{"id":"https://openalex.org/W2607520928","doi":"https://doi.org/10.29007/jsb9","title":"Theorem Provers For Every Normal Modal Logic","display_name":"Theorem Provers For Every Normal Modal Logic","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2607520928","doi":"https://doi.org/10.29007/jsb9","mag":"2607520928"},"language":"en","primary_location":{"id":"doi:10.29007/jsb9","is_oa":true,"landing_page_url":"https://doi.org/10.29007/jsb9","pdf_url":"https://easychair.org/publications/open/6bjv","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/6bjv","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091334476","display_name":"Tobias Glei\u00dfner","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["CZ","DE"],"is_corresponding":true,"raw_author_name":"Tobias Glei\u00dfner","raw_affiliation_strings":["Freie Universitt Berlin, Institute of Computer Science","Freie Universit\u00e4t Berlin, Institute of Computer Science"],"affiliations":[{"raw_affiliation_string":"Freie Universitt Berlin, Institute of Computer Science","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Freie Universit\u00e4t Berlin, Institute of Computer Science","institution_ids":["https://openalex.org/I75951250","https://openalex.org/I4210155092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065695813","display_name":"Alexander Steen","orcid":"https://orcid.org/0000-0001-8781-9462"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]},{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Alexander Steen","raw_affiliation_strings":["Freie Universitt Berlin, Institute of Computer Science","Freie Universit\u00e4t Berlin, Institute of Computer Science"],"affiliations":[{"raw_affiliation_string":"Freie Universitt Berlin, Institute of Computer Science","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Freie Universit\u00e4t Berlin, Institute of Computer Science","institution_ids":["https://openalex.org/I75951250","https://openalex.org/I4210155092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055110324","display_name":"Christoph Benzm\u00fcller","orcid":"https://orcid.org/0000-0002-3392-3093"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Christoph Benzm\u00fcller","raw_affiliation_strings":["Freie Universit\u00e4t Berlin, Institute of Computer Science"],"affiliations":[{"raw_affiliation_string":"Freie Universit\u00e4t Berlin, Institute of Computer Science","institution_ids":["https://openalex.org/I75951250","https://openalex.org/I4210155092"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091334476"],"corresponding_institution_ids":["https://openalex.org/I4210155092","https://openalex.org/I75951250"],"apc_list":null,"apc_paid":null,"fwci":2.7075,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.92086496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"46","issue":null,"first_page":"14","last_page":""},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9955000281333923,"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":0.9941999912261963,"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/modal","display_name":"Modal","score":0.7107535600662231},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6963974237442017},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6552720069885254},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6165469884872437},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.581179141998291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5768613815307617},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.49290990829467773},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4884594976902008},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.4748404622077942},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.4610516130924225},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4524865448474884},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4386020302772522},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.425750732421875},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.37417036294937134},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3321123719215393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3087843060493469},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.2215050756931305},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.18224892020225525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1590520441532135}],"concepts":[{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.7107535600662231},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6963974237442017},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6552720069885254},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6165469884872437},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.581179141998291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5768613815307617},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.49290990829467773},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4884594976902008},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.4748404622077942},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.4610516130924225},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4524865448474884},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4386020302772522},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.425750732421875},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.37417036294937134},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3321123719215393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3087843060493469},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.2215050756931305},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.18224892020225525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1590520441532135},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.29007/jsb9","is_oa":true,"landing_page_url":"https://doi.org/10.29007/jsb9","pdf_url":"https://easychair.org/publications/open/6bjv","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/33698","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/33698","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"LPAR-21. 21st International Conference on Logic for Programming, Artificial Intelligence and Reasoning, 14-30 (2017-05-04); LPAR-21. 21st International Conference on Logic for Programming, Artificial Intelligence and Reasoning, 7 May 2017 to 12 May 2017","raw_type":"peer reviewed"}],"best_oa_location":{"id":"doi:10.29007/jsb9","is_oa":true,"landing_page_url":"https://doi.org/10.29007/jsb9","pdf_url":"https://easychair.org/publications/open/6bjv","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2983837172","display_name":null,"funder_award_id":"BE 2501/11-1 (Leo-III)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2607520928.pdf","grobid_xml":"https://content.openalex.org/works/W2607520928.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W28519672","https://openalex.org/W41255196","https://openalex.org/W102946451","https://openalex.org/W630791750","https://openalex.org/W1448681095","https://openalex.org/W1514763875","https://openalex.org/W1527720545","https://openalex.org/W1562406943","https://openalex.org/W1595209293","https://openalex.org/W1807678626","https://openalex.org/W1844848791","https://openalex.org/W1909465604","https://openalex.org/W1973526857","https://openalex.org/W1996404651","https://openalex.org/W2055750766","https://openalex.org/W2068880842","https://openalex.org/W2106192381","https://openalex.org/W2138366464","https://openalex.org/W2160331299","https://openalex.org/W2162172193","https://openalex.org/W2263480042","https://openalex.org/W2268800649","https://openalex.org/W2268873381","https://openalex.org/W2324363623","https://openalex.org/W2431262575","https://openalex.org/W2487610225","https://openalex.org/W2488544061","https://openalex.org/W2490199991","https://openalex.org/W2519825575","https://openalex.org/W2573468675","https://openalex.org/W2576493435","https://openalex.org/W2577363039","https://openalex.org/W4211036707","https://openalex.org/W4233906803","https://openalex.org/W6606633422"],"related_works":["https://openalex.org/W2534562289","https://openalex.org/W2101793126","https://openalex.org/W142011187","https://openalex.org/W2188462059","https://openalex.org/W2795425183","https://openalex.org/W2187680313","https://openalex.org/W1530784265","https://openalex.org/W4318188140","https://openalex.org/W2189137650","https://openalex.org/W2952939288"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,23,31,60],"procedure":[3,19],"for":[4,33,42,134],"algorithmically":[5],"embedding":[6],"problems":[7],"formulated":[8],"in":[9],"higher-":[10],"order":[11],"modal":[12,44,51,104,123,136],"logic":[13,52,105],"into":[14,40],"classical":[15],"higher-order":[16],"logic.":[17],"The":[18,46],"was":[20],"implemented":[21],"as":[22,30,59,67,69,138],"stand-alone":[24],"tool":[25,84,90],"and":[26,76,79,121],"can":[27],"be":[28],"used":[29],"preprocessor":[32],"turning":[34],"TPTP":[35],"THF-compliant":[36,95],"the-":[37],"orem":[38],"provers":[39,41,97],"various":[43],"logics.":[45,124],"choice":[47],"of":[48,82,119],"the":[49,57,70,77,80,83,100],"concrete":[50],"is":[53],"thereby":[54],"specified":[55],"within":[56],"problem":[58],"meta-logical":[61],"statement.":[62],"This":[63],"specification":[64],"for-":[65],"mat":[66],"well":[68],"underlying":[71],"semantics":[72],"parameters":[73],"are":[74,85],"discussed,":[75],"implementation":[78],"operation":[81],"outlined.":[86],"By":[87],"combining":[88],"our":[89,128,139],"with":[91],"one":[92],"or":[93],"more":[94,117],"theorem":[96,106],"we":[98],"accomplish":[99],"most":[101],"widely":[102],"applicable":[103],"prover":[107,115],"available":[108,114],"to":[109],"date,":[110],"i.e.":[111],"no":[112],"other":[113],"covers":[116],"variants":[118],"propositional":[120],"quantified":[122,135],"Despite":[125],"this":[126],"generality,":[127],"approach":[129],"remains":[130],"competitive,":[131],"at":[132],"least":[133],"logics,":[137],"experiments":[140],"demonstrate.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}