{"id":"https://openalex.org/W1794758279","doi":"https://doi.org/10.1007/978-3-319-06200-6_14","title":"Verifying Hybrid Systems Involving Transcendental Functions","display_name":"Verifying Hybrid Systems Involving Transcendental Functions","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1794758279","doi":"https://doi.org/10.1007/978-3-319-06200-6_14","mag":"1794758279"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-06200-6_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06200-6_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://www.research.ed.ac.uk/en/publications/167c4b65-4c02-4756-bd39-5bec10767cfa","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101598519","display_name":"Paul B. Jackson","orcid":"https://orcid.org/0000-0003-3863-8336"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Paul Jackson","raw_affiliation_strings":["School of Informatics, University of Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084578641","display_name":"Andrew Sogokon","orcid":"https://orcid.org/0000-0002-5849-7991"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew Sogokon","raw_affiliation_strings":["School of Informatics, University of Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108373792","display_name":"James Bridge","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James Bridge","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086565312","display_name":"Lawrence C. Paulson","orcid":"https://orcid.org/0000-0003-0288-4279"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lawrence Paulson","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101598519"],"corresponding_institution_ids":["https://openalex.org/I98677209"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3619,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62854821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"188","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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/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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9933000206947327,"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/automated-theorem-proving","display_name":"Automated theorem proving","score":0.7358089089393616},{"id":"https://openalex.org/keywords/transcendental-number","display_name":"Transcendental number","score":0.7241958975791931},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.6736904382705688},{"id":"https://openalex.org/keywords/transcendental-equation","display_name":"Transcendental equation","score":0.6247692108154297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6157902479171753},{"id":"https://openalex.org/keywords/transcendental-function","display_name":"Transcendental function","score":0.6126550436019897},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43298637866973877},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4042857885360718},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4028726816177368},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3617623448371887},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33535465598106384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31133198738098145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19764098525047302},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0679844319820404}],"concepts":[{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.7358089089393616},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.7241958975791931},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6736904382705688},{"id":"https://openalex.org/C139609574","wikidata":"https://www.wikidata.org/wiki/Q2273509","display_name":"Transcendental equation","level":3,"score":0.6247692108154297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6157902479171753},{"id":"https://openalex.org/C43321923","wikidata":"https://www.wikidata.org/wiki/Q864333","display_name":"Transcendental function","level":2,"score":0.6126550436019897},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43298637866973877},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4042857885360718},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4028726816177368},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3617623448371887},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33535465598106384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31133198738098145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19764098525047302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0679844319820404},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-319-06200-6_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06200-6_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.ed.ac.uk:openaire/167c4b65-4c02-4756-bd39-5bec10767cfa","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/167c4b65-4c02-4756-bd39-5bec10767cfa","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Jackson, P, Sogokon, A, Bridge, J & Paulson, L 2014, Verifying Hybrid Systems Involving Transcendental Functions. in J Badger & K Rozier (eds), NASA Formal Methods : 6th International Symposium, NFM 2014, Proceedings. Lecture Notes in Computer Science, vol. 8430, pp. 188-202. https://doi.org/10.1007/978-3-319-06200-6_14","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.645.7586","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.645.7586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://homepages.inf.ed.ac.uk/pbj/papers/nfm14.pdf","raw_type":"text"},{"id":"pmh:oai:pure.ed.ac.uk:publications/167c4b65-4c02-4756-bd39-5bec10767cfa","is_oa":false,"landing_page_url":"http://link.springer.com/chapter/10.1007%2F978-3-319-06200-6_14","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:openaire/167c4b65-4c02-4756-bd39-5bec10767cfa","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/167c4b65-4c02-4756-bd39-5bec10767cfa","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Jackson, P, Sogokon, A, Bridge, J & Paulson, L 2014, Verifying Hybrid Systems Involving Transcendental Functions. in J Badger & K Rozier (eds), NASA Formal Methods : 6th International Symposium, NFM 2014, Proceedings. Lecture Notes in Computer Science, vol. 8430, pp. 188-202. https://doi.org/10.1007/978-3-319-06200-6_14","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1598339071","display_name":null,"funder_award_id":"EP/I011005/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G636258275","display_name":null,"funder_award_id":"EP/I010335/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W979541187","https://openalex.org/W1480909796","https://openalex.org/W1510918931","https://openalex.org/W1516719372","https://openalex.org/W1522448884","https://openalex.org/W1547614230","https://openalex.org/W1556566737","https://openalex.org/W1607353007","https://openalex.org/W1999629321","https://openalex.org/W2006116648","https://openalex.org/W2026612342","https://openalex.org/W2060095702","https://openalex.org/W2075106186","https://openalex.org/W2086163366","https://openalex.org/W2153160343","https://openalex.org/W2176215692","https://openalex.org/W3168224710"],"related_works":["https://openalex.org/W3014029144","https://openalex.org/W4300089223","https://openalex.org/W2041431871","https://openalex.org/W2074397670","https://openalex.org/W4387814077","https://openalex.org/W4378448846","https://openalex.org/W2233678604","https://openalex.org/W3122176387","https://openalex.org/W1500215907","https://openalex.org/W4298092961"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
