{"id":"https://openalex.org/W4281943563","doi":"https://doi.org/10.1145/3519939.3523722","title":"Kleene algebra modulo theories: a framework for concrete KATs","display_name":"Kleene algebra modulo theories: a framework for concrete KATs","publication_year":2022,"publication_date":"2022-06-02","ids":{"openalex":"https://openalex.org/W4281943563","doi":"https://doi.org/10.1145/3519939.3523722"},"language":"en","primary_location":{"id":"doi:10.1145/3519939.3523722","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519939.3523722","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 43rd ACM SIGPLAN International Conference on Programming Language Design and Implementation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3519939.3523722","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075185353","display_name":"Michael Greenberg","orcid":"https://orcid.org/0000-0003-0014-7670"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Greenberg","raw_affiliation_strings":["Stevens Institute of Technology, USA"],"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology, USA","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075133765","display_name":"Ryan Beckett","orcid":"https://orcid.org/0000-0001-7844-2026"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ryan Beckett","raw_affiliation_strings":["Microsoft Research, USA"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078345177","display_name":"Eric Hayden Campbell","orcid":"https://orcid.org/0000-0001-5954-2136"},"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":"Eric Campbell","raw_affiliation_strings":["Cornell University, USA"],"affiliations":[{"raw_affiliation_string":"Cornell University, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075185353"],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":null,"apc_paid":null,"fwci":1.6492,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82446312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"594","last_page":"608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8399127721786499},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7641036510467529},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.7277266383171082},{"id":"https://openalex.org/keywords/kleenes-recursion-theorem","display_name":"Kleene's recursion theorem","score":0.7185388207435608},{"id":"https://openalex.org/keywords/metatheory","display_name":"Metatheory","score":0.663696825504303},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6604609489440918},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.6335386633872986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6227649450302124},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5743623375892639},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5162970423698425},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.48137786984443665},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46919864416122437},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31636905670166016},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24376076459884644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19574686884880066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16830626130104065},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09117034077644348},{"id":"https://openalex.org/keywords/systems-engineering","display_name":"Systems engineering","score":0.08036959171295166},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0801362693309784}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8399127721786499},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7641036510467529},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7277266383171082},{"id":"https://openalex.org/C123260079","wikidata":"https://www.wikidata.org/wiki/Q1933521","display_name":"Kleene's recursion theorem","level":2,"score":0.7185388207435608},{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.663696825504303},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6604609489440918},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.6335386633872986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6227649450302124},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5743623375892639},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5162970423698425},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.48137786984443665},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46919864416122437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31636905670166016},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24376076459884644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19574686884880066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16830626130104065},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09117034077644348},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.08036959171295166},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0801362693309784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3519939.3523722","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519939.3523722","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 43rd ACM SIGPLAN International Conference on Programming Language Design and Implementation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1707.02894","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.02894","pdf_url":"https://arxiv.org/pdf/1707.02894","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":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/3519939.3523722","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519939.3523722","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 43rd ACM SIGPLAN International Conference on Programming Language Design and Implementation","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W66182865","https://openalex.org/W146784359","https://openalex.org/W790410956","https://openalex.org/W1480909796","https://openalex.org/W1525169782","https://openalex.org/W1538101810","https://openalex.org/W1561117500","https://openalex.org/W1566548834","https://openalex.org/W1597515852","https://openalex.org/W1700264732","https://openalex.org/W1788659055","https://openalex.org/W1835362427","https://openalex.org/W1848921964","https://openalex.org/W1975315464","https://openalex.org/W1998368317","https://openalex.org/W2027983931","https://openalex.org/W2066210260","https://openalex.org/W2067738619","https://openalex.org/W2088189323","https://openalex.org/W2117065635","https://openalex.org/W2124430419","https://openalex.org/W2130210899","https://openalex.org/W2137351629","https://openalex.org/W2148994573","https://openalex.org/W2151517515","https://openalex.org/W2152492994","https://openalex.org/W2156429182","https://openalex.org/W2163152086","https://openalex.org/W2164778826","https://openalex.org/W2170145744","https://openalex.org/W2174071996","https://openalex.org/W2207682966","https://openalex.org/W2247845964","https://openalex.org/W2253297209","https://openalex.org/W2256352919","https://openalex.org/W2294916142","https://openalex.org/W2295673914","https://openalex.org/W2311603331","https://openalex.org/W2410246089","https://openalex.org/W2416392025","https://openalex.org/W2509808220","https://openalex.org/W2523467757","https://openalex.org/W2613512071","https://openalex.org/W2726021294","https://openalex.org/W2901540136","https://openalex.org/W2913846715","https://openalex.org/W2951360738","https://openalex.org/W2979499562","https://openalex.org/W2995123640","https://openalex.org/W3004024657","https://openalex.org/W3015661654","https://openalex.org/W3123988290","https://openalex.org/W4233804448","https://openalex.org/W4234045312","https://openalex.org/W4250487560","https://openalex.org/W4251921850","https://openalex.org/W4255282609","https://openalex.org/W4287078746"],"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/W2213295336","https://openalex.org/W2198352470"],"abstract_inverted_index":{"Kleene":[0],"algebras":[1],"with":[2,30,62],"tests":[3],"(KATs)":[4],"offer":[5],"sound,":[6],"complete,":[7,58],"and":[8,33,57,59],"decidable":[9],"equational":[10,54],"reasoning":[11],"about":[12],"regularly":[13],"structured":[14],"programs.":[15],"Interest":[16],"in":[17],"KATs":[18,29],"has":[19],"increased":[20],"greatly":[21],"since":[22],"NetKAT":[23],"demonstrated":[24],"how":[25],"well":[26],"extensions":[27],"of":[28],"domain-specific":[31],"primitives":[32],"extra":[34],"axioms":[35],"apply":[36],"to":[37,44],"computer":[38],"networks.":[39],"Unfortunately,":[40],"extending":[41],"a":[42,45],"KAT":[43],"new":[46],"domain":[47],"by":[48],"adding":[49],"custom":[50],"primitives,":[51],"proving":[52],"its":[53],"theory":[55],"sound":[56],"coming":[60],"up":[61],"an":[63,68],"efficient":[64],"implementation":[65],"is":[66,73],"still":[67],"expert\u2019s":[69],"task.":[70],"Abstruse":[71],"metatheory":[72],"holding":[74],"back":[75],"KAT\u2019s":[76],"potential.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2022-06-13T00:00:00"}
