{"id":"https://openalex.org/W4400210632","doi":"https://doi.org/10.1007/978-3-031-63501-4_14","title":"A Cyclic Proof System for\u00a0Guarded Kleene Algebra with\u00a0Tests","display_name":"A Cyclic Proof System for\u00a0Guarded Kleene Algebra with\u00a0Tests","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400210632","doi":"https://doi.org/10.1007/978-3-031-63501-4_14"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-63501-4_14","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-63501-4_14","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63501-4_14.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/10.1007/978-3-031-63501-4_14.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028154941","display_name":"Jan Rooduijn","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Jan Rooduijn","raw_affiliation_strings":["Institute of Logic, Language and Computation, University of Amsterdam, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute of Logic, Language and Computation, University of Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053923311","display_name":"Dexter Kozen","orcid":"https://orcid.org/0000-0002-8007-4725"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dexter Kozen","raw_affiliation_strings":["Cornell University, Ithaca, NY, USA"],"affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100658822","display_name":"Alexandra Silva","orcid":"https://orcid.org/0000-0001-5014-9784"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexandra Silva","raw_affiliation_strings":["Cornell University, Ithaca, NY, USA"],"affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028154941"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.5896,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82807472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"257","last_page":"275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9991999864578247,"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/T11567","display_name":"semigroups and automata theory","score":0.9990000128746033,"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":0.536294162273407},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.4954890012741089},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4486277401447296},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4336540102958679},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33930152654647827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2526819705963135},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.139937162399292}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.536294162273407},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.4954890012741089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4486277401447296},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4336540102958679},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33930152654647827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2526819705963135},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.139937162399292}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-63501-4_14","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-63501-4_14","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63501-4_14.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"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-63501-4_14","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-63501-4_14","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63501-4_14.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":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400210632.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1556837122","https://openalex.org/W1560923948","https://openalex.org/W1575501012","https://openalex.org/W1998368317","https://openalex.org/W2130618976","https://openalex.org/W2149366752","https://openalex.org/W2163152086","https://openalex.org/W2605801877","https://openalex.org/W2726021294","https://openalex.org/W2995123640","https://openalex.org/W3118137278","https://openalex.org/W3123988290","https://openalex.org/W3197192617","https://openalex.org/W3197483185","https://openalex.org/W4210631930","https://openalex.org/W4289755308","https://openalex.org/W4297809295","https://openalex.org/W4322632666","https://openalex.org/W4366077131","https://openalex.org/W4386723546"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2369009640","https://openalex.org/W1491982147","https://openalex.org/W2970076512","https://openalex.org/W2051487156","https://openalex.org/W3123988290","https://openalex.org/W2610206531","https://openalex.org/W1792667814","https://openalex.org/W2751282233"],"abstract_inverted_index":{"Abstract":[0],"Guarded":[1],"Kleene":[2,19,38,86,111],"Algebra":[3,20,112],"with":[4,21,73,85],"Tests":[5],"(":[6],"$$\\texttt{GKAT}$$":[7,42,55],"<mml:math":[8,43,56,103,116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[9,44,57,104,117],"<mml:mi>GKAT</mml:mi>":[10,45,58],"</mml:math>":[11,46,59,106,119],"for":[12,24,61],"short)":[13],"is":[14,71,81,113],"an":[15],"efficient":[16],"fragment":[17],"of":[18,54,68,110],"Tests,":[22],"suitable":[23],"reasoning":[25],"about":[26],"simple":[27],"imperative":[28],"while-programs.":[29],"Following":[30],"earlier":[31],"work":[32],"by":[33,97],"Das":[34],"and":[35],"Pous":[36],"on":[37],"Algebra,":[39,87],"we":[40],"study":[41],"from":[47],"a":[48,62],"proof-theoretical":[49],"perspective.":[50],"The":[51],"deterministic":[52],"nature":[53],"allows":[60],"non-well-founded":[63],"sequent":[64],"system":[65],"whose":[66],"set":[67],"regular":[69],"proofs":[70],"complete":[72],"respect":[74],"to":[75],"the":[76,83,93],"guarded":[77],"language":[78],"model.":[79],"This":[80],"unlike":[82],"situation":[84],"where":[88],"hypersequents":[89],"are":[90],"required.":[91],"Moreover,":[92],"decision":[94],"procedure":[95],"induced":[96],"proof":[98],"search":[99],"runs":[100],"in":[101,114],"$$\\textsf{NLOGSPACE}$$":[102],"<mml:mi>NLOGSPACE</mml:mi>":[105],",":[107],"whereas":[108],"that":[109],"$$\\textsf{PSPACE}$$":[115],"<mml:mi>PSPACE</mml:mi>":[118],".":[120]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
