois 60604-2287 Email: rjagadeesan@cs.depaul.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Telecommunications, and Information Sciences, DePaul University, 243 S. Wabash Avenue, Chicago, Illinois 60604-2287 Email:","institution_ids":["https://openalex.org/I118353179"]},{"raw_affiliation_string":"School of Computer Science, Telecommunications, and Information Sciences, DePaul University, 243 S. Wabash Avenue, Chicago, Illinois 60604-2287 Email: rjagadeesan@cs.depaul.edu","institution_ids":["https://openalex.org/I118353179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103437440","display_name":"David A. Schmidt","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"DAVID A. SCHMIDT","raw_affiliation_strings":["Department of Computing and Information Sciences, Kansas State University, 234 Nichols Hall, Manhattan, Kansas 66506 Email:","Department of Computing and Information Sciences, Kansas State University, 234 Nichols Hall, Manhattan, Kansas 66506 Email: schmidt@cis.ksu.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Information Sciences, Kansas State University, 234 Nichols Hall, Manhattan, Kansas 66506 Email:","institution_ids":["https://openalex.org/I189590672"]},{"raw_affiliation_string":"Department of Computing and Information Sciences, Kansas State University, 234 Nichols Hall, Manhattan, Kansas 66506 Email: schmidt@cis.ksu.edu","institution_ids":["https://openalex.org/I189590672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.884,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.96491701,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"14","issue":"4","first_page":"469","last_page":"505"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994000196456909,"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":0.9994000196456909,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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/T11549","display_name":"Synthetic Organic Chemistry Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.8588883280754089},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.7347297668457031},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6901427507400513},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6585341691970825},{"id":"https://openalex.org/keywords/kripke-structure","display_name":"Kripke structure","score":0.620390772819519},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5031375288963318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45453765988349915},{"id":"https://openalex.org/keywords/pointer","display_name":"Pointer (user interface)","score":0.441049188375473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3778986632823944},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27724993228912354},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.27721840143203735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17140766978263855},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17133235931396484},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06490585207939148}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.8588883280754089},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.7347297668457031},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6901427507400513},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6585341691970825},{"id":"https://openalex.org/C161913894","wikidata":"https://www.wikidata.org/wiki/Q1077740","display_name":"Kripke structure","level":3,"score":0.620390772819519},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5031375288963318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45453765988349915},{"id":"https://openalex.org/C150202949","wikidata":"https://www.wikidata.org/wiki/Q107602","display_name":"Pointer (user interface)","level":2,"score":0.441049188375473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3778986632823944},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27724993228912354},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.27721840143203735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17140766978263855},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17133235931396484},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06490585207939148},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0960129504004268","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004268","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.6925","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6925","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cis.ksu.edu/~schmidt/papers/MSCS23Jan.