{"id":"https://openalex.org/W2047702174","doi":"https://doi.org/10.2168/lmcs-1(1:1)2005","title":"Labelled transition systems as a Stone space","display_name":"Labelled transition systems as a Stone space","publication_year":2005,"publication_date":"2005-01-26","ids":{"openalex":"https://openalex.org/W2047702174","doi":"https://doi.org/10.2168/lmcs-1(1:1)2005","mag":"2047702174"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-1(1:1)2005","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-1(1:1)2005","pdf_url":"https://lmcs.episciences.org/2271/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/2271/pdf","any_repository_has_fulltext":true},"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":true,"raw_author_name":"Michael Huth","raw_affiliation_strings":["Department of Computing, Imperial College London, South Kensington campus, London SW7 2AZ, United Kingdom","Imperial College London,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, South Kensington campus, London SW7 2AZ, United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Imperial College London,#TAB#","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5105928180"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":2.7559,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90960473,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"Volume 1, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9991000294685364,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9976999759674072,"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/compact-space","display_name":"Compact space","score":0.6793233156204224},{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.6664700508117676},{"id":"https://openalex.org/keywords/metrization-theorem","display_name":"Metrization theorem","score":0.6482654213905334},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.6296787858009338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5131884217262268},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.4642665386199951},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.44484007358551025},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.42263054847717285},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3810117244720459},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3737088441848755},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35509932041168213},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35046806931495667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28957509994506836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12862396240234375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08281761407852173}],"concepts":[{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6793233156204224},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.6664700508117676},{"id":"https://openalex.org/C105433845","wikidata":"https://www.wikidata.org/wiki/Q1194053","display_name":"Metrization theorem","level":3,"score":0.6482654213905334},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.6296787858009338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5131884217262268},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.4642665386199951},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.44484007358551025},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.42263054847717285},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3810117244720459},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3737088441848755},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35509932041168213},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35046806931495667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28957509994506836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12862396240234375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08281761407852173},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"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":11,"locations":[{"id":"doi:10.2168/lmcs-1(1:1)2005","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-1(1:1)2005","pdf_url":"https://lmcs.episciences.org/2271/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:cs/0412063","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0412063","pdf_url":"https://arxiv.org/pdf/cs/0412063","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.341.7776","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.7776","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0412063v4.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.341.8254","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.8254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0412063v3.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.341.8329","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.8329","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0412063v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.342.6389","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.6389","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0412063v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.342.8746","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.8746","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0412063v5.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.352.7874","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.352.7874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pubs.doc.ic.ac.uk/labelled-systems-metrics-Stone/labelled-systems-metrics-Stone.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:d0ae8c2a23cf4108bfdcc4f172677a0e","is_oa":true,"landing_page_url":"https://doaj.org/article/d0ae8c2a23cf4108bfdcc4f172677a0e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 1, Issue 1 (2005)","raw_type":"article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/57980","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/57980","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":"","raw_type":"Journal Article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/812","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/812","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":"28","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-1(1:1)2005","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-1(1:1)2005","pdf_url":"https://lmcs.episciences.org/2271/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2047702174.pdf","grobid_xml":"https://content.openalex.org/works/W2047702174.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W142499984","https://openalex.org/W188994241","https://openalex.org/W258022877","https://openalex.org/W313119928","https://openalex.org/W1481843134","https://openalex.org/W1501338961","https://openalex.org/W1503316778","https://openalex.org/W1503973138","https://openalex.org/W1507173517","https://openalex.org/W1555593767","https://openalex.org/W1582269801","https://openalex.org/W1588557629","https://openalex.org/W1589294645","https://openalex.org/W1596249124","https://openalex.org/W1623229847","https://openalex.org/W1805911171","https://openalex.org/W1964838474","https://openalex.org/W1976306096","https://openalex.org/W1978375202","https://openalex.org/W1978469611","https://openalex.org/W2002442023","https://openalex.org/W2003545826","https://openalex.org/W2015640848","https://openalex.org/W2020890916","https://openalex.org/W2028924965","https://openalex.org/W2029263782","https://openalex.org/W2032386884","https://openalex.org/W2035675534","https://openalex.org/W2043100293","https://openalex.org/W2061786858","https://openalex.org/W2073806869","https://openalex.org/W2080430146","https://openalex.org/W2083547263","https://openalex.org/W2090106217","https://openalex.org/W2096094850","https://openalex.org/W2105603754","https://openalex.org/W2107471150","https://openalex.org/W2110287808","https://openalex.org/W2129901741","https://openalex.org/W2138921473","https://openalex.org/W2144793956","https://openalex.org/W2148106163","https://openalex.org/W2152692559","https://openalex.org/W2157144873","https://openalex.org/W2177254373","https://openalex.org/W2292828710","https://openalex.org/W2575702446","https://openalex.org/W2589579233","https://openalex.org/W2912966389","https://openalex.org/W2914011863","https://openalex.org/W2914212232","https://openalex.org/W4230531028","https://openalex.org/W4241125719","https://openalex.org/W4252826679","https://openalex.org/W4285719527","https://openalex.org/W4388298908"],"related_works":["https://openalex.org/W2069168701","https://openalex.org/W2399470155","https://openalex.org/W2129909535","https://openalex.org/W2167838019","https://openalex.org/W3210775325","https://openalex.org/W2105826449","https://openalex.org/W1554045856","https://openalex.org/W2171004374","https://openalex.org/W1997454380","https://openalex.org/W2107931451"],"abstract_inverted_index":{"A":[0],"fully":[1],"abstract":[2,137],"and":[3,11,51,92,120,134],"universal":[4],"domain":[5,37],"model":[6,20,38],"for":[7,21,97,130],"modal":[8,83,131,150],"transition":[9,27,64,78,84,132,144,151],"systems":[10,28,65,79,108,145],"refinement":[12],"is":[13,44,90],"shown":[14],"to":[15,107],"be":[16],"a":[17,30,45,82,94],"maximal-points":[18],"space":[19,47],"the":[22,56,74],"bisimulation":[23],"quotient":[24,43],"of":[25,33,58,76,88,139,142,149],"labelled":[26,63,77,143],"over":[29],"finite":[31],"set":[32,75],"events.":[34],"In":[35],"this":[36,42,69],"we":[39,71],"prove":[40],"that":[41,61,73,80,109],"Stone":[46],"whose":[48],"compact,":[49],"zero-dimensional,":[50],"ultra-metrizable":[52],"Hausdorff":[53],"topology":[54],"measures":[55,129],"degree":[57],"bisimilarity":[59],"such":[60,101],"image-finite":[62],"are":[66],"dense.":[67],"Using":[68],"compactness":[70,95],"show":[72],"refine":[81],"system,":[85],"its":[86],"''set":[87],"implementations'',":[89],"compact":[91,140],"derive":[93],"theorem":[96],"Hennessy-Milner":[98],"logic":[99],"on":[100,123],"implementation":[102],"sets.":[103],"These":[104],"results":[105],"extend":[106],"also":[110],"have":[111],"partially":[112],"specified":[113],"state":[114],"propositions,":[115],"unify":[116],"existing":[117],"denotational,":[118],"operational,":[119],"metric":[121],"semantics":[122],"partial":[124],"processes,":[125],"render":[126],"robust":[127],"consistency":[128],"systems,":[133],"yield":[135],"an":[136],"interpretation":[138],"sets":[141,148],"as":[146],"Scott-closed":[147],"systems.":[152]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}