{"id":"https://openalex.org/W4415549781","doi":"https://doi.org/10.1007/978-3-032-08707-2_17","title":"Deriving Liveness Properties of\u00a0Hybrid Systems from\u00a0Reachable Sets and\u00a0Lyapunov-Like Certificates","display_name":"Deriving Liveness Properties of\u00a0Hybrid Systems from\u00a0Reachable Sets and\u00a0Lyapunov-Like Certificates","publication_year":2025,"publication_date":"2025-10-25","ids":{"openalex":"https://openalex.org/W4415549781","doi":"https://doi.org/10.1007/978-3-032-08707-2_17"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-08707-2_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-08707-2_17","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026487517","display_name":"Ludovico Battista","orcid":"https://orcid.org/0000-0001-8197-2001"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ludovico Battista","raw_affiliation_strings":["Fondazione Bruno Kessler, 38123, Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Fondazione Bruno Kessler, 38123, Trento, Italy","institution_ids":["https://openalex.org/I2277624104"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018618502","display_name":"Stefano Tonetta","orcid":"https://orcid.org/0000-0001-9091-7899"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Tonetta","raw_affiliation_strings":["Fondazione Bruno Kessler, 38123, Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Fondazione Bruno Kessler, 38123, Trento, Italy","institution_ids":["https://openalex.org/I2277624104"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026487517"],"corresponding_institution_ids":["https://openalex.org/I2277624104"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.0205,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.96664542,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"363","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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":0.9998000264167786,"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/T11125","display_name":"Petri Nets in System Modeling","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/T10933","display_name":"Real-Time Systems Scheduling","score":0.9980999827384949,"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/reachability","display_name":"Reachability","score":0.9412999749183655},{"id":"https://openalex.org/keywords/liveness","display_name":"Liveness","score":0.9136999845504761},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.748199999332428},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.6036999821662903},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5916000008583069},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.5074999928474426},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.47780001163482666},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4625999927520752},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.45179998874664307},{"id":"https://openalex.org/keywords/hybrid-automaton","display_name":"Hybrid automaton","score":0.40380001068115234}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9412999749183655},{"id":"https://openalex.org/C15569618","wikidata":"https://www.wikidata.org/wiki/Q3561421","display_name":"Liveness","level":2,"score":0.9136999845504761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8184999823570251},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.748199999332428},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.6036999821662903},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5916000008583069},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5080999732017517},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.5074999928474426},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.47780001163482666},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4625999927520752},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.45179998874664307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40860000252723694},{"id":"https://openalex.org/C2776028153","wikidata":"https://www.wikidata.org/wiki/Q5953179","display_name":"Hybrid automaton","level":3,"score":0.40380001068115234},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.3727000057697296},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.3580999970436096},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.30720001459121704},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29170000553131104},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.2847999930381775},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.25920000672340393},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-08707-2_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-08707-2_17","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W185629625","https://openalex.org/W213996327","https://openalex.org/W233122475","https://openalex.org/W1480909796","https://openalex.org/W1521939022","https://openalex.org/W1544022704","https://openalex.org/W1590463358","https://openalex.org/W1594976552","https://openalex.org/W1793594870","https://openalex.org/W2004463571","https://openalex.org/W2020588182","https://openalex.org/W2023808162","https://openalex.org/W2026019548","https://openalex.org/W2093227835","https://openalex.org/W2104958104","https://openalex.org/W2117218135","https://openalex.org/W2126626789","https://openalex.org/W2144329495","https://openalex.org/W2147340401","https://openalex.org/W2193412548","https://openalex.org/W2345020933","https://openalex.org/W2889277448","https://openalex.org/W2889303219","https://openalex.org/W2919694184","https://openalex.org/W3004765214","https://openalex.org/W3016425199","https://openalex.org/W3021850381","https://openalex.org/W3107034996","https://openalex.org/W4210577781","https://openalex.org/W4225922019","https://openalex.org/W4234144186","https://openalex.org/W4245794166","https://openalex.org/W4382787416","https://openalex.org/W4385864287","https://openalex.org/W4401810216","https://openalex.org/W4403289406","https://openalex.org/W4404287420"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-26T00:00:00"}
