{"id":"https://openalex.org/W2019346963","doi":"https://doi.org/10.3166/jancl.16.311-347","title":"Linear-time temporal logics with Presburger constraints: an overview \u2605","display_name":"Linear-time temporal logics with Presburger constraints: an overview \u2605","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2019346963","doi":"https://doi.org/10.3166/jancl.16.311-347","mag":"2019346963"},"language":"en","primary_location":{"id":"doi:10.3166/jancl.16.311-347","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.311-347","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-03189932","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060413318","display_name":"St\u00e9phane Demri","orcid":"https://orcid.org/0000-0002-3493-2610"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"St\u00e9phane Demri","raw_affiliation_strings":["a  LSV, CNRS & INRIA Futurs projet SECSI & ENS Cachan , 61, av. Pdt. Wilson,  94235 , Cachan CEDEX,  France","LSV, CNRS & INRIA Futurs projet SECSI & ENS Cachan , 61, av. Pdt. Wilson, 94235 , Cachan CEDEX, France"],"affiliations":[{"raw_affiliation_string":"a  LSV, CNRS & INRIA Futurs projet SECSI & ENS Cachan , 61, av. Pdt. Wilson,  94235 , Cachan CEDEX,  France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LSV, CNRS & INRIA Futurs projet SECSI & ENS Cachan , 61, av. Pdt. Wilson, 94235 , Cachan CEDEX, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060413318"],"corresponding_institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.014,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.75995887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"3-4","first_page":"311","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9990000128746033,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.9429329037666321},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8071219325065613},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.7835111618041992},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.6969472169876099},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.65816330909729},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.6307293176651001},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.560429573059082},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.513016402721405},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.5085848569869995},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5005733966827393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.277230441570282},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.260855495929718}],"concepts":[{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.9429329037666321},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8071219325065613},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.7835111618041992},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.6969472169876099},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.65816330909729},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.6307293176651001},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.560429573059082},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.513016402721405},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.5085848569869995},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5005733966827393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.277230441570282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.260855495929718},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3166/jancl.16.311-347","is_oa":false,"landing_page_url":"https://doi.org/10.3166/jancl.16.311-347","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:HAL:hal-03189932v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03189932","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Non-Classical Logics, 2006, 16 (3-4), pp.311-347. ⟨10.3166/jancl.16.311-347⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03189932v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03189932","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Non-Classical Logics, 2006, 16 (3-4), pp.311-347. ⟨10.3166/jancl.16.311-347⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":106,"referenced_works":["https://openalex.org/W41804490","https://openalex.org/W107983627","https://openalex.org/W186516023","https://openalex.org/W189948524","https://openalex.org/W198918365","https://openalex.org/W1494939852","https://openalex.org/W1499479569","https://openalex.org/W1502743955","https://openalex.org/W1512785896","https://openalex.org/W1529107813","https://openalex.org/W1532358383","https://openalex.org/W1532667386","https://openalex.org/W1543261728","https://openalex.org/W1544182777","https://openalex.org/W1546653748","https://openalex.org/W1547584984","https://openalex.org/W1548115571","https://openalex.org/W1548346130","https://openalex.org/W1555115347","https://openalex.org/W1556844982","https://openalex.org/W1559035930","https://openalex.org/W1559140144","https://openalex.org/W1572664661","https://openalex.org/W1574273323","https://openalex.org/W1579017347","https://openalex.org/W1579509162","https://openalex.org/W1583582767","https://openalex.org/W1588876385","https://openalex.org/W1589224558","https://openalex.org/W1594660938","https://openalex.org/W1597840949","https://openalex.org/W1600093674","https://openalex.org/W1601793142","https://openalex.org/W1602384540","https://openalex.org/W1608856655","https://openalex.org/W1619948012","https://openalex.org/W1678486145","https://openalex.org/W1777025722","https://openalex.org/W1830637649","https://openalex.org/W1834360724","https://openalex.org/W1855380557","https://openalex.org/W1855477342","https://openalex.org/W1860690667","https://openalex.org/W1905205673","https://openalex.org/W1912165540","https://openalex.org/W1964874178","https://openalex.org/W1971160134","https://openalex.org/W1978002064","https://openalex.org/W1982302236","https://openalex.org/W1987814265","https://openalex.org/W1988919560","https://openalex.org/W1990609140","https://openalex.org/W1991504773","https://openalex.org/W1999194742","https://openalex.org/W2003227046","https://openalex.org/W2008958263","https://openalex.org/W2012140001","https://openalex.org/W2019145653","https://openalex.org/W2021704447","https://openalex.org/W2023808162","https://openalex.org/W2023999667","https://openalex.org/W2024016985","https://openalex.org/W2030263557","https://openalex.org/W2030985429","https://openalex.org/W2036472753","https://openalex.org/W2043570370","https://openalex.org/W2043636189","https://openalex.org/W2049069994","https://openalex.org/W2049696538","https://openalex.org/W2054589415","https://openalex.org/W2070329554","https://openalex.org/W2086035610","https://openalex.org/W2088846354","https://openalex.org/W2094195776","https://openalex.org/W2098171268","https://openalex.org/W2101508170","https://openalex.org/W2102447986","https://openalex.org/W2105455573","https://openalex.org/W2106971968","https://openalex.org/W2110302191","https://openalex.org/W2111695282","https://openalex.org/W2111714843","https://openalex.org/W2116509046","https://openalex.org/W2116812482","https://openalex.org/W2126897271","https://openalex.org/W2128635895","https://openalex.org/W2138500680","https://openalex.org/W2146250272","https://openalex.org/W2152132130","https://openalex.org/W2155756511","https://openalex.org/W2163483558","https://openalex.org/W2166588729","https://openalex.org/W2167907675","https://openalex.org/W2250074872","https://openalex.org/W2525786140","https://openalex.org/W2551720480","https://openalex.org/W2569375046","https://openalex.org/W2580087134","https://openalex.org/W2806619258","https://openalex.org/W2911841147","https://openalex.org/W3005728772","https://openalex.org/W3022006420","https://openalex.org/W4206441762","https://openalex.org/W4229924305","https://openalex.org/W4247534169","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2124110813","https://openalex.org/W3021103820","https://openalex.org/W2046615742","https://openalex.org/W2763487042","https://openalex.org/W2031188261","https://openalex.org/W4232446061","https://openalex.org/W4285022830","https://openalex.org/W2020883449","https://openalex.org/W3035590440","https://openalex.org/W3205267199"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"overview":[3],"of":[4,15,17,43,59],"linear-time":[5],"temporal":[6],"logics":[7],"with":[8,34],"Presburger":[9,60],"constraints":[10],"whose":[11],"models":[12],"are":[13,23,64],"sequences":[14],"tuples":[16],"integers.":[18],"Such":[19],"formal":[20],"specification":[21],"languages":[22],"well-designed":[24],"to":[25,57],"specify":[26],"and":[27,48,53],"verify":[28],"systems":[29],"that":[30],"can":[31],"be":[32],"modelled":[33],"counter":[35],"systems.":[36],"The":[37],"paper":[38],"recalls":[39],"the":[40,50],"general":[41],"framework":[42],"LTL":[44],"over":[45],"concrete":[46],"domains":[47],"presents":[49],"main":[51],"decidability":[52],"complexity":[54],"results":[55],"related":[56],"fragments":[58],"LTL.":[61],"Related":[62],"formalisms":[63],"also":[65],"briefly":[66],"presented.":[67]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}