{"id":"https://openalex.org/W7160294540","doi":"https://doi.org/10.48550/arxiv.2605.01845","title":"Efficient Decision Procedures for RNmatrix Semantics","display_name":"Efficient Decision Procedures for RNmatrix Semantics","publication_year":2026,"publication_date":"2026-05-03","ids":{"openalex":"https://openalex.org/W7160294540","doi":"https://doi.org/10.48550/arxiv.2605.01845"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.01845","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.01845","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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.01845","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111130759","display_name":"Renato Leme","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leme, Renato R.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135369896","display_name":"Carlos Olarte","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Olarte, Carlos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5009045679","display_name":"Elaine Pimentel","orcid":"https://orcid.org/0000-0002-7113-0801"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pimentel, Elaine","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9375,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9375,"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":0.021199999377131462,"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":0.015200000256299973,"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/satisfiability","display_name":"Satisfiability","score":0.640500009059906},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5625},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5482000112533569},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5303999781608582},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4641000032424927},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.3301999866962433},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.3100999891757965},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.30970001220703125}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.640500009059906},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5625},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5482000112533569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5321000218391418},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5303999781608582},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4641000032424927},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4390999972820282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4156999886035919},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3750999867916107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3325999975204468},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.3301999866962433},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.3100999891757965},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.3059999942779541},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.305400013923645},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.30070000886917114},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.28600001335144043},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27149999141693115},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.26350000500679016},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.25999999046325684}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.01845","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.01845","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.01845","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.01845","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.6819080710411072,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Restricted":[0],"non-deterministic":[1,10],"matrices":[2,11],"(RNmatrices)":[3],"impose":[4],"constraints":[5],"on":[6,67],"the":[7,52,58,78,119,128,133,137],"rows":[8,16],"of":[9,43,57,86],"(Nmatrices),":[12],"filtering":[13],"out":[14],"\"unsound\"":[15],"and":[17,36,51,96,114,131,146],"retaining":[18],"only":[19],"\"valid\"":[20],"ones.":[21],"This":[22],"yields":[23],"a":[24,40,83],"more":[25],"expressive":[26],"framework":[27,80],"than":[28],"standard":[29],"Nmatrices.":[30],"Although":[31],"this":[32,74],"approach":[33],"enables":[34],"sound":[35],"complete":[37],"semantics":[38,69],"for":[39,90,121,136,144],"broad":[41],"class":[42],"logics,":[44,47,123,148],"\\eg,":[45],"paraconsistent":[46,122],"propositional":[48],"intuitionistic":[49,145],"logic,":[50],"fifteen":[53],"normal":[54],"modal":[55,59,147],"logics":[56],"cube,":[60],"no":[61],"{\\em":[62],"efficient}":[63],"decision":[64],"procedures":[65],"based":[66],"these":[68,91],"have":[70],"been":[71],"proposed.":[72],"In":[73],"paper,":[75],"we":[76,106],"implement":[77],"RNmatrix":[79],"to":[81,110],"develop":[82],"new":[84],"suite":[85],"automated":[87],"theorem":[88],"provers":[89],"logics.":[92],"By":[93],"encoding":[94],"RNmatrices":[95],"their":[97],"elimination":[98],"criteria":[99],"as":[100,141,143],"Satisfiability":[101],"Modulo":[102],"Theories":[103],"(SMT)":[104],"problems,":[105],"leverage":[107],"SMT":[108],"solvers":[109],"decide":[111],"formula":[112],"validity":[113],"construct":[115],"countermodels.":[116],"We":[117],"illustrate":[118],"method":[120],"where":[124,149],"our":[125,150],"prover":[126,152],"outperforms":[127],"current":[129],"state-of-the-art":[130],"provides":[132],"first":[134],"implementation":[135],"entire":[138],"$C_n$":[139],"hierarchy,":[140],"well":[142],"general-purpose":[151],"achieves":[153],"competitive":[154],"performance.":[155]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-06T00:00:00"}