{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T00:15:03Z","timestamp":1771546503424,"version":"3.50.1"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"9","license":[{"start":{"date-parts":[[2016,9,1]],"date-time":"2016-09-01T00:00:00Z","timestamp":1472688000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/OAPA.html"}],"funder":[{"DOI":"10.13039\/501100000781","name":"ERC","doi-asserted-by":"publisher","award":["2009-AdG-246810"],"award-info":[{"award-number":["2009-AdG-246810"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput."],"published-print":{"date-parts":[[2016,9,1]]},"DOI":"10.1109\/tc.2015.2506566","type":"journal-article","created":{"date-parts":[[2015,12,8]],"date-time":"2015-12-08T14:19:49Z","timestamp":1449584389000},"page":"2889-2895","source":"Crossref","is-referenced-by-count":34,"title":["A Sound and Complete Axiomatization of Majority-$n$ Logic"],"prefix":"10.1109","volume":"65","author":[{"given":"Luca","family":"Amar\u00fa","sequence":"first","affiliation":[{"name":"Integrated Systems Laboratory, Swiss Federal Institute of Technology, Lausanne, EPFL, Lausanne, Switzerland"}]},{"given":"Pierre-Emmanuel","family":"Gaillardon","sequence":"additional","affiliation":[{"name":"Integrated Systems Laboratory, Swiss Federal Institute of Technology, Lausanne, EPFL, Lausanne, Switzerland"}]},{"given":"Anupam","family":"Chattopadhyay","sequence":"additional","affiliation":[{"name":"Nanyang Technological University, Singapore"}]},{"given":"Giovanni","family":"De Micheli","sequence":"additional","affiliation":[{"name":"Integrated Systems Laboratory, Swiss Federal Institute of Technology, Lausanne, EPFL, Lausanne, Switzerland"}]}],"member":"263","reference":[{"key":"ref39","year":"0"},{"key":"ref38","article-title":"The complexity of Boolean functions","author":"wegener","year":"1987","journal-title":"The Complexity of Boolean Functions"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1960.5219856"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1961.5219147"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1961.5219289"},{"key":"ref30","doi-asserted-by":"crossref","DOI":"10.21236\/AD0407946","author":"massey","year":"1963","journal-title":"Threshold Decoding"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/0196-6774(84)90016-6"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/PGEC.1963.263529"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/PGEC.1964.263903"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.1962.5219329"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/NANOARCH.2011.5941494"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1038\/nnano.2010.31"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1126\/science.1120506"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1143\/JJAP.38.7227"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1007\/s10825-014-0589-5","article-title":"A symmetric quantum-dot cellular automata design for 5-input majority gate","volume":"13","author":"arman","year":"2014","journal-title":"J Comput Electron"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TNANO.2003.820815"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TNANO.2013.2241075"},{"key":"ref17","first-page":"191","article-title":"Energy efficient in-memory machine learning for data intensive image-processing by non-volatile domain-wall memory","author":"hao","year":"0","journal-title":"Proc IEEE Asia and South Pacific Des Autom Conf"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1021\/nl4016107"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2004.12.026"},{"key":"ref28","author":"garey","year":"1979","journal-title":"Computers and Intractability A Guide to the Theory of NP-Completeness"},{"key":"ref4","first-page":"1","article-title":"Majority logic representation and satisfiability","author":"amar\u00fa","year":"0","journal-title":"Proc of the International Workshop on Logic Synthesis"},{"key":"ref27","author":"de micheli","year":"1994","journal-title":"Synthesis and Optimization of Digital Circuits"},{"key":"ref3","first-page":"1","article-title":"Majority-inverter graph: A new paradigm for logic optimization","author":"amar\u00fa","year":"2015","journal-title":"IEEE Trans Comput -Aided Design Integr Circuits Syst"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(96)00019-9"},{"key":"ref29","volume":"185","author":"biere","year":"2009","journal-title":"Handbook of Satisfiability"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2010.171.295"},{"key":"ref8","author":"wohl","year":"2013"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5139-3"},{"key":"ref2","first-page":"1","article-title":"Boolean logic optimization in majority-inverter graphs","author":"amar\u00fa","year":"0","journal-title":"Proc 52nd ACM\/EDAC\/IEEE Des Autom Conf"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TNANO.2014.2312177"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1145\/2593069.2593158"},{"key":"ref20","article-title":"Towards logic functions as the device using spin wave functions nanofabric","author":"shabadi","year":"2014"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2009.21"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1109\/TC.2007.30","article-title":"Hierarchical probabilistic macromodeling for QCA circuits","volume":"56","author":"bhanja","year":"2007","journal-title":"IEEE Trans Comput"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1090\/S0002-9947-1904-1500675-4","article-title":"Sets of independent postulates for the algebra of logic","volume":"5","author":"v","year":"1904","journal-title":"Trans American Math Soc"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2004.839468"},{"key":"ref26","article-title":"Boolean reasoning: The logic of Boolean equations","author":"brown","year":"2003"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.2307\/2372123"}],"container-title":["IEEE Transactions on Computers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/12\/7534965\/07348672.pdf?arnumber=7348672","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T23:56:16Z","timestamp":1771545376000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/7348672\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,1]]},"references-count":39,"journal-issue":{"issue":"9"},"URL":"https:\/\/doi.org\/10.1109\/tc.2015.2506566","relation":{},"ISSN":["0018-9340","1557-9956","2326-3814"],"issn-type":[{"value":"0018-9340","type":"print"},{"value":"1557-9956","type":"electronic"},{"value":"2326-3814","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,1]]}}}