{"id":"https://openalex.org/W4396913706","doi":"https://doi.org/10.48550/arxiv.2405.07505","title":"A cyclic proof system for Guarded Kleene Algebra with Tests (full version)","display_name":"A cyclic proof system for Guarded Kleene Algebra with Tests (full version)","publication_year":2024,"publication_date":"2024-05-13","ids":{"openalex":"https://openalex.org/W4396913706","doi":"https://doi.org/10.48550/arxiv.2405.07505"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2405.07505","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.07505","pdf_url":"https://arxiv.org/pdf/2405.07505","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":null,"license_id":null,"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/2405.07505","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028154941","display_name":"Jan Rooduijn","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rooduijn, Jan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053923311","display_name":"Dexter Kozen","orcid":"https://orcid.org/0000-0002-8007-4725"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kozen, Dexter","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100658822","display_name":"Alexandra Silva","orcid":"https://orcid.org/0000-0001-5014-9784"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Silva, Alexandra","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028154941"],"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/T10126","display_name":"Logic, programming, and type systems","score":0.9973000288009644,"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":0.9973000288009644,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9962999820709229,"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/kleene-algebra","display_name":"Kleene algebra","score":0.647763192653656},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5162113308906555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47259125113487244},{"id":"https://openalex.org/keywords/kleenes-recursion-theorem","display_name":"Kleene's recursion theorem","score":0.4218669533729553},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.37199532985687256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32015255093574524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19542202353477478},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19412705302238464},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17805597186088562}],"concepts":[{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.647763192653656},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5162113308906555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47259125113487244},{"id":"https://openalex.org/C123260079","wikidata":"https://www.wikidata.org/wiki/Q1933521","display_name":"Kleene's recursion theorem","level":2,"score":0.4218669533729553},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.37199532985687256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32015255093574524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19542202353477478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19412705302238464},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17805597186088562}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2405.07505","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.07505","pdf_url":"https://arxiv.org/pdf/2405.07505","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2405.07505","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2405.07505","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2405.07505","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.07505","pdf_url":"https://arxiv.org/pdf/2405.07505","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1515917476","display_name":null,"funder_award_id":"617.001.857","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396913706.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2471495717","https://openalex.org/W1549533980","https://openalex.org/W1007073359","https://openalex.org/W2951618619","https://openalex.org/W2970531535","https://openalex.org/W1565669300","https://openalex.org/W3008933585","https://openalex.org/W4299135116","https://openalex.org/W1858582518","https://openalex.org/W1483420038"],"abstract_inverted_index":{"Guarded":[0],"Kleene":[1,13,32,72,92],"Algebra":[2,14,93],"with":[3,15,59,71],"Tests":[4],"(GKAT":[5],"for":[6,18,47],"short)":[7],"is":[8,57,67,94],"an":[9],"efficient":[10],"fragment":[11],"of":[12,44,54,91],"Tests,":[16],"suitable":[17],"reasoning":[19],"about":[20],"simple":[21],"imperative":[22],"while-programs.":[23],"Following":[24],"earlier":[25],"work":[26],"by":[27,83],"Das":[28],"and":[29],"Pous":[30],"on":[31],"Algebra,":[33,73],"we":[34],"study":[35],"GKAT":[36,45],"from":[37],"a":[38,48],"proof-theoretical":[39],"perspective.":[40],"The":[41],"deterministic":[42],"nature":[43],"allows":[46],"non-well-founded":[49],"sequent":[50],"system":[51],"whose":[52],"set":[53],"regular":[55],"proofs":[56],"complete":[58],"respect":[60],"to":[61],"the":[62,69,79],"guarded":[63],"language":[64],"model.":[65],"This":[66],"unlike":[68],"situation":[70],"where":[74],"hypersequents":[75],"are":[76],"required.":[77],"Moreover,":[78],"decision":[80],"procedure":[81],"induced":[82],"proof":[84],"search":[85],"runs":[86],"in":[87,95],"NLOGSPACE,":[88],"whereas":[89],"that":[90],"PSPACE.":[96]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2024-05-15T00:00:00"}