{"id":"https://openalex.org/W4379518563","doi":"https://doi.org/10.1145/3591226","title":"Lilac: A Modal Separation Logic for Conditional Probability","display_name":"Lilac: A Modal Separation Logic for Conditional Probability","publication_year":2023,"publication_date":"2023-06-06","ids":{"openalex":"https://openalex.org/W4379518563","doi":"https://doi.org/10.1145/3591226"},"language":"en","primary_location":{"id":"doi:10.1145/3591226","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3591226","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3591226","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3591226","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035957556","display_name":"John M. Li","orcid":"https://orcid.org/0000-0003-2130-5092"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John M. Li","raw_affiliation_strings":["Northeastern University, USA"],"raw_orcid":"https://orcid.org/0000-0003-2130-5092","affiliations":[{"raw_affiliation_string":"Northeastern University, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084250644","display_name":"Amal Ahmed","orcid":"https://orcid.org/0000-0001-7424-572X"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amal Ahmed","raw_affiliation_strings":["Northeastern University, USA"],"raw_orcid":"https://orcid.org/0000-0001-7424-572X","affiliations":[{"raw_affiliation_string":"Northeastern University, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066166509","display_name":"Steven Holtzen","orcid":"https://orcid.org/0000-0002-8190-5412"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven Holtzen","raw_affiliation_strings":["Northeastern University, USA"],"raw_orcid":"https://orcid.org/0000-0002-8190-5412","affiliations":[{"raw_affiliation_string":"Northeastern University, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1001,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93087955,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"7","issue":"PLDI","first_page":"148","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9984999895095825,"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":0.9984999895095825,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9941999912261963,"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":0.9800999760627747,"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.5812550187110901},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5707299709320068},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5636371374130249},{"id":"https://openalex.org/keywords/conditional-independence","display_name":"Conditional independence","score":0.5326340198516846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5221489071846008},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"Conditional probability","score":0.4903145134449005},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.4611184597015381},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4586295187473297},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.44024717807769775},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4169086217880249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38051435351371765},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3710974454879761},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.35594213008880615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33001264929771423},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11767324805259705},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1000342071056366}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5812550187110901},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5707299709320068},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5636371374130249},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.5326340198516846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5221489071846008},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.4903145134449005},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.4611184597015381},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4586295187473297},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.44024717807769775},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4169086217880249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38051435351371765},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3710974454879761},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.35594213008880615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33001264929771423},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11767324805259705},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1000342071056366},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3591226","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3591226","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3591226","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"}],"best_oa_location":{"id":"doi:10.1145/3591226","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3591226","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3591226","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":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3640164485","display_name":null,"funder_award_id":"2220408","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6848923915","display_name":null,"funder_award_id":"CCF-2220408","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4379518563.pdf","grobid_xml":"https://content.openalex.org/works/W4379518563.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1526933051","https://openalex.org/W1545549932","https://openalex.org/W1549644356","https://openalex.org/W1971616901","https://openalex.org/W1982682305","https://openalex.org/W1982800675","https://openalex.org/W2008160048","https://openalex.org/W2014354084","https://openalex.org/W2017170340","https://openalex.org/W2072403451","https://openalex.org/W2074583765","https://openalex.org/W2075644848","https://openalex.org/W2125505801","https://openalex.org/W2130111506","https://openalex.org/W2141670510","https://openalex.org/W2249132795","https://openalex.org/W2294463722","https://openalex.org/W2468219941","https://openalex.org/W2565964471","https://openalex.org/W2595803793","https://openalex.org/W2597297629","https://openalex.org/W2785464537","https://openalex.org/W2860675612","https://openalex.org/W2901454403","https://openalex.org/W2912723978","https://openalex.org/W2939574732","https://openalex.org/W2949151551","https://openalex.org/W2962780947","https://openalex.org/W2962835979","https://openalex.org/W2964232059","https://openalex.org/W2969875089","https://openalex.org/W3007301222","https://openalex.org/W3100227903","https://openalex.org/W3106280144","https://openalex.org/W3119885031","https://openalex.org/W3122767180","https://openalex.org/W3122935293","https://openalex.org/W3125832933","https://openalex.org/W3173741849","https://openalex.org/W3175664396","https://openalex.org/W3184096451","https://openalex.org/W3215996134","https://openalex.org/W3216049021","https://openalex.org/W4205512329","https://openalex.org/W4256027310","https://openalex.org/W4362655455","https://openalex.org/W4407735807","https://openalex.org/W4407736074"],"related_works":["https://openalex.org/W1537541219","https://openalex.org/W2082558313","https://openalex.org/W65541081","https://openalex.org/W1909183225","https://openalex.org/W1988817063","https://openalex.org/W1486142549","https://openalex.org/W7834247","https://openalex.org/W119381390","https://openalex.org/W2087078176","https://openalex.org/W4285262424"],"abstract_inverted_index":{"We":[0,135],"present":[1,51],"Lilac,":[2],"a":[3,36,52,86,96,123,149],"separation":[4],"logic":[5,87,141],"for":[6,79,130],"reasoning":[7,114,131],"about":[8,115,132],"probabilistic":[9,15],"programs":[10],"where":[11,24],"separating":[12],"conjunction":[13],"captures":[14],"independence.":[16],"Inspired":[17],"by":[18],"an":[19,153],"analogy":[20],"with":[21,88],"mutable":[22],"state":[23],"sampling":[25,156],"corresponds":[26],"to":[27,42,100],"dynamic":[28],"allocation,":[29],"we":[30,121],"show":[31,136],"how":[32,137],"probability":[33,60],"spaces":[34,61],"over":[35],"fixed,":[37],"ambient":[38],"sample":[39],"space":[40],"appear":[41],"be":[43],"the":[44,77,101,138],"natural":[45],"analogue":[46],"of":[47,67,82,118,152],"heap":[48],"fragments,":[49],"and":[50,65,84,104,113,147],"new":[53,124],"combining":[54,74],"operation":[55,75],"on":[56,127,162],"them":[57],"such":[58],"that":[59],"behave":[62],"like":[63,71,109],"heaps":[64],"measurability":[66],"random":[68,111],"variables":[69,112],"behaves":[70],"ownership.":[72],"This":[73],"forms":[76],"basis":[78],"our":[80],"model":[81],"separation,":[83],"produces":[85],"many":[89],"pleasant":[90],"properties.":[91],"In":[92],"particular,":[93],"Lilac":[94],"has":[95],"frame":[97],"rule":[98],"identical":[99],"ordinary":[102],"one,":[103],"naturally":[105],"accommodates":[106],"advanced":[107],"features":[108],"continuous":[110],"quantitative":[116],"properties":[117],"programs.":[119],"Then":[120],"propose":[122],"modality":[125],"based":[126],"disintegration":[128],"theory":[129],"conditional":[133,163],"probability.":[134],"resulting":[139],"modal":[140],"validates":[142],"examples":[143],"from":[144],"prior":[145],"work,":[146],"give":[148],"formal":[150],"verification":[151],"intricate":[154],"weighted":[155],"algorithm":[157],"whose":[158],"correctness":[159],"depends":[160],"crucially":[161],"independence":[164],"structure.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
