{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T18:19:03Z","timestamp":1771697943215,"version":"3.50.1"},"reference-count":26,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2023,8,1]],"date-time":"2023-08-01T00:00:00Z","timestamp":1690848000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,8,1]],"date-time":"2023-08-01T00:00:00Z","timestamp":1690848000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,8,1]],"date-time":"2023-08-01T00:00:00Z","timestamp":1690848000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11688101"],"award-info":[{"award-number":["11688101"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities of China","doi-asserted-by":"publisher","award":["2021NTST32"],"award-info":[{"award-number":["2021NTST32"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2023,8]]},"DOI":"10.1109\/tit.2023.3263178","type":"journal-article","created":{"date-parts":[[2023,3,29]],"date-time":"2023-03-29T19:02:33Z","timestamp":1680116553000},"page":"4799-4811","source":"Crossref","is-referenced-by-count":8,"title":["Proving Information Inequalities and Identities With Symbolic Computation"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1537-3689","authenticated-orcid":false,"given":"Laigang","family":"Guo","sequence":"first","affiliation":[{"name":"Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7386-4027","authenticated-orcid":false,"given":"Raymond W.","family":"Yeung","sequence":"additional","affiliation":[{"name":"Institute of Network Coding and the Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2021-9395","authenticated-orcid":false,"given":"Xiao-Shan","family":"Gao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing, China"}]}],"member":"263","reference":[{"key":"ref13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1515\/crll.1902.124.1","article-title":"Uber die theorie der einfachen ungleichungen","volume":"1902","author":"farkas","year":"1902","journal-title":"J reine angew Math"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2019.2900669"},{"key":"ref15","author":"lay","year":"2016","journal-title":"Linear Algebra and its Applications"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1137\/S0036144594295502","article-title":"An elementary proof of Farkas&#x2019; lemma","volume":"39","author":"achiya","year":"1997","journal-title":"SIAM Rev"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/18.681320"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2866564"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/MBITS.2021.3123197"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/18.641556"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2014.140516"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2054295"},{"key":"ref19","article-title":"A note on the rate region of exact-repair regenerating codes","author":"tian","year":"2015","journal-title":"arXiv 1503 00011"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1504\/IJICOT.2016.079498"},{"key":"ref24","author":"fukuda","year":"2022","journal-title":"Frequently asked questions in polyhedral computation"},{"key":"ref23","author":"schrijver","year":"2003","journal-title":"Combinatorial Optimization Polyhedra and Efficiency"},{"key":"ref26","author":"ben-tal","year":"2022","journal-title":"Lecture Notes Optimization I"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/ISNETCOD.2011.5978922"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT50566.2022.9834469"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1994.365723"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1145\/262839.262861"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.2982642"},{"key":"ref7","author":"rathenakar","year":"2020","journal-title":"Online X-Information Theoretic Inequalities Prover (oXitip)"},{"key":"ref9","author":"yeung","year":"2008","journal-title":"Information Theory and Network Coding"},{"key":"ref4","author":"pulikkoonattu","year":"2006","journal-title":"A ITIP-based C Program Software Package"},{"key":"ref3","author":"yeung","year":"1996","journal-title":"Information Theoretic Inequality Prover (ITIP) Matlab Program Software Package"},{"key":"ref6","author":"li","year":"2020","journal-title":"Python Symbolic Information Theoretic Inequality Prover (psitip)"},{"key":"ref5","author":"csirmaz","year":"2016","journal-title":"A MINimal Information Theoretic Inequality Prover"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/10183383\/10087312.pdf?arnumber=10087312","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,7]],"date-time":"2023-08-07T18:00:29Z","timestamp":1691431229000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10087312\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8]]},"references-count":26,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2023.3263178","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8]]}}}