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.61.7722","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.7722","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://fpl.cs.depaul.edu/rjagadeesan/ftp/hjs04.pdf","raw_type":"text"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/814","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/814","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"505","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":62,"referenced_works":["https://openalex.org/W127654054","https://openalex.org/W258022877","https://openalex.org/W819476629","https://openalex.org/W1481843134","https://openalex.org/W1483568252","https://openalex.org/W1485002745","https://openalex.org/W1503973138","https://openalex.org/W1507173517","https://openalex.org/W1542369348","https://openalex.org/W1547562281","https://openalex.org/W1553858749","https://openalex.org/W1555593767","https://openalex.org/W1566092174","https://openalex.org/W1584114856","https://openalex.org/W1585262231","https://openalex.org/W1586495669","https://openalex.org/W1588557629","https://openalex.org/W1590315663","https://openalex.org/W1592656068","https://openalex.org/W1598283203","https://openalex.org/W1975914482","https://openalex.org/W1978375202","https://openalex.org/W1978469611","https://openalex.org/W1983858044","https://openalex.org/W1990440312","https://openalex.org/W1992946078","https://openalex.org/W2015640848","https://openalex.org/W2024425305","https://openalex.org/W2033100041","https://openalex.org/W2043100293","https://openalex.org/W2049668929","https://openalex.org/W2061438988","https://openalex.org/W2062024564","https://openalex.org/W2077850509","https://openalex.org/W2080430146","https://openalex.org/W2088126145","https://openalex.org/W2090106217","https://openalex.org/W2099106391","https://openalex.org/W2105603754","https://openalex.org/W2107144615","https://openalex.org/W2108796478","https://openalex.org/W2108959714","https://openalex.org/W2112535338","https://openalex.org/W2115309705","https://openalex.org/W2118229393","https://openalex.org/W2139356751","https://openalex.org/W2148106163","https://openalex.org/W2166664233","https://openalex.org/W2169102536","https://openalex.org/W2170577595","https://openalex.org/W2176300081","https://openalex.org/W2206956732","https://openalex.org/W2575702446","https://openalex.org/W2589217375","https://openalex.org/W2912966389","https://openalex.org/W2914011863","https://openalex.org/W2914212232","https://openalex.org/W3144368627","https://openalex.org/W4210639184","https://openalex.org/W4235070964","https://openalex.org/W4250522981","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2399470155","https://openalex.org/W2950451044","https://openalex.org/W2810752651","https://openalex.org/W1561726863","https://openalex.org/W2121590963","https://openalex.org/W2393457982","https://openalex.org/W2977638645","https://openalex.org/W4288101226","https://openalex.org/W4294810627","https://openalex.org/W1541645275"],"abstract_inverted_index":{"A":[0],"reactive":[1],"system":[2,72],"can":[3,31,53,180],"be":[4,32,181],"specified":[5],"by":[6],"a":[7,56,60,69,93,111,123,138,148,168],"labelled":[8],"transition":[9,37,51,71,85,106,117,158,170,194],"system,":[10],"which":[11,19,88],"indicates":[12],"static":[13],"structure,":[14],"along":[15],"with":[16],"temporal-logic":[17],"formulas,":[18],"assert":[20],"dynamic":[21],"behaviour.":[22],"But":[23],"refining":[24],"the":[25,29,75,115,142,184],"former":[26],"while":[27],"preserving":[28],"latter":[30],"difficult,":[33],"because:":[34],"(i)":[35],"Labelled":[36],"systems":[38,86,107,118,130,159,179],"are":[39,89],"\u2018total\u2019":[40],"\u2013":[41,46],"characterised":[42],"up":[43,109],"to":[44,110,131],"bisimulation":[45,66,190],"meaning":[47],"that":[48,73,96,104,121,151,174],"no":[49],"new":[50],"structure":[52],"appear":[54],"in":[55,99],"refinement.":[57],"(ii)":[58],"Alternatively,":[59],"refinement":[61,94],"criterion":[62,95],"not":[63],"based":[64],"on":[65],"might":[67],"generate":[68],"refined":[70],"violates":[74],"temporal":[76],"properties.":[77],"In":[78],"response,":[79],"Larsen":[80],"and":[81,91,126,160,196],"Thomson":[82],"proposed":[83],"modal":[84,105,157,169,193],",":[87],"\u2018partial\u2019,":[90],"defined":[92],"preserved":[97],"formulas":[98],"Hennessy\u2013Milner":[100],"logic.":[101],"We":[102,135,172],"show":[103],"are,":[108],"saturation":[112],"condition,":[113,125],"exactly":[114],"mixed":[116,143],"of":[119,177],"Dams":[120],"meet":[122],"mix":[124],"we":[127],"extend":[128],"such":[129],"non-flat":[132],"state":[133],"sets.":[134],"then":[136],"solve":[137],"domain":[139,150],"equation":[140],"over":[141],"powerdomain":[144],"whose":[145],"solution":[146],"is":[147,152,161],"bifinite":[149],"universal":[153],"for":[154],"all":[155],"saturated":[156],"itself":[162],"fully":[163],"abstract":[164],"when":[165],"considered":[166],"as":[167],"system.":[171],"demonstrate":[173],"many":[175],"frameworks":[176],"partial":[178,186,189],"translated":[182],"into":[183],"domain:":[185],"Kripke":[187,192],"structures,":[188,191],"systems,":[195],"pointer-shape-analysis":[197],"graphs.":[198]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
