{"id":"https://openalex.org/W4386746568","doi":"https://doi.org/10.1007/978-3-031-43369-6_3","title":"Formal Verification of\u00a0Bit-Vector Invertibility Conditions in\u00a0Coq","display_name":"Formal Verification of\u00a0Bit-Vector Invertibility Conditions in\u00a0Coq","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386746568","doi":"https://doi.org/10.1007/978-3-031-43369-6_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-43369-6_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-43369-6_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43369-6_3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43369-6_3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017884012","display_name":"Burak Ekici","orcid":"https://orcid.org/0000-0002-6602-7906"},"institutions":[{"id":"https://openalex.org/I79946792","display_name":"Mu\u011fla University","ror":"https://ror.org/05n2cz176","country_code":"TR","type":"education","lineage":["https://openalex.org/I79946792"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Burak Ekici","raw_affiliation_strings":["Mu\u011fla S\u0131tk\u0131 Ko\u00e7man University, Mu\u011fla, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-6602-7906","affiliations":[{"raw_affiliation_string":"Mu\u011fla S\u0131tk\u0131 Ko\u00e7man University, Mu\u011fla, Turkey","institution_ids":["https://openalex.org/I79946792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080974343","display_name":"Arjun Viswanathan","orcid":"https://orcid.org/0009-0005-4464-8807"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arjun Viswanathan","raw_affiliation_strings":["The University of Iowa, Iowa City, USA"],"raw_orcid":"https://orcid.org/0009-0005-4464-8807","affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052302712","display_name":"Yoni Zohar","orcid":"https://orcid.org/0000-0002-2972-6695"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Yoni Zohar","raw_affiliation_strings":["Bar-Ilan University, Ramat Gan, Israel"],"raw_orcid":"https://orcid.org/0000-0002-2972-6695","affiliations":[{"raw_affiliation_string":"Bar-Ilan University, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046830049","display_name":"Cesare Tinelli","orcid":"https://orcid.org/0000-0002-6726-775X"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cesare Tinelli","raw_affiliation_strings":["The University of Iowa, Iowa City, USA"],"raw_orcid":"https://orcid.org/0000-0002-6726-775X","affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026961968","display_name":"Clark Barrett","orcid":"https://orcid.org/0000-0002-9522-3084"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Clark Barrett","raw_affiliation_strings":["Stanford University, Stanford, USA"],"raw_orcid":"https://orcid.org/0000-0002-9522-3084","affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052302712"],"corresponding_institution_ids":["https://openalex.org/I13955877"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32900269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.995199978351593,"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/T11567","display_name":"semigroups and automata theory","score":0.9750000238418579,"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":0.798730194568634},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6940078735351562},{"id":"https://openalex.org/keywords/bit","display_name":"Bit (key)","score":0.6788018345832825},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.6686915755271912},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.659983217716217},{"id":"https://openalex.org/keywords/bit-array","display_name":"Bit array","score":0.6063932776451111},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5827621221542358},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5311426520347595},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4698832333087921},{"id":"https://openalex.org/keywords/hol","display_name":"HOL","score":0.4462585747241974},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.41350096464157104},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.41277796030044556},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4088220000267029},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.40317898988723755},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3615122437477112},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32520341873168945},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.28592830896377563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27499377727508545},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.10966339707374573}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.798730194568634},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6940078735351562},{"id":"https://openalex.org/C117011727","wikidata":"https://www.wikidata.org/wiki/Q1278488","display_name":"Bit (key)","level":2,"score":0.6788018345832825},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.6686915755271912},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.659983217716217},{"id":"https://openalex.org/C150807984","wikidata":"https://www.wikidata.org/wiki/Q1992074","display_name":"Bit array","level":3,"score":0.6063932776451111},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5827621221542358},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5311426520347595},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4698832333087921},{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.4462585747241974},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.41350096464157104},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.41277796030044556},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4088220000267029},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.40317898988723755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3615122437477112},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32520341873168945},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.28592830896377563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27499377727508545},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.10966339707374573},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-43369-6_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-43369-6_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43369-6_3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:e43a7f1d-7ca0-4c7d-b829-a08e27f06076","is_oa":true,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:e43a7f1d-7ca0-4c7d-b829-a08e27f06076","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Conference item"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-43369-6_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-43369-6_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43369-6_3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386746568.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W836255558","https://openalex.org/W1529227536","https://openalex.org/W1545409775","https://openalex.org/W1570978294","https://openalex.org/W1949275316","https://openalex.org/W2488488482","https://openalex.org/W2735882127","https://openalex.org/W2792493843","https://openalex.org/W2900758657","https://openalex.org/W2963310240","https://openalex.org/W2969246442","https://openalex.org/W2969652480","https://openalex.org/W3003294284","https://openalex.org/W3173823616","https://openalex.org/W3183490041","https://openalex.org/W4225922019","https://openalex.org/W6698777470","https://openalex.org/W6732010821"],"related_works":["https://openalex.org/W4295798319","https://openalex.org/W1819460135","https://openalex.org/W3098927713","https://openalex.org/W1674186056","https://openalex.org/W1516654960","https://openalex.org/W2888810578","https://openalex.org/W4289109288","https://openalex.org/W4289666903","https://openalex.org/W1571434026","https://openalex.org/W197756383"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"the":[3,9,20,28,73,90,103],"correctness":[4],"of":[5,11,36,75,80,102],"invertibility":[6,82,104],"conditions":[7,83],"for":[8,43,51,92],"theory":[10],"fixed-width":[12],"bit-vectors\u2014used":[13],"to":[14,54,62,98],"solve":[15,63],"quantified":[16],"bit-vector":[17],"formulas":[18,64],"in":[19,27,38,84,94],"Satisfiability":[21],"Modulo":[22],"Theories":[23],"(SMT)":[24],"solver":[25],"cvc5\u2014":[26],"Coq":[29],"proof":[30],"assistant.":[31],"Previous":[32],"work":[33],"proved":[34,50],"many":[35],"these":[37,81],"a":[39,77],"completely":[40],"automatic":[41],"fashion":[42],"arbitrary":[44],"bit-width;":[45],"however,":[46],"some":[47],"were":[48],"only":[49],"bit-widths":[52],"up":[53],"65,":[55],"even":[56],"though":[57],"they":[58],"are":[59],"being":[60],"used":[61],"over":[65],"larger":[66],"bit-widths.":[67],"In":[68,86],"this":[69],"paper":[70],"we":[71,88],"describe":[72,89],"process":[74],"proving":[76],"representative":[78],"subset":[79],"Coq.":[85],"particular,":[87],"library":[91],"bit-vectors":[93],"Coq,":[95],"our":[96],"extensions":[97],"it,":[99],"and":[100],"proofs":[101],"conditions.":[105]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}