{"id":"https://openalex.org/W4405254515","doi":"https://doi.org/10.1145/3729286","title":"Probabilistic Kleene Algebra with Angelic Nondeterminism","display_name":"Probabilistic Kleene Algebra with Angelic Nondeterminism","publication_year":2025,"publication_date":"2025-06-10","ids":{"openalex":"https://openalex.org/W4405254515","doi":"https://doi.org/10.1145/3729286"},"language":"en","primary_location":{"id":"doi:10.1145/3729286","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3729286","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1145/3729286","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057021712","display_name":"Shawn Ong","orcid":"https://orcid.org/0009-0008-6446-9680"},"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":"Shawn Ong","raw_affiliation_strings":["Cornell University, Ithaca, USA"],"raw_orcid":"https://orcid.org/0009-0008-6446-9680","affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Stephanie Ma","orcid":"https://orcid.org/0009-0007-2786-2638"},"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":"Stephanie Ma","raw_affiliation_strings":["Cornell University, Ithaca, USA"],"raw_orcid":"https://orcid.org/0009-0007-2786-2638","affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","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, USA"],"raw_orcid":"https://orcid.org/0000-0002-8007-4725","affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00066901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"PLDI","first_page":"897","last_page":"919"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9420999884605408,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9420999884605408,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiset","display_name":"Multiset","score":0.8558582067489624},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.6411415338516235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5618166327476501},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5237505435943604},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.41127851605415344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30609118938446045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2173631489276886}],"concepts":[{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.8558582067489624},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.6411415338516235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5618166327476501},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5237505435943604},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.41127851605415344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30609118938446045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2173631489276886}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3729286","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3729286","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Programming Languages","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2412.06754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.06754","pdf_url":"https://arxiv.org/pdf/2412.06754","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.2412.06754","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2412.06754","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1145/3729286","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3729286","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"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 ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4823358995","display_name":"SHF: Small: Semantics of Higher Order Probabilistic Programs","funder_award_id":"2008083","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W3183722954","https://openalex.org/W1748927325","https://openalex.org/W2117191146","https://openalex.org/W2964207285","https://openalex.org/W3121131146","https://openalex.org/W4200377602","https://openalex.org/W1489862799","https://openalex.org/W2913846715","https://openalex.org/W3024760727","https://openalex.org/W2295673914","https://openalex.org/W2584921486","https://openalex.org/W1597655219","https://openalex.org/W3176870867","https://openalex.org/W2560355278","https://openalex.org/W1998368317","https://openalex.org/W4246799966","https://openalex.org/W2085858043","https://openalex.org/W1976268573","https://openalex.org/W2034320901","https://openalex.org/W2096169751","https://openalex.org/W1580323521","https://openalex.org/W2144793956","https://openalex.org/W2337623929","https://openalex.org/W2019803254","https://openalex.org/W1971383138","https://openalex.org/W1970904244","https://openalex.org/W2165161585","https://openalex.org/W2995312724","https://openalex.org/W4206240906"],"related_works":["https://openalex.org/W2160196023","https://openalex.org/W1487966966","https://openalex.org/W1482532369","https://openalex.org/W2245685274","https://openalex.org/W2188386601","https://openalex.org/W3042312155","https://openalex.org/W2788308474","https://openalex.org/W2100934637","https://openalex.org/W3021003119","https://openalex.org/W3007870257"],"abstract_inverted_index":{"We":[0,45],"introduce":[1],"a":[2,12,36,47,52],"version":[3],"of":[4,15,35],"probabilistic":[5],"Kleene":[6,49],"algebra":[7],"with":[8],"angelic":[9],"nondeterminism":[10],"and":[11,42,51,60,63],"corresponding":[13],"class":[14],"automata.":[16],"Our":[17],"approach":[18],"implements":[19],"semantics":[20,62],"via":[21],"distributions":[22],"over":[23],"multisets":[24],"in":[25],"order":[26],"to":[27],"overcome":[28],"theoretical":[29],"barriers":[30],"arising":[31],"from":[32],"the":[33,40],"lack":[34],"distributive":[37],"law":[38],"between":[39],"powerset":[41],"Giry":[43],"monads.":[44],"produce":[46],"full":[48],"theorem":[50],"coalgebraic":[53],"theory,":[54],"as":[55,57],"well":[56],"both":[58],"operational":[59],"denotational":[61],"equational":[64],"reasoning":[65],"principles.":[66]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2024-12-12T00:00:00"}