{"id":"https://openalex.org/W4391124671","doi":"https://doi.org/10.48550/arxiv.2401.10703","title":"DRAT Proofs of Unsatisfiability for SAT Modulo Monotonic Theories","display_name":"DRAT Proofs of Unsatisfiability for SAT Modulo Monotonic Theories","publication_year":2024,"publication_date":"2024-01-19","ids":{"openalex":"https://openalex.org/W4391124671","doi":"https://doi.org/10.48550/arxiv.2401.10703"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2401.10703","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.10703","pdf_url":"https://arxiv.org/pdf/2401.10703","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2401.10703","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046002566","display_name":"Nick Feng","orcid":"https://orcid.org/0009-0002-3908-2755"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Feng, Nick","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050411743","display_name":"Alan J. Hu","orcid":"https://orcid.org/0000-0002-4276-0169"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hu, Alan J.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003373393","display_name":"Sam Bayless","orcid":"https://orcid.org/0000-0002-0909-8986"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bayless, Sam","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000851614","display_name":"Syed Muhammad Javed Iqbal","orcid":"https://orcid.org/0000-0002-0810-0917"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Iqbal, Syed M.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024829138","display_name":"Patrick Trentin","orcid":"https://orcid.org/0000-0001-9209-9172"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Trentin, Patrick","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Whalen, Mike","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Whalen, Mike","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019652101","display_name":"Lee Pike","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pike, Lee","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044441669","display_name":"John Backes","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Backes, John","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5046002566"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10703","display_name":"Business Process Modeling and Analysis","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9793999791145325,"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":0.9667999744415283,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8795872330665588},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.7444224953651428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5456448793411255},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4998443126678467},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.4841364324092865},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4268200993537903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.399784654378891},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3951702117919922},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3270612359046936}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8795872330665588},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7444224953651428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5456448793411255},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4998443126678467},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.4841364324092865},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4268200993537903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.399784654378891},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3951702117919922},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3270612359046936},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2401.10703","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.10703","pdf_url":"https://arxiv.org/pdf/2401.10703","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2401.10703","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2401.10703","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2401.10703","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2401.10703","pdf_url":"https://arxiv.org/pdf/2401.10703","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.41999998688697815,"display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G8284766523","display_name":null,"funder_award_id":"(NSERC)","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391124671.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4324296894","https://openalex.org/W2099785256","https://openalex.org/W187835144","https://openalex.org/W315696179","https://openalex.org/W4288055874","https://openalex.org/W2186044446","https://openalex.org/W2945126541","https://openalex.org/W3196023996","https://openalex.org/W1533619009","https://openalex.org/W2509713809"],"abstract_inverted_index":{"Generating":[0],"proofs":[1,31,128],"of":[2,8,17,32,39,73,84],"unsatisfiability":[3,33],"is":[4,13,60,114],"a":[5],"valuable":[6],"capability":[7],"most":[9],"SAT":[10,41,98],"solvers,":[11],"and":[12,55,59,122,126],"an":[14,36],"active":[15],"area":[16],"research":[18],"for":[19,35,129],"SMT":[20],"solvers.":[21],"This":[22],"paper":[23],"introduces":[24],"the":[25,74,85,94,97],"first":[26],"method":[27,69],"to":[28,89],"efficiently":[29],"generate":[30,125],"specifically":[34],"important":[37],"subset":[38],"SMT:":[40],"Modulo":[42],"Monotonic":[43],"Theories":[44],"(SMMT),":[45],"which":[46,78,87],"includes":[47],"many":[48,56,130],"useful":[49],"finite-domain":[50],"theories":[51],"(e.g.,":[52],"bit":[53],"vectors":[54],"graph-theoretic":[57],"properties)":[58],"used":[61],"in":[62,102],"production":[63],"at":[64],"Amazon":[65],"Web":[66],"Services.":[67],"Our":[68],"uses":[70],"propositional":[71],"definitions":[72],"theory":[75],"predicates,":[76],"from":[77],"it":[79],"generates":[80],"compact":[81],"Horn":[82],"approximations":[83],"definitions,":[86],"lead":[88],"efficient":[90],"DRAT":[91],"proofs,":[92],"leveraging":[93],"large":[95],"investment":[96],"community":[99],"has":[100],"made":[101],"DRAT.":[103],"In":[104],"experiments":[105],"on":[106],"practical":[107],"SMMT":[108],"problems,":[109],"our":[110],"proof":[111],"generation":[112],"overhead":[113],"minimal":[115],"(7.41%":[116],"geometric":[117],"mean":[118],"slowdown,":[119],"28.8%":[120],"worst-case),":[121],"we":[123],"can":[124],"check":[127],"problems":[131],"that":[132],"were":[133],"previously":[134],"intractable.":[135]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}