{"id":"https://openalex.org/W4289655151","doi":"https://doi.org/10.1109/isit50566.2022.9834626","title":"A Simpler Proof of the Four Functions Theorem and Some New Variants","display_name":"A Simpler Proof of the Four Functions Theorem and Some New Variants","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655151","doi":"https://doi.org/10.1109/isit50566.2022.9834626"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834626","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021300666","display_name":"Dimitris Achlioptas","orcid":"https://orcid.org/0000-0003-2349-822X"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Dimitris Achlioptas","raw_affiliation_strings":["University of Athens,Department of Informatics &amp; Telecommunications,Athens,Greece"],"affiliations":[{"raw_affiliation_string":"University of Athens,Department of Informatics &amp; Telecommunications,Athens,Greece","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081841491","display_name":"Kostas Zampetakis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kostas Zampetakis","raw_affiliation_strings":["University of California Santa Cruz,Department of Computer Science &amp; Engineering,Santa Cruz,U.S.A"],"affiliations":[{"raw_affiliation_string":"University of California Santa Cruz,Department of Computer Science &amp; Engineering,Santa Cruz,U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021300666"],"corresponding_institution_ids":["https://openalex.org/I200777214"],"apc_list":null,"apc_paid":null,"fwci":0.5714,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"714","last_page":"717"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9854999780654907,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4581124186515808},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3943061828613281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39158177375793457},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3271873891353607},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.0896739661693573}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4581124186515808},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3943061828613281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39158177375793457},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3271873891353607},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0896739661693573},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834626","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1969880716","https://openalex.org/W2001496929","https://openalex.org/W2017722258","https://openalex.org/W2019010155","https://openalex.org/W2028521256","https://openalex.org/W2037905833","https://openalex.org/W2047074127","https://openalex.org/W2130956934","https://openalex.org/W2132806676","https://openalex.org/W2625278024","https://openalex.org/W3106495992","https://openalex.org/W4292058084","https://openalex.org/W6679933395","https://openalex.org/W6739441320"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0],"celebrated":[1],"Four":[2,59],"Functions":[3,60],"Theorem":[4,61],"of":[5,24,38,56,63],"Ahlswede":[6],"and":[7,27,62,66],"Daykin":[8],"is":[9],"a":[10,22,32,43,68],"functional":[11,45],"correlation":[12,46,72],"inequality":[13,26,47,65],"on":[14,74],"distributive":[15,75],"lattices":[16],"with":[17],"myriad":[18],"applications.":[19],"Ruozzi":[20],"proved":[21],"variant":[23],"the":[25,36,49,54,58],"used":[28],"it":[29],"to":[30],"settle":[31],"major":[33],"conjecture":[34],"in":[35,48],"area":[37],"graphical":[39],"models.":[40],"We":[41],"prove":[42],"new":[44],"same":[50],"vein":[51],"which":[52],"simplifies":[53],"proof":[55],"both":[57],"Ruozzi\u2019s":[64],"suggests":[67],"unified":[69],"picture":[70],"for":[71],"inequalities":[73],"lattices.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
