{"id":"https://openalex.org/W2529242558","doi":"https://doi.org/10.1007/978-3-319-47677-3_14","title":"A Complete Approximation Theory for Weighted Transition Systems","display_name":"A Complete Approximation Theory for Weighted Transition Systems","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2529242558","doi":"https://doi.org/10.1007/978-3-319-47677-3_14","mag":"2529242558"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-47677-3_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-47677-3_14","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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/c11acf2b-f3a3-4f34-b042-d3638e48583b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053346979","display_name":"Mikkel Hansen","orcid":"https://orcid.org/0000-0002-3439-9860"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Mikkel Hansen","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069362159","display_name":"Kim G. Larsen","orcid":"https://orcid.org/0000-0002-5953-3384"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Kim Guldstrand Larsen","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060646027","display_name":"Radu Mardare","orcid":"https://orcid.org/0000-0001-8660-1832"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Radu Mardare","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041314517","display_name":"Mathias Ruggaard Pedersen","orcid":"https://orcid.org/0000-0002-7470-4962"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Mathias Ruggaard Pedersen","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109340611","display_name":"Bingtian Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Bingtian Xue","raw_affiliation_strings":["Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalborg University, Selma Largerl\u00f6fsvej 300, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5053346979"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.4955,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.89559165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"213","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9973000288009644,"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":0.996999979019165,"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/bisimulation","display_name":"Bisimulation","score":0.8870751857757568},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8324552178382874},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7231737375259399},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6103293895721436},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5467381477355957},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.5050631165504456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4960545003414154},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.457893431186676},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44848594069480896},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41362008452415466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.411146879196167},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39165133237838745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38883331418037415},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.37675774097442627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16310527920722961}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.8870751857757568},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8324552178382874},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7231737375259399},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6103293895721436},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5467381477355957},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.5050631165504456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4960545003414154},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.457893431186676},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44848594069480896},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41362008452415466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.411146879196167},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39165133237838745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38883331418037415},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.37675774097442627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16310527920722961},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-47677-3_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-47677-3_14","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"},{"id":"pmh:oai:pure.atira.dk:openaire/c11acf2b-f3a3-4f34-b042-d3638e48583b","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c11acf2b-f3a3-4f34-b042-d3638e48583b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hansen, M, Larsen, K G, Mardare, R I, Pedersen, M R & Xue, B 2016, A Complete Approximation Theory for Weighted Transition Systems. in M Fr\u00e4nzle, D Kapur & N Zhan (eds), Dependable Software Engineering: Theories, Tools, and Applications : Second International Symposium, SETTA 2016, Beijing, China, November 9-11, 2016, Proceedings. Springer, Lecture Notes in Computer Science, vol. 9984, pp. 213-228, 2nd International Symposium on Dependable Software Engineering: Theories, Tools and Applications, SETTA 2016, Beijing, China, 09/11/2016. https://doi.org/10.1007/978-3-319-47677-3_14","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:strathprints.strath.ac.uk:70266","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/1263245.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/c11acf2b-f3a3-4f34-b042-d3638e48583b","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c11acf2b-f3a3-4f34-b042-d3638e48583b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hansen, M, Larsen, K G, Mardare, R I, Pedersen, M R & Xue, B 2016, A Complete Approximation Theory for Weighted Transition Systems. in M Fr\u00e4nzle, D Kapur & N Zhan (eds), Dependable Software Engineering: Theories, Tools, and Applications : Second International Symposium, SETTA 2016, Beijing, China, November 9-11, 2016, Proceedings. Springer, Lecture Notes in Computer Science, vol. 9984, pp. 213-228, 2nd International Symposium on Dependable Software Engineering: Theories, Tools and Applications, SETTA 2016, Beijing, China, 09/11/2016. https://doi.org/10.1007/978-3-319-47677-3_14","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W18942403","https://openalex.org/W1238731958","https://openalex.org/W1499856730","https://openalex.org/W1925886662","https://openalex.org/W1969920051","https://openalex.org/W1976268573","https://openalex.org/W1976991254","https://openalex.org/W1978469611","https://openalex.org/W1981808971","https://openalex.org/W1987070417","https://openalex.org/W1992392068","https://openalex.org/W1995714798","https://openalex.org/W2015632512","https://openalex.org/W2018378628","https://openalex.org/W2025347290","https://openalex.org/W2062285040","https://openalex.org/W2091607538","https://openalex.org/W2107171883","https://openalex.org/W2114187021","https://openalex.org/W2125500714","https://openalex.org/W2286187798","https://openalex.org/W2465857341","https://openalex.org/W2531137472","https://openalex.org/W3106319419"],"related_works":["https://openalex.org/W2107608134","https://openalex.org/W2136485937","https://openalex.org/W1598641851","https://openalex.org/W1965551437","https://openalex.org/W1514211561","https://openalex.org/W1550244413","https://openalex.org/W2294297515","https://openalex.org/W2125768798","https://openalex.org/W2399470155","https://openalex.org/W1601172863"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}