{"id":"https://openalex.org/W3026454262","doi":"https://doi.org/10.1007/s10703-020-00355-z","title":"Pegasus: sound continuous invariant generation","display_name":"Pegasus: sound continuous invariant generation","publication_year":2021,"publication_date":"2021-01-20","ids":{"openalex":"https://openalex.org/W3026454262","doi":"https://doi.org/10.1007/s10703-020-00355-z","mag":"3026454262"},"language":"en","primary_location":{"id":"doi:10.1007/s10703-020-00355-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10703-020-00355-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10703-020-00355-z.pdf","source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10703-020-00355-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Andrew Sogokon","orcid":"https://orcid.org/0000-0002-5849-7991"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Sogokon","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Stefan Mitsch","orcid":"https://orcid.org/0000-0002-3194-9759"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stefan Mitsch","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yong Kiam Tan","orcid":"https://orcid.org/0000-0001-7033-2463"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yong Kiam Tan","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Katherine Cordwell","orcid":"https://orcid.org/0000-0002-9336-6006"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Katherine Cordwell","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":null,"display_name":"Andr\u00e9 Platzer","orcid":"https://orcid.org/0000-0001-7238-5710"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Platzer","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":2690,"currency":"EUR","value_usd":3490},"apc_paid":{"value":2690,"currency":"EUR","value_usd":3490},"fwci":1.3627,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83057693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"1-2","first_page":"5","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9696000218391418,"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":0.9696000218391418,"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":0.007400000002235174,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.006300000008195639,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7196999788284302},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.5694000124931335},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5543000102043152},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5455999970436096},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5450000166893005},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5221999883651733},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5026000142097473},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.4544999897480011}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7196999788284302},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.5694000124931335},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5543000102043152},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5455999970436096},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5450000166893005},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5221999883651733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5062000155448914},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5026000142097473},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47769999504089355},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.4544999897480011},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.41690000891685486},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4020000100135803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38589999079704285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.382999986410141},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.314300000667572},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C2780615836","wikidata":"https://www.wikidata.org/wiki/Q2471869","display_name":"USable","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2669999897480011}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10703-020-00355-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10703-020-00355-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10703-020-00355-z.pdf","source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.09348","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.09348","pdf_url":"https://arxiv.org/pdf/2005.09348","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s10703-020-00355-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10703-020-00355-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10703-020-00355-z.pdf","source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1958889325","display_name":null,"funder_award_id":"DGE125252","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2180245026","display_name":null,"funder_award_id":"1252522","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G230078430","display_name":null,"funder_award_id":"FA9550-16","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G2584449986","display_name":"Graduate Research Fellowship Program (GRFP)","funder_award_id":"1745016","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3215946901","display_name":null,"funder_award_id":"DGE1745016","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3307378536","display_name":null,"funder_award_id":"Fellow","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G3392305090","display_name":null,"funder_award_id":"-16-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3423355903","display_name":null,"funder_award_id":"FA8750-18-C-0092","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G3616359867","display_name":null,"funder_award_id":"FA9550-16-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4215626907","display_name":null,"funder_award_id":"FA8750-18-C-009","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G4713059963","display_name":null,"funder_award_id":"FA8750","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G4895191527","display_name":null,"funder_award_id":"FA8750-18-C-0092","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G5110814867","display_name":null,"funder_award_id":"DGE1252522","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7090116110","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G7098913029","display_name":null,"funder_award_id":"FA9550-16-1-0288","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7554390833","display_name":null,"funder_award_id":"No. FA8750-18-C-0092","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G8313901925","display_name":"CPS: