{"id":"https://openalex.org/W4386363546","doi":"https://doi.org/10.1007/978-3-031-38499-8_22","title":"Buy One Get 14 Free: Evaluating Local Reductions for\u00a0Modal Logic","display_name":"Buy One Get 14 Free: Evaluating Local Reductions for\u00a0Modal Logic","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386363546","doi":"https://doi.org/10.1007/978-3-031-38499-8_22"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-38499-8_22","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-38499-8_22","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_22.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/10.1007/978-3-031-38499-8_22.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070055601","display_name":"Cl\u00e1udia Nalon","orcid":"https://orcid.org/0000-0002-9792-5346"},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cl\u00e1udia Nalon","raw_affiliation_strings":["Department of Computer Science, University of Bras\u00edlia, Bras\u00edlia, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-9792-5346","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bras\u00edlia, Bras\u00edlia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076121047","display_name":"Ullrich Hustadt","orcid":"https://orcid.org/0000-0002-0455-0267"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ullrich Hustadt","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool, UK"],"raw_orcid":"https://orcid.org/0000-0002-0455-0267","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036361163","display_name":"Fabio Papacchini","orcid":"https://orcid.org/0000-0002-0310-7378"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fabio Papacchini","raw_affiliation_strings":["School of Computing and Communications, Lancaster University in Leipzig, Leipzig, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0310-7378","affiliations":[{"raw_affiliation_string":"School of Computing and Communications, Lancaster University in Leipzig, Leipzig, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013515770","display_name":"Clare Dixon","orcid":"https://orcid.org/0000-0002-4610-9533"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Clare Dixon","raw_affiliation_strings":["Department of Computer Science, University of Manchester, Manchester, UK"],"raw_orcid":"https://orcid.org/0000-0002-4610-9533","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076121047"],"corresponding_institution_ids":["https://openalex.org/I146655781"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.5054,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66603599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"382","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987000226974487,"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":0.9987000226974487,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9969000220298767,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9904000163078308,"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/algorithm","display_name":"Algorithm","score":0.6663655042648315},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37453240156173706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3736073076725006},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3644856810569763}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6663655042648315},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37453240156173706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3736073076725006},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3644856810569763}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-38499-8_22","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-38499-8_22","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_22.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:pure.atira.dk:openaire/08139e9a-5915-495c-a931-9e044c3e50a8","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/08139e9a-5915-495c-a931-9e044c3e50a8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nalon, C, Hustadt, U, Papacchini, F & Dixon, C 2023, Buy One Get 14 Free: Evaluating Local Reductions for Modal Logic\u22c6. in Conference on Automated Deduction . https://doi.org/10.1007/978-3-031-38499-8_22","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:eprints.lancs.ac.uk:205019","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/205019/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Contribution in Book/Report/Proceedings"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-38499-8_22","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-38499-8_22","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-38499-8_22.