{"id":"https://openalex.org/W2074357615","doi":"https://doi.org/10.1016/s1571-0661(04)80887-9","title":"Representation of a Discretely Controlled Continuous System in Tense Arithmetic","display_name":"Representation of a Discretely Controlled Continuous System in Tense Arithmetic","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2074357615","doi":"https://doi.org/10.1016/s1571-0661(04)80887-9","mag":"2074357615"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80887-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80887-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80887-9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101512159","display_name":"Tetsuya Mizutani","orcid":"https://orcid.org/0000-0002-8313-5925"},"institutions":[{"id":"https://openalex.org/I4210147455","display_name":"Institute of Information Science","ror":"https://ror.org/055q8rh54","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210147455"]},{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP","SI"],"is_corresponding":true,"raw_author_name":"Tetsuya Mizutani","raw_affiliation_strings":["Institute of Information Science, University of Tsukuba, 1-1-1, Tennodai, Tsukuba 3050006, JAPAN"],"affiliations":[{"raw_affiliation_string":"Institute of Information Science, University of Tsukuba, 1-1-1, Tennodai, Tsukuba 3050006, JAPAN","institution_ids":["https://openalex.org/I146399215","https://openalex.org/I4210147455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113823168","display_name":"Shigeru Igarashi","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]},{"id":"https://openalex.org/I4210147455","display_name":"Institute of Information Science","ror":"https://ror.org/055q8rh54","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210147455"]}],"countries":["JP","SI"],"is_corresponding":false,"raw_author_name":"Shigeru Igarashi","raw_affiliation_strings":["Institute of Information Science, University of Tsukuba, 1-1-1, Tennodai, Tsukuba 3050006, JAPAN"],"affiliations":[{"raw_affiliation_string":"Institute of Information Science, University of Tsukuba, 1-1-1, Tennodai, Tsukuba 3050006, JAPAN","institution_ids":["https://openalex.org/I146399215","https://openalex.org/I4210147455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069791192","display_name":"Masayuki Shio","orcid":null},"institutions":[{"id":"https://openalex.org/I28631974","display_name":"Tokiwa University","ror":"https://ror.org/0051kz410","country_code":"JP","type":"education","lineage":["https://openalex.org/I28631974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masayuki Shio","raw_affiliation_strings":["College of Community Development, Tokiwa University, 1-430-1, Miwa, Mito 3108585, JAPAN"],"affiliations":[{"raw_affiliation_string":"College of Community Development, Tokiwa University, 1-430-1, Miwa, Mito 3108585, JAPAN","institution_ids":["https://openalex.org/I28631974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101512159"],"corresponding_institution_ids":["https://openalex.org/I146399215","https://openalex.org/I4210147455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.18314615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":null,"first_page":"220","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":1.0,"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":1.0,"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":0.9988999962806702,"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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9984999895095825,"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/formalism","display_name":"Formalism (music)","score":0.7684141397476196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5570856332778931},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4499628245830536},{"id":"https://openalex.org/keywords/formal-system","display_name":"Formal system","score":0.4347139298915863},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.424888014793396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4070875644683838},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.39415836334228516},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3745473623275757},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37167590856552124},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19641059637069702},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1574852466583252}],"concepts":[{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.7684141397476196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5570856332778931},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4499628245830536},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.4347139298915863},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.424888014793396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4070875644683838},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.39415836334228516},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3745473623275757},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37167590856552124},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19641059637069702},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1574852466583252},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(04)80887-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80887-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80887-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80887-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5340474178","display_name":null,"funder_award_id":"09680322","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G7390946670","display_name":null,"funder_award_id":"10680332","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W205978083","https://openalex.org/W389092949","https://openalex.org/W1486181371","https://openalex.org/W1510603033","https://openalex.org/W1540438325","https://openalex.org/W1570946383","https://openalex.org/W1572370637","https://openalex.org/W1601026301","https://openalex.org/W2057842062","https://openalex.org/W2083964867","https://openalex.org/W2107725559","https://openalex.org/W2115821519","https://openalex.org/W2166089338","https://openalex.org/W2261547225","https://openalex.org/W3144368627","https://openalex.org/W4210886820","https://openalex.org/W4254601874","https://openalex.org/W6630443756","https://openalex.org/W6632363925","https://openalex.org/W6671178845","https://openalex.org/W6676995014","https://openalex.org/W6684244709"],"related_works":["https://openalex.org/W2062195135","https://openalex.org/W2952002389","https://openalex.org/W2231510842","https://openalex.org/W2795079307","https://openalex.org/W2577553587","https://openalex.org/W2053314506","https://openalex.org/W2166647448","https://openalex.org/W2793058541","https://openalex.org/W3106363734","https://openalex.org/W1967979976"],"abstract_inverted_index":{"Specifications":[0],"for":[1,25,79],"a":[2,19],"vehicle":[3],"control":[4,104],"system,":[5],"as":[6],"an":[7,68],"example":[8],"of":[9,46,59,63],"discretely":[10,105],"controlled":[11],"continuous":[12,90],"systems,":[13],"are":[14,37,44,51],"represented":[15],"and":[16,49,71,95,100],"verified":[17],"in":[18],"formal":[20],"system":[21],"called":[22],"tense":[23],"arithmetic":[24],"concurrent":[26],"programs":[27,102],"with":[28,92],"rational":[29,76],"number":[30],"time.":[31],"In":[32],"this":[33],"formalism,":[34],"computational":[35],"sequences":[36],"characterized,":[38],"or":[39,109],"indexed,":[40],"by":[41],"spurs":[42],"that":[43,50,103],"generalizations":[45],"program":[47],"schedulers":[48],"also":[52],"temporal":[53],"propositions.":[54],"Our":[55],"formalism":[56],"describes":[57],"analysis":[58],"the":[60,64,74,81,89],"wake-up":[61],"time":[62,77],"next":[65,82],"action":[66,83],"from":[67],"observation":[69],"time,":[70],"we":[72,87],"obtain":[73],"actual":[75],"value":[78],"when":[80],"will":[84],"occur.":[85],"Additionally,":[86],"introduce":[88],"variables":[91],"their":[93],"first-":[94],"second-order":[96],"derivatives,":[97],"to":[98],"analyze":[99],"verify":[101],"certain":[106],"continuously":[107],"physical":[108],"other":[110],"external":[111],"systems.":[112]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}