Small: Sound Invariant Generation for Continuous and Hybrid Systems","funder_award_id":"1739629","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8521281903","display_name":null,"funder_award_id":"AFOSR","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G8958721119","display_name":null,"funder_award_id":"DGE174501","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320332467","display_name":"U.S. Air Force","ror":"https://ror.org/006gmme17"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3026454262.pdf","grobid_xml":"https://content.openalex.org/works/W3026454262.grobid-xml"},"referenced_works_count":87,"referenced_works":["https://openalex.org/W68238214","https://openalex.org/W351069376","https://openalex.org/W374079423","https://openalex.org/W575850752","https://openalex.org/W625018872","https://openalex.org/W856973001","https://openalex.org/W946807928","https://openalex.org/W1496537269","https://openalex.org/W1497846389","https://openalex.org/W1506426323","https://openalex.org/W1523211942","https://openalex.org/W1535116423","https://openalex.org/W1552715853","https://openalex.org/W1552875110","https://openalex.org/W1558296274","https://openalex.org/W1565786776","https://openalex.org/W1568518466","https://openalex.org/W1569146343","https://openalex.org/W1590463358","https://openalex.org/W1607000426","https://openalex.org/W1607353007","https://openalex.org/W1627251346","https://openalex.org/W1839426292","https://openalex.org/W1865218796","https://openalex.org/W1869606479","https://openalex.org/W1968813561","https://openalex.org/W1977444293","https://openalex.org/W1979646426","https://openalex.org/W1986385081","https://openalex.org/W1988750285","https://openalex.org/W1994475353","https://openalex.org/W1995434986","https://openalex.org/W2011199136","https://openalex.org/W2014749888","https://openalex.org/W2017561148","https://openalex.org/W2019076112","https://openalex.org/W2027683124","https://openalex.org/W2029750936","https://openalex.org/W2033156521","https://openalex.org/W2035289314","https://openalex.org/W2038366595","https://openalex.org/W2047769863","https://openalex.org/W2054833780","https://openalex.org/W2060369194","https://openalex.org/W2072964326","https://openalex.org/W2074539848","https://openalex.org/W2075133940","https://openalex.org/W2080884201","https://openalex.org/W2087749124","https://openalex.org/W2106606898","https://openalex.org/W2117218135","https://openalex.org/W2125967324","https://openalex.org/W2127240436","https://openalex.org/W2129729773","https://openalex.org/W2131395649","https://openalex.org/W2176215692","https://openalex.org/W2182451272","https://openalex.org/W2217989345","https://openalex.org/W2295906355","https://openalex.org/W2296642625","https://openalex.org/W2407773024","https://openalex.org/W2555983297","https://openalex.org/W2594023913","https://openalex.org/W2602429862","https://openalex.org/W2607212181","https://openalex.org/W2739936107","https://openalex.org/W2747477340","https://openalex.org/W2748391565","https://openalex.org/W2761297771","https://openalex.org/W2766658289","https://openalex.org/W2798378744","https://openalex.org/W2809309384","https://openalex.org/W2948003455","https://openalex.org/W2969536896","https://openalex.org/W2974059972","https://openalex.org/W2990296706","https://openalex.org/W3038029671","https://openalex.org/W3186624155","https://openalex.org/W4229672964","https://openalex.org/W4229917934","https://openalex.org/W4234682643","https://openalex.org/W4237629093","https://openalex.org/W4240837394","https://openalex.org/W4245586707","https://openalex.org/W4295124794","https://openalex.org/W4299530838","https://openalex.org/W6959438159"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Continuous":[1],"invariants":[2,18,35,52],"are":[3,19,36,72],"an":[4,112,154],"important":[5],"component":[6],"in":[7,25],"deductive":[8],"verification":[9],"of":[10,50,55,63,66,86,92,105,121,139,143,160],"hybrid":[11,69,134],"and":[12,100,124,150,152],"continuous":[13,34,51,81,114],"systems.":[14,70,135],"Just":[15],"like":[16],"discrete":[17,26],"used":[20,37],"to":[21,30,38,45,60],"reason":[22,39],"about":[23,40],"correctness":[24],"systems":[27],"without":[28,43],"having":[29,44,97],"unroll":[31],"their":[32],"loops,":[33],"differential":[41],"equations":[42],"solve":[46],"them.":[47],"Automatic":[48],"generation":[49],"remains":[53],"one":[54],"the":[56,61,128,140],"biggest":[57],"practical":[58],"challenges":[59],"automation":[62],"formal":[64],"proofs":[65],"safety":[67],"for":[68,79,119,133],"There":[71],"at":[73],"present":[74,153],"many":[75],"disparate":[76],"methods":[77,96,149],"available":[78],"generating":[80],"invariants;":[82],"however,":[83],"this":[84,144],"wealth":[85],"diverse":[87],"techniques":[88],"presents":[89],"a":[90,158],"number":[91],"challenges,":[93,107,151],"with":[94,127],"different":[95,98],"strengths":[99],"weaknesses.":[101],"To":[102],"address":[103],"some":[104,138],"these":[106],"we":[108],"develop":[109],"Pegasus":[110],":":[111],"automatic":[113],"invariant":[115],"generator":[116],"which":[117],"allows":[118],"combinations":[120],"various":[122],"methods,":[123],"integrate":[125],"it":[126],"KeYmaera":[129],"X":[130],"theorem":[131],"prover":[132],"We":[136],"describe":[137],"architectural":[141],"aspects":[142],"integration,":[145],"comment":[146],"on":[147,157],"its":[148],"experimental":[155],"evaluation":[156],"suite":[159],"benchmarks.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2020-05-29T00:00:00"}
