{"id":"https://openalex.org/W3206992005","doi":"https://doi.org/10.1007/978-3-030-88885-5_24","title":"Property-Directed Verification and\u00a0Robustness Certification of\u00a0Recurrent Neural Networks","display_name":"Property-Directed Verification and\u00a0Robustness Certification of\u00a0Recurrent Neural Networks","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3206992005","doi":"https://doi.org/10.1007/978-3-030-88885-5_24","mag":"3206992005"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-88885-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-88885-5_24","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/A5080485972","display_name":"Igor Khmelnitsky","orcid":"https://orcid.org/0000-0002-5132-5839"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":null,"type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Igor Khmelnitsky","raw_affiliation_strings":["Inria, Paris, France","Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","MEXICO - Modeling and Exploitation of Interaction and Concurrency (ENS Paris-Saclay, 4 avenue des Sciences, 91190, Gif-sur-Yvette - France)"],"affiliations":[{"raw_affiliation_string":"Inria, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]},{"raw_affiliation_string":"MEXICO - Modeling and Exploitation of Interaction and Concurrency (ENS Paris-Saclay, 4 avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064701353","display_name":"Daniel Neider","orcid":"https://orcid.org/0000-0001-9276-6342"},"institutions":[{"id":"https://openalex.org/I4210121786","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210121786"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Neider","raw_affiliation_strings":["Max Planck Institute for Software Systems, Kaiserslautern, Germany","MPI-SWS - Max Planck Institute for Software Systems (D-66111 Saarbr\u00fccken/D-67663 Kaiserslautern  - Germany)"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Software Systems, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4210121786"]},{"raw_affiliation_string":"MPI-SWS - Max Planck Institute for Software Systems (D-66111 Saarbr\u00fccken/D-67663 Kaiserslautern  - Germany)","institution_ids":["https://openalex.org/I4210121786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078181730","display_name":"Rajarshi Roy","orcid":"https://orcid.org/0000-0002-0202-1169"},"institutions":[{"id":"https://openalex.org/I4210121786","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210121786"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rajarshi Roy","raw_affiliation_strings":["Max Planck Institute for Software Systems, Kaiserslautern, Germany","MPI-SWS - Max Planck Institute for Software Systems (D-66111 Saarbr\u00fccken/D-67663 Kaiserslautern  - Germany)"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Software Systems, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4210121786"]},{"raw_affiliation_string":"MPI-SWS - Max Planck Institute for Software Systems (D-66111 Saarbr\u00fccken/D-67663 Kaiserslautern  - Germany)","institution_ids":["https://openalex.org/I4210121786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034067129","display_name":"Xuan Xie","orcid":"https://orcid.org/0000-0003-3981-8515"},"institutions":[{"id":"https://openalex.org/I4210121786","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210121786"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Xuan Xie","raw_affiliation_strings":["Max Planck Institute for Software Systems, Kaiserslautern, Germany","MPI-SWS - Max Planck Institute for Software Systems (D-66111 Saarbr\u00fccken/D-67663 Kaiserslautern  - Germany)"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Software Systems, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4210121786"]},{"raw_affiliation_string":"MPI-SWS - Max Planck Institute for Software Systems (D-66111 Saarbr\u00fccken/D-67663 Kaiserslautern  - Germany)","institution_ids":["https://openalex.org/I4210121786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014473489","display_name":"Beno\u00eet Barbot","orcid":"https://orcid.org/0000-0003-2417-3064"},"institutions":[{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Beno\u00eet Barbot","raw_affiliation_strings":["Universit\u00e9 Paris-Est Cr\u00e9teil, Cr\u00e9teil, France","LACL - Laboratoire d'Algorithmique Complexit\u00e9 et Logique (LACL, Universit\u00e9 Paris-Est Cr\u00e9teil Val-de-Marne, 61 avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil cedex - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est Cr\u00e9teil, Cr\u00e9teil, France","institution_ids":["https://openalex.org/I197681013"]},{"raw_affiliation_string":"LACL - Laboratoire d'Algorithmique Complexit\u00e9 et Logique (LACL, Universit\u00e9 Paris-Est Cr\u00e9teil Val-de-Marne, 61 avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil cedex - France)","institution_ids":["https://openalex.org/I2800365227","https://openalex.org/I197681013"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082538918","display_name":"Benedikt Bollig","orcid":"https://orcid.org/0000-0003-0985-6115"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":null,"type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benedikt Bollig","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051788925","display_name":"Alain Finkel","orcid":"https://orcid.org/0000-0003-0702-3232"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":null,"type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Finkel","raw_affiliation_strings":["Institut Universitaire de France, Paris, France","Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","LSV - Laboratoire Sp\u00e9cification et V\u00e9rification (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)"],"affiliations":[{"raw_affiliation_string":"Institut Universitaire de France, Paris, France","institution_ids":["https://openalex.org/I185839726"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LSV - Laboratoire Sp\u00e9cification et V\u00e9rification (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4210104198"]},{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006881035","display_name":"Serge Haddad","orcid":"https://orcid.org/0000-0002-1759-1201"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":null,"type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]},{"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"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Serge Haddad","raw_affiliation_strings":["Inria, Paris, France","Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","MEXICO - Modeling and Exploitation of Interaction and Concurrency (LSV, ENS Cachan 61 av pr\u00e9sident Wilson 94235 Cachan cedex - France)","MEXICO - Modeling and Exploitation of Interaction and Concurrency (ENS Paris-Saclay, 4 avenue des Sciences, 91190, Gif-sur-Yvette - France)","LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)"],"affiliations":[{"raw_affiliation_string":"Inria, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"MEXICO - Modeling and Exploitation of Interaction and Concurrency (LSV, ENS Cachan 61 av pr\u00e9sident Wilson 94235 Cachan cedex - France)","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"MEXICO - Modeling and Exploitation of Interaction and Concurrency (ENS Paris-Saclay, 4 avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":[]},{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002397514","display_name":"Martin Leucker","orcid":"https://orcid.org/0000-0002-3696-9222"},"institutions":[{"id":"https://openalex.org/I9341345","display_name":"University of L\u00fcbeck","ror":"https://ror.org/00t3r8h32","country_code":"DE","type":"education","lineage":["https://openalex.org/I9341345"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Leucker","raw_affiliation_strings":["Institute for Software Engineering and Programming Languages, Universit\u00e4t zu L\u00fcbeck, L\u00fcbeck, Germany","Universit\u00e4t zu L\u00fcbeck = University of L\u00fcbeck [L\u00fcbeck] (Ratzeburger Allee 160\r\n23562 L\u00fcbeck - Germany)"],"affiliations":[{"raw_affiliation_string":"Institute for Software Engineering and Programming Languages, Universit\u00e4t zu L\u00fcbeck, L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]},{"raw_affiliation_string":"Universit\u00e4t zu L\u00fcbeck = University of L\u00fcbeck [L\u00fcbeck] (Ratzeburger Allee 160\r\n23562 L\u00fcbeck - Germany)","institution_ids":["https://openalex.org/I9341345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055773964","display_name":"Lina Ye","orcid":"https://orcid.org/0000-0002-2217-4752"},"institutions":[{"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"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":null,"type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lina Ye","raw_affiliation_strings":["CentraleSup\u00e9lec, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","Inria, Paris, France","Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","LRI - Laboratoire de Recherche en Informatique (LRI - B\u00e2timents 650-660 Universit\u00e9 Paris-Saclay 91405 Orsay Cedex - France)","MEXICO - Modeling and Exploitation of Interaction and Concurrency (ENS Paris-Saclay, 4 avenue des Sciences, 91190, Gif-sur-Yvette - France)"],"affiliations":[{"raw_affiliation_string":"CentraleSup\u00e9lec, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954"]},{"raw_affiliation_string":"Inria, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, ENS Paris-Saclay, LMF, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]},{"raw_affiliation_string":"LRI - Laboratoire de Recherche en Informatique (LRI - B\u00e2timents 650-660 Universit\u00e9 Paris-Saclay 91405 Orsay Cedex - France)","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"MEXICO - Modeling and Exploitation of Interaction and Concurrency (ENS Paris-Saclay, 4 avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5080485972"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4387154672"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.3021,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.95500129,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"364","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9984999895095825,"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/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.8385801315307617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8161078691482544},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7953192591667175},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.7078837156295776},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6479067802429199},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5238609313964844},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5076247453689575},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5053742527961731},{"id":"https://openalex.org/keywords/certification","display_name":"Certification","score":0.4504200518131256},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.41179585456848145},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.404575914144516},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38859108090400696},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3622189164161682},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.34247320890426636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09933316707611084}],"concepts":[{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.8385801315307617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8161078691482544},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7953192591667175},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.7078837156295776},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6479067802429199},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5238609313964844},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5076247453689575},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5053742527961731},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.4504200518131256},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.41179585456848145},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.404575914144516},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38859108090400696},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3622189164161682},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34247320890426636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09933316707611084},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-88885-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-88885-5_24","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-03285418v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03285418","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"19th International Symposium on Automated Technology for Verification and Analysis (ATVA 2021), Oct 2021, Gold Coast (Online), Australia. pp.364-380, &#x27E8;10.1007/978-3-030-88885-5_24&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5899999737739563,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W613850390","https://openalex.org/W1498432697","https://openalex.org/W1597210183","https://openalex.org/W1989445634","https://openalex.org/W1996002582","https://openalex.org/W2001959333","https://openalex.org/W2040102554","https://openalex.org/W2053987251","https://openalex.org/W2064675550","https://openalex.org/W2157331557","https://openalex.org/W2158395308","https://openalex.org/W2294184790","https://openalex.org/W2888585419","https://openalex.org/W2895859884","https://openalex.org/W2905299363","https://openalex.org/W2963125544","https://openalex.org/W2970180080","https://openalex.org/W2982540258","https://openalex.org/W2997095483","https://openalex.org/W3029692613","https://openalex.org/W3081140620","https://openalex.org/W3096553286","https://openalex.org/W3102139284","https://openalex.org/W3123477784","https://openalex.org/W3128720655","https://openalex.org/W4246893100"],"related_works":["https://openalex.org/W2953113086","https://openalex.org/W1552191998","https://openalex.org/W2056825861","https://openalex.org/W4226455345","https://openalex.org/W2765989158","https://openalex.org/W2952737788","https://openalex.org/W2064772324","https://openalex.org/W2746280673","https://openalex.org/W1594593035","https://openalex.org/W2152996796"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
