{"id":"https://openalex.org/W3194002092","doi":"https://doi.org/10.1109/isit50566.2022.9834552","title":"First-Order Theory of Probabilistic Independence and Single-Letter Characterizations of Capacity Regions","display_name":"First-Order Theory of Probabilistic Independence and Single-Letter Characterizations of Capacity Regions","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W3194002092","doi":"https://doi.org/10.1109/isit50566.2022.9834552","mag":"3194002092"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834552","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834552","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/A5084702636","display_name":"Cheuk Ting Li","orcid":"https://orcid.org/0000-0002-4803-212X"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Cheuk Ting Li","raw_affiliation_strings":["The Chinese University of Hong Kong,Department of Information Engineering"],"affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong,Department of Information Engineering","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084702636"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":2.2433,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87935762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1536","last_page":"1541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.6383237838745117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4961641728878021},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.48753949999809265},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.487387478351593},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4822278916835785},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4609900116920471},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41769590973854065},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4044961929321289},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34131938219070435},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.2094065546989441},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08403414487838745}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6383237838745117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4961641728878021},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.48753949999809265},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.487387478351593},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4822278916835785},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4609900116920471},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41769590973854065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4044961929321289},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34131938219070435},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.2094065546989441},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08403414487838745},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834552","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834552","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322170","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":93,"referenced_works":["https://openalex.org/W30853191","https://openalex.org/W108696806","https://openalex.org/W155032772","https://openalex.org/W198454336","https://openalex.org/W653974415","https://openalex.org/W1494099594","https://openalex.org/W1527921812","https://openalex.org/W1540715591","https://openalex.org/W1549664537","https://openalex.org/W1553142094","https://openalex.org/W1554288449","https://openalex.org/W1592482298","https://openalex.org/W1636046882","https://openalex.org/W1637898324","https://openalex.org/W1672833098","https://openalex.org/W1956548685","https://openalex.org/W1971536606","https://openalex.org/W1972057797","https://openalex.org/W1978188352","https://openalex.org/W1980957909","https://openalex.org/W1990208988","https://openalex.org/W1991402517","https://openalex.org/W1995423865","https://openalex.org/W2009563364","https://openalex.org/W2017148445","https://openalex.org/W2026482663","https://openalex.org/W2038254774","https://openalex.org/W2046953414","https://openalex.org/W2052013527","https://openalex.org/W2057878779","https://openalex.org/W2058764227","https://openalex.org/W2068118751","https://openalex.org/W2072154373","https://openalex.org/W2088831296","https://openalex.org/W2091147301","https://openalex.org/W2094458162","https://openalex.org/W2095127695","https://openalex.org/W2099213070","https://openalex.org/W2110177995","https://openalex.org/W2111604404","https://openalex.org/W2113940092","https://openalex.org/W2114325434","https://openalex.org/W2114804254","https://openalex.org/W2117832390","https://openalex.org/W2122627558","https://openalex.org/W2123577883","https://openalex.org/W2132100261","https://openalex.org/W2140678653","https://openalex.org/W2143203964","https://openalex.org/W2147681281","https://openalex.org/W2152663409","https://openalex.org/W2156447837","https://openalex.org/W2162212030","https://openalex.org/W2165322425","https://openalex.org/W2167651408","https://openalex.org/W2293830652","https://openalex.org/W2296441616","https://openalex.org/W2313526252","https://openalex.org/W2318268489","https://openalex.org/W2473948563","https://openalex.org/W2530006810","https://openalex.org/W2792587149","https://openalex.org/W2885679891","https://openalex.org/W2886523564","https://openalex.org/W2898032901","https://openalex.org/W2914728526","https://openalex.org/W2951971667","https://openalex.org/W2964174736","https://openalex.org/W2964301063","https://openalex.org/W2990478921","https://openalex.org/W3016530791","https://openalex.org/W3016710723","https://openalex.org/W3103109578","https://openalex.org/W3107421261","https://openalex.org/W3159331181","https://openalex.org/W3173652044","https://openalex.org/W3194002092","https://openalex.org/W3197645223","https://openalex.org/W3210695888","https://openalex.org/W3213147405","https://openalex.org/W3215209533","https://openalex.org/W4300079393","https://openalex.org/W4300403569","https://openalex.org/W4300840296","https://openalex.org/W4302366875","https://openalex.org/W6631634135","https://openalex.org/W6636908886","https://openalex.org/W6664676108","https://openalex.org/W6755387411","https://openalex.org/W6770883119","https://openalex.org/W6776190159","https://openalex.org/W6800100999","https://openalex.org/W6803941471"],"related_works":["https://openalex.org/W2061278088","https://openalex.org/W2163103544","https://openalex.org/W3039080452","https://openalex.org/W3033899355","https://openalex.org/W3025482071","https://openalex.org/W2055254734","https://openalex.org/W2889544313","https://openalex.org/W4254856950","https://openalex.org/W2754056656","https://openalex.org/W2030557677"],"abstract_inverted_index":{"This":[0],"paper":[1],"shows":[2],"that":[3],"many":[4],"notions":[5,71],"in":[6],"information":[7],"theory":[8,24,62],"(e.g.":[9],"entropy,":[10],"capacity":[11,94,126],"regions)":[12],"can":[13,117],"be":[14,118],"defined":[15],"using":[16,112],"probabilistic":[17,30,42,53],"independence":[18,31,43,54],"alone.":[19],"We":[20,90],"consider":[21],"the":[22,29,41,56,79,93,125,129],"first-order":[23,81,114],"of":[25,38,100,124,128],"random":[26,39],"variables":[27],"with":[28],"relation,":[32],"which":[33,116],"concerns":[34],"statements":[35],"consisting":[36],"only":[37,57],"variables,":[40],"symbol,":[44],"logical":[45],"operators,":[46],"and":[47,49,66,75,77,109,144],"existential":[48,136,143],"universal":[50,145],"quantifiers.":[51],"Although":[52],"is":[55,63,67,88],"non-logical":[58],"relation":[59],"included,":[60],"this":[61],"surprisingly":[64],"expressive,":[65],"able":[68],"to":[69],"express":[70],"such":[72],"as":[73,120],"entropy":[74],"cardinality,":[76],"interpret":[78],"true":[80],"arithmetic":[82],"over":[83],"natural":[84],"numbers":[85],"(and":[86],"hence":[87],"undecidable).":[89],"also":[91],"characterize":[92],"region":[95,127],"for":[96],"a":[97,113,121],"general":[98],"class":[99],"multiuser":[101],"coding":[102],"settings":[103,131],"(including":[104],"broadcast":[105],"channel,":[106],"interference":[107],"channel":[108],"relay":[110],"channel)":[111],"formula,":[115],"regarded":[119],"\"single-letter":[122],"characterization\"":[123],"aforementioned":[130],"(conventional":[132],"single-letter":[133],"characterizations":[134],"are":[135],"formulae,":[137],"whereas":[138],"our":[139],"formula":[140],"contains":[141],"both":[142],"quantifiers).":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
