{"id":"https://openalex.org/W1249281350","doi":"https://doi.org/10.1007/978-3-319-04915-1_6","title":"Present-Future Form of Linear Time $$\\mu $$-Calculus","display_name":"Present-Future Form of Linear Time $$\\mu $$-Calculus","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1249281350","doi":"https://doi.org/10.1007/978-3-319-04915-1_6","mag":"1249281350"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-04915-1_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-04915-1_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5101413778","display_name":"Yao Liu","orcid":"https://orcid.org/0000-0003-3237-0981"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Liu","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an, 710071, China","ICTT and ISN Lab, Xidian University, Xi'an, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071051896","display_name":"Zhenhua Duan","orcid":"https://orcid.org/0000-0002-3119-3242"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhua Duan","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an, 710071, China","Technology, Xidian University, Xi\u2019an, China","ICTT and ISN Lab, Xidian University, Xi'an, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Technology, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003990194","display_name":"Cong Tian","orcid":"https://orcid.org/0000-0002-5429-4580"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cong Tian","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an, 710071, China","ICTT and ISN Lab, Xidian University, Xi'an, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114377956","display_name":"Bo Liu","orcid":"https://orcid.org/0000-0003-1685-7968"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bo Liu","raw_affiliation_strings":["Beijing Institute of Control Engineering, Beijing, 100000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Control Engineering, Beijing, 100000, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"76","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9976999759674072,"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":0.9976999759674072,"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":0.9962000250816345,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.6702519655227661},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5890336632728577},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5363935232162476},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5285077691078186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4875015914440155},{"id":"https://openalex.org/keywords/conjunction","display_name":"Conjunction (astronomy)","score":0.48567402362823486},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.4653953015804291},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4030119478702545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31400924921035767},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.312066912651062},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22661766409873962},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12791794538497925},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1006413996219635}],"concepts":[{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.6702519655227661},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5890336632728577},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5363935232162476},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5285077691078186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4875015914440155},{"id":"https://openalex.org/C59656382","wikidata":"https://www.wikidata.org/wiki/Q191536","display_name":"Conjunction (astronomy)","level":2,"score":0.48567402362823486},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.4653953015804291},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4030119478702545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31400924921035767},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.312066912651062},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22661766409873962},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12791794538497925},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1006413996219635},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-04915-1_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-04915-1_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1483150777","https://openalex.org/W1486939289","https://openalex.org/W1503627878","https://openalex.org/W1525390211","https://openalex.org/W1565281977","https://openalex.org/W1988808695","https://openalex.org/W1992582873","https://openalex.org/W2003773532","https://openalex.org/W2015640848","https://openalex.org/W2017759899","https://openalex.org/W2021917262","https://openalex.org/W2083398633","https://openalex.org/W2112299772","https://openalex.org/W2146715343","https://openalex.org/W2148845055","https://openalex.org/W2153364044","https://openalex.org/W2155756511","https://openalex.org/W2169083900","https://openalex.org/W2176705267","https://openalex.org/W2260769207","https://openalex.org/W2806619258"],"related_works":["https://openalex.org/W1573992054","https://openalex.org/W1599690842","https://openalex.org/W2753053412","https://openalex.org/W2665157442","https://openalex.org/W3108840034","https://openalex.org/W4388169484","https://openalex.org/W2363259562","https://openalex.org/W3036937347","https://openalex.org/W3149224203","https://openalex.org/W2128553432"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
