{"id":"https://openalex.org/W4364387348","doi":"https://doi.org/10.1145/3591293","title":"Cutting the Cake: A Language for Fair Division","display_name":"Cutting the Cake: A Language for Fair Division","publication_year":2023,"publication_date":"2023-06-06","ids":{"openalex":"https://openalex.org/W4364387348","doi":"https://doi.org/10.1145/3591293"},"language":"en","primary_location":{"id":"doi:10.1145/3591293","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1145/3591293","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3591293","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":null,"license_id":null,"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"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3591293","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055564352","display_name":"Noah Bertram","orcid":"https://orcid.org/0000-0001-9842-7624"},"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":true,"raw_author_name":"Noah Bertram","raw_affiliation_strings":["Cornell University, USA"],"raw_orcid":"https://orcid.org/0000-0001-9842-7624","affiliations":[{"raw_affiliation_string":"Cornell University, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058958099","display_name":"Alex Levinson","orcid":null},"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":"Alex Levinson","raw_affiliation_strings":["Cornell University, USA"],"raw_orcid":"https://orcid.org/0009-0009-4722-024X","affiliations":[{"raw_affiliation_string":"Cornell University, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033286190","display_name":"Justin Hsu","orcid":"https://orcid.org/0000-0002-8953-7060"},"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":"Justin Hsu","raw_affiliation_strings":["Cornell University, USA"],"raw_orcid":"https://orcid.org/0000-0002-8953-7060","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/A5055564352"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":0.5583,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82201587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"PLDI","first_page":"1779","last_page":"1800"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9811999797821045,"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/fair-division","display_name":"Fair division","score":0.8746094703674316},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.8058781623840332},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7222146987915039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7156107425689697},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5680812001228333},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5057594776153564},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.49685028195381165},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44225066900253296},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4276261627674103},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4037376642227173},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21505293250083923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1901036500930786},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.10747292637825012}],"concepts":[{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.8746094703674316},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.8058781623840332},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7222146987915039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7156107425689697},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5680812001228333},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5057594776153564},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.49685028195381165},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44225066900253296},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4276261627674103},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4037376642227173},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21505293250083923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1901036500930786},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.10747292637825012},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3591293","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1145/3591293","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3591293","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":null,"license_id":null,"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:2304.04642","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.04642","pdf_url":"https://arxiv.org/pdf/2304.04642","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/3591293","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1145/3591293","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3591293","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":null,"license_id":null,"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":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4358295958","display_name":null,"funder_award_id":"1943130","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4364387348.pdf","grobid_xml":"https://content.openalex.org/works/W4364387348.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1174549238","https://openalex.org/W1201606221","https://openalex.org/W1480909796","https://openalex.org/W1602473385","https://openalex.org/W1854782908","https://openalex.org/W1919126359","https://openalex.org/W1975079208","https://openalex.org/W2040152339","https://openalex.org/W2059840483","https://openalex.org/W2071592032","https://openalex.org/W2130427425","https://openalex.org/W2163671349","https://openalex.org/W2778677255","https://openalex.org/W2796887694","https://openalex.org/W2911865844","https://openalex.org/W2963065304","https://openalex.org/W3211574141","https://openalex.org/W4225922019","https://openalex.org/W4247772422","https://openalex.org/W4300664602","https://openalex.org/W4327860354","https://openalex.org/W6894020435"],"related_works":["https://openalex.org/W2730923572","https://openalex.org/W2027381854","https://openalex.org/W3145102893","https://openalex.org/W2985886153","https://openalex.org/W4294156424","https://openalex.org/W2469602192","https://openalex.org/W1832254459","https://openalex.org/W3124702018","https://openalex.org/W4233699762","https://openalex.org/W2988378415"],"abstract_inverted_index":{"The":[0],"fair":[1,32,131],"division":[2,33,132],"literature":[3],"in":[4,74],"economics":[5],"considers":[6],"how":[7],"to":[8,44,80,95,122],"divide":[9],"resources":[10],"between":[11],"multiple":[12],"agents":[13,42],"such":[14],"that":[15,100],"the":[16,36,41,50,56,90,130],"allocation":[17],"is":[18,105],"envy-free:":[19],"each":[20],"agent":[21],"receives":[22],"their":[23],"favorite":[24],"piece.":[25],"Researchers":[26],"have":[27,120],"developed":[28],"a":[29,46,67,113],"variety":[30],"of":[31,58,116],"protocols":[34,51,128],"for":[35,71,126],"most":[37],"standard":[38],"setting,":[39],"where":[40],"want":[43],"split":[45],"single":[47],"item,":[48],"however,":[49],"are":[52],"highly":[53],"intricate":[54],"and":[55,85,107],"proofs":[57],"envy-freeness":[59,84,125],"involve":[60],"tedious":[61],"case":[62],"analysis.":[63],"We":[64,98,109],"propose":[65],"Slice,":[66,117],"domain":[68],"specific":[69],"language":[70,76],"fair-division.":[72],"Programs":[73],"our":[75,101],"can":[77,92],"be":[78,93],"converted":[79],"logical":[81],"formulas":[82],"encoding":[83],"other":[86],"target":[87],"properties.":[88],"Then,":[89],"constraints":[91],"dispatched":[94],"automated":[96],"solvers.":[97],"prove":[99],"constraint":[102],"generation":[103],"procedure":[104],"sound":[106],"complete.":[108],"also":[110],"report":[111],"on":[112],"prototype":[114],"implementation":[115],"which":[118],"we":[119],"used":[121],"automatically":[123],"check":[124],"several":[127],"from":[129],"literature.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
