{"id":"https://openalex.org/W4384392906","doi":"https://doi.org/10.48550/arxiv.2307.06897","title":"Proof Systems for the Modal $\u03bc$-Calculus Obtained by Determinizing Automata","display_name":"Proof Systems for the Modal $\u03bc$-Calculus Obtained by Determinizing Automata","publication_year":2023,"publication_date":"2023-07-13","ids":{"openalex":"https://openalex.org/W4384392906","doi":"https://doi.org/10.48550/arxiv.2307.06897"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2307.06897","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.06897","pdf_url":"https://arxiv.org/pdf/2307.06897","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2307.06897","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016508924","display_name":"Maurice Dekker","orcid":"https://orcid.org/0000-0001-7096-8576"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dekker, Maurice","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074009221","display_name":"Johannes Kloibhofer","orcid":"https://orcid.org/0009-0003-2471-9407"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kloibhofer, Johannes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025715442","display_name":"Johannes Marti","orcid":"https://orcid.org/0009-0008-3193-0450"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marti, Johannes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5105920523","display_name":"Yde Venema","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Venema, Yde","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":true,"cited_by_count":1,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9914000034332275,"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/soundness","display_name":"Soundness","score":0.7059487700462341},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.7056248188018799},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6426274180412292},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5063434839248657},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4728565216064453},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.46890178322792053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4653972089290619},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.42188045382499695},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4182993769645691},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3611559271812439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2873085141181946},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.26952195167541504},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2286398708820343}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7059487700462341},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.7056248188018799},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6426274180412292},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5063434839248657},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4728565216064453},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.46890178322792053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4653972089290619},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.42188045382499695},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4182993769645691},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3611559271812439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2873085141181946},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26952195167541504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2286398708820343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2307.06897","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.06897","pdf_url":"https://arxiv.org/pdf/2307.06897","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2307.06897","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2307.06897","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"pmh:oai:arXiv.org:2307.06897","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.06897","pdf_url":"https://arxiv.org/pdf/2307.06897","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384392906.pdf","grobid_xml":"https://content.openalex.org/works/W4384392906.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W13634261","https://openalex.org/W4250462479","https://openalex.org/W2804643406","https://openalex.org/W3163509751","https://openalex.org/W958050847","https://openalex.org/W2396405675","https://openalex.org/W175051304","https://openalex.org/W1549730417","https://openalex.org/W1548499332","https://openalex.org/W1994524667"],"abstract_inverted_index":{"Automata":[0],"operating":[1],"on":[2],"infinite":[3,32],"objects":[4],"feature":[5],"prominently":[6],"in":[7],"the":[8,11,18,28,68,89,114,117],"theory":[9],"of":[10,26,47,56,101,107,116],"modal":[12],"$\u03bc$-calculus.":[13,69],"One":[14],"such":[15],"application":[16],"concerns":[17],"tableau":[19],"games":[20],"introduced":[21],"by":[22,38,45,99],"Niwi\u0144ski":[23],"&amp;":[24],"Walukiewicz,":[25],"which":[27],"winning":[29],"condition":[30],"for":[31,67,78],"plays":[33],"can":[34],"be":[35,60],"naturally":[36],"checked":[37],"a":[39,74],"nondeterministic":[40,80],"parity":[41,81],"stream":[42,82],"automaton.":[43],"Inspired":[44],"work":[46],"Jungteerapanich":[48],"and":[49,105],"Stirling":[50],"we":[51,72,87],"show":[52],"how":[53],"determinization":[54,118],"constructions":[55],"this":[57,85,108],"automaton":[58],"may":[59],"used":[61],"to":[62],"directly":[63],"obtain":[64],"proof":[65,92],"systems":[66],"More":[70],"concretely,":[71],"introduce":[73],"binary":[75,102],"tree":[76],"construction":[77,86],"determinizing":[79],"automata.":[83],"Using":[84],"define":[88],"annotated":[90,98],"cyclic":[91],"system":[93,109],"$\\mathsf{BT}$,":[94],"where":[95],"formulas":[96],"are":[97],"tuples":[100],"strings.":[103],"Soundness":[104],"Completeness":[106],"follow":[110],"almost":[111],"immediately":[112],"from":[113],"correctness":[115],"method.":[119]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2023-07-15T00:00:00"}
