{"id":"https://openalex.org/W2076887578","doi":"https://doi.org/10.3166/jancl.20.437-455","title":"Metric temporal reasoning with less than two clocks","display_name":"Metric temporal reasoning with less than two clocks","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2076887578","doi":"https://doi.org/10.3166/jancl.20.437-455","mag":"2076887578"},"language":"en","primary_location":{"id":"doi:10.3166/jancl.20.437-455","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.20.437-455","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","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/A5036930915","display_name":"Mark Reynolds","orcid":"https://orcid.org/0000-0002-5415-0544"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Mark Reynolds","raw_affiliation_strings":["a  The University of Western Australia ,  Australia","School of Computer Science and Software Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a  The University of Western Australia ,  Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"School of Computer Science and Software Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036930915"],"corresponding_institution_ids":["https://openalex.org/I177877127"],"apc_list":null,"apc_paid":null,"fwci":1.2759,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80327103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"4","first_page":"437","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9958000183105469,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9957000017166138,"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/temporal-logic","display_name":"Temporal logic","score":0.7527754306793213},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7489843368530273},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.5580496788024902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.545994758605957},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4889782667160034},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47506067156791687},{"id":"https://openalex.org/keywords/computation-tree-logic","display_name":"Computation tree logic","score":0.46977466344833374},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4449729025363922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33948689699172974},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19778287410736084}],"concepts":[{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.7527754306793213},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7489843368530273},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.5580496788024902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.545994758605957},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4889782667160034},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47506067156791687},{"id":"https://openalex.org/C198008173","wikidata":"https://www.wikidata.org/wiki/Q1040040","display_name":"Computation tree logic","level":3,"score":0.46977466344833374},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4449729025363922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33948689699172974},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19778287410736084},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3166/jancl.20.437-455","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.20.437-455","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/9594dd77-0926-4998-9cc0-8c783cbb89d6","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/9594dd77-0926-4998-9cc0-8c783cbb89d6","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Reynolds, M 2010, 'Metric temporal reasoning with less than two clocks', Journal of Applied Non-Classical Logics, vol. 20, no. 4, pp. 437-455.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W120333500","https://openalex.org/W190073680","https://openalex.org/W1480255812","https://openalex.org/W1498203978","https://openalex.org/W1500110201","https://openalex.org/W1506588809","https://openalex.org/W1525691290","https://openalex.org/W1529754291","https://openalex.org/W1540180001","https://openalex.org/W1547246349","https://openalex.org/W1558299797","https://openalex.org/W1568594638","https://openalex.org/W1589223644","https://openalex.org/W1607529814","https://openalex.org/W1885037678","https://openalex.org/W1912165540","https://openalex.org/W1949723230","https://openalex.org/W1967076997","https://openalex.org/W1980256915","https://openalex.org/W1981208316","https://openalex.org/W1990865424","https://openalex.org/W2004532354","https://openalex.org/W2022551103","https://openalex.org/W2023808162","https://openalex.org/W2026629052","https://openalex.org/W2030263557","https://openalex.org/W2031528374","https://openalex.org/W2036472753","https://openalex.org/W2049696538","https://openalex.org/W2074899782","https://openalex.org/W2088312079","https://openalex.org/W2093916942","https://openalex.org/W2098171268","https://openalex.org/W2139891885","https://openalex.org/W2152003894","https://openalex.org/W2171225173","https://openalex.org/W2286903566","https://openalex.org/W2506987745","https://openalex.org/W2512926276","https://openalex.org/W2583232828","https://openalex.org/W2912480327","https://openalex.org/W2912898406","https://openalex.org/W2913470734","https://openalex.org/W2970129202","https://openalex.org/W3023528543","https://openalex.org/W3103517460","https://openalex.org/W4213219346","https://openalex.org/W4236708701","https://openalex.org/W4254098125"],"related_works":["https://openalex.org/W858755136","https://openalex.org/W1981889059","https://openalex.org/W3005864166","https://openalex.org/W2143025323","https://openalex.org/W31328628","https://openalex.org/W3091862538","https://openalex.org/W1969550103","https://openalex.org/W1031601050","https://openalex.org/W2105438026","https://openalex.org/W1546948343"],"abstract_inverted_index":{"We":[0,101],"introduce":[1],"a":[2,11,29,45,66,75,103,109],"new":[3,46],"way":[4],"of":[5,14,33,69,83],"defining":[6],"metric":[7,40,47,98,115],"temporal":[8,48,99,111],"logic":[9,49],"on":[10,20],"real-numbers":[12],"flow":[13],"time.":[15],"The":[16],"idea":[17],"is":[18,51,54],"based":[19],"having":[21],"semantics":[22],"which":[23,50],"allow":[24],"us":[25,44],"to":[26,28,38,56,86,108],"refer":[27],"single":[30],"universal":[31],"clock":[32],"arbitrary":[34],"precision":[35],"in":[36,61],"order":[37],"impose":[39],"constraints.":[41],"This":[42],"gives":[43],"very":[52,62],"expressive,":[53],"natural":[55],"use,":[57],"can":[58],"be":[59],"applied":[60],"general":[63],"situations,":[64],"affords":[65],"wide":[67],"range":[68],"useful":[70],"abbreviations":[71],"and":[72,79],"operators,":[73],"has":[74,80,92],"PSPACE":[76],"decision":[77,104],"procedure,":[78],"the":[81,96],"promise":[82],"being":[84],"amenable":[85],"standard":[87],"reasoning":[88,116],"techniques.":[89],"Thus":[90],"it":[91],"many":[93],"advantages":[94],"over":[95],"existing":[97],"logics.":[100],"provide":[102],"procedure":[105],"via":[106],"conversion":[107],"non-metric":[110],"logic,":[112],"hence":[113],"doing":[114],"with":[117],"no":[118],"clocks.":[119]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