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":[{"id":"https://openalex.org/G1474488655","display_name":null,"funder_award_id":"EP/N007565","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2898516364","display_name":null,"funder_award_id":"EP/R026084","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3041203688","display_name":null,"funder_award_id":"EP/R026092","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4026159562","display_name":"Science of Sensor System Software","funder_award_id":"EP/N007565/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6041094040","display_name":null,"funder_award_id":"EP/N007565/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6465377262","display_name":"Robotics and Artificial Intelligence for Nuclear (RAIN)","funder_award_id":"EP/R026084/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8572172379","display_name":"Future AI and Robotics Hub for Space (FAIR-SPACE)","funder_award_id":"EP/R026092/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320323350","display_name":"Funda\u00e7\u00e3o de Apoio \u00e0 Pesquisa do Distrito Federal","ror":"https://ror.org/04djvx395"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386363546.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W139679001","https://openalex.org/W302791680","https://openalex.org/W1482585805","https://openalex.org/W1498675708","https://openalex.org/W1574863021","https://openalex.org/W1593443951","https://openalex.org/W1605860778","https://openalex.org/W1815779771","https://openalex.org/W1858455260","https://openalex.org/W1979654686","https://openalex.org/W2016570675","https://openalex.org/W2068815633","https://openalex.org/W2082313938","https://openalex.org/W2163191319","https://openalex.org/W2240236149","https://openalex.org/W2494487003","https://openalex.org/W2607520928","https://openalex.org/W2742138459","https://openalex.org/W2945005331","https://openalex.org/W2968764582","https://openalex.org/W3017391521","https://openalex.org/W3176063663","https://openalex.org/W3197054820","https://openalex.org/W3208326407","https://openalex.org/W4281289051","https://openalex.org/W4289104020","https://openalex.org/W6893736707"],"related_works":["https://openalex.org/W2961085424","https://openalex.org/W4306674287","https://openalex.org/W3046775127","https://openalex.org/W3107602296","https://openalex.org/W3170094116","https://openalex.org/W4386462264","https://openalex.org/W4313488044","https://openalex.org/W3209574120","https://openalex.org/W4312192474","https://openalex.org/W4210805261"],"abstract_inverted_index":{"Abstract":[0],"We":[1,75,101,152,179],"are":[2],"interested":[3],"in":[4,13,84,148,208],"widening":[5],"the":[6,14,25,42,85,107,142,149,174,177,209,216,224,229],"reasoning":[7],"support":[8],"for":[9,128,145,189,205],"propositional":[10],"modal":[11,16,19,27,43,86,99,109,150,210],"logics":[12,83,147,207],"so-called":[15],"cube.":[17,151,211],"The":[18,212],"cube":[20,87],"consists":[21],"of":[22,24,41,94,176,183,202],"extensions":[23],"basic":[26,108],"logic":[28,110],"$$\\textsf{K}_{}$$":[29,111,129,190],"<mml:math":[30,46,52,58,64,70,112,130,191],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[31,47,53,59,65,71,113,131,192],"<mml:msub>":[32,114,132,193],"<mml:mi>K</mml:mi>":[33,115,133,194],"<mml:mrow/>":[34,116,134,195],"</mml:msub>":[35,117,135,196],"</mml:math>":[36,49,55,61,67,73,118,136,197],"with":[37,97,186,220],"an":[38],"arbitrary":[39],"combination":[40],"axioms":[44],"$$\\textsf{B}$$":[45],"<mml:mi>B</mml:mi>":[48],",":[50,56,62,119,157],"$$\\textsf{D}$$":[51],"<mml:mi>D</mml:mi>":[54],"$$\\textsf{T}$$":[57],"<mml:mi>T</mml:mi>":[60],"$$\\textsf{4}$$":[63],"<mml:mn>4</mml:mn>":[66],"and":[68,170],"$$\\textsf{5}$$":[69],"<mml:mn>5</mml:mn>":[72],".":[74,123],"revisit":[76],"recently":[77],"developed":[78],"local":[79],"reductions":[80,104,122,158,184,221],"from":[81],"all":[82,146,206],"to":[88,106,137,140],"a":[89,199],"normal":[90,226],"form":[91,227],"comprising":[92],"sets":[93,182],"clausal":[95,225],"formulae":[96],"associated":[98],"levels.":[100],"extend":[102],"these":[103],"further":[105],"called":[120],"definitional":[121],"This":[124],"enables":[125],"any":[126],"prover":[127],"be":[138],"used":[139],"solve":[141],"satisfiability":[143],"problem":[144],"also":[153],"present":[154],"alternative,":[155],"axiomatic":[156,230],"based":[159,222],"on":[160,173,198,223],"ideas":[161],"originally":[162],"proposed":[163],"by":[164],"Kracht,":[165],"providing":[166],"new":[167],"theoretical":[168],"results":[169,213],"improved":[171],"bounds":[172],"size":[175],"reductions.":[178,231],"compare":[180],"both":[181],"combined":[185],"state-of-the-art":[187],"provers":[188,217],"large":[200],"set":[201],"parametric":[203],"benchmarks":[204],"show":[214],"that":[215],"perform":[218],"better":[219],"than":[228]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
