{"id":"https://openalex.org/W2745776412","doi":"https://doi.org/10.1007/978-3-319-66107-0_10","title":"A Formal Proof in Coq of LaSalle\u2019s Invariance Principle","display_name":"A Formal Proof in Coq of LaSalle\u2019s Invariance Principle","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2745776412","doi":"https://doi.org/10.1007/978-3-319-66107-0_10","mag":"2745776412"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-66107-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66107-0_10","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://inria.hal.science/hal-01612293","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107271231","display_name":"Cyril Cohen","orcid":"https://orcid.org/0000-0003-3540-1050"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Cyril Cohen","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, Inria, Sophia Antipolis, France","Universit\u00e9 C\u00f4te d'Azur, Inria, Sophia Antipolis, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, Inria, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036831263","display_name":"Damien Rouhling","orcid":"https://orcid.org/0009-0007-9279-4766"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damien Rouhling","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, Inria, Sophia Antipolis, France","Universit\u00e9 C\u00f4te d'Azur, Inria, Sophia Antipolis, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, Inria, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, Inria, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107271231"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8477,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.7657106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"148","last_page":"163"},"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":0.9987999796867371,"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/T11424","display_name":"Security and Verification in Computing","score":0.9945999979972839,"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/invariance-principle","display_name":"Invariance principle","score":0.8037126660346985},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.518427848815918},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.49876904487609863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4828351140022278},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4694497287273407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4587228298187256},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44952642917633057},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.43880799412727356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42004215717315674},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38914498686790466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2316007912158966},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.14007309079170227},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.11368349194526672}],"concepts":[{"id":"https://openalex.org/C156387681","wikidata":"https://www.wikidata.org/wiki/Q6059484","display_name":"Invariance principle","level":2,"score":0.8037126660346985},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.518427848815918},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.49876904487609863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4828351140022278},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4694497287273407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4587228298187256},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44952642917633057},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.43880799412727356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42004215717315674},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38914498686790466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2316007912158966},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.14007309079170227},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.11368349194526672},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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:10.1007/978-3-319-66107-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66107-0_10","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:HAL:hal-01612293v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01612293","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":"Interactive Theorem Proving, Sep 2017, Brasilia, Brazil. &#x27E8;10.1007/978-3-319-66107-0_10&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01612293v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01612293","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":"Interactive Theorem Proving, Sep 2017, Brasilia, Brazil. &#x27E8;10.1007/978-3-319-66107-0_10&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W121484200","https://openalex.org/W1502256709","https://openalex.org/W1768814311","https://openalex.org/W1975722775","https://openalex.org/W1975906542","https://openalex.org/W1978081288","https://openalex.org/W1992162473","https://openalex.org/W1998235755","https://openalex.org/W2027960264","https://openalex.org/W2070100112","https://openalex.org/W2099252149","https://openalex.org/W2128047640","https://openalex.org/W2174838357","https://openalex.org/W2277766137","https://openalex.org/W2329719292","https://openalex.org/W2529171880","https://openalex.org/W2943841782","https://openalex.org/W3102385017","https://openalex.org/W4392446588"],"related_works":["https://openalex.org/W2080247273","https://openalex.org/W2143156927","https://openalex.org/W2009266145","https://openalex.org/W3150847492","https://openalex.org/W2130341340","https://openalex.org/W1966972928","https://openalex.org/W2122786638","https://openalex.org/W2019725099","https://openalex.org/W2924160392","https://openalex.org/W2566394519"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
