{"title":"The Roots of the NOT Gate","authors":"A. Vos, S. Baerdemacker","doi":"10.1109/ISMVL.2012.14","DOIUrl":"https://doi.org/10.1109/ISMVL.2012.14","url":null,"abstract":"The quantum gates called 'k th root of NOT' and 'controlled k th root of NOT' can be applied to synthesize circuits, both classical reversible circuits and quantum circuits. Such circuits, acting on w qubits, fill a (2w-1)2-dimensional subspace of the (2w)2 -dimensional space U(2w) of the 2w × 2w unitary matrices and thus describe computers situated between classical reversible computers and full quantum computers.","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"322 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115566595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-Archimedean Models of Lukasiewicz Logic","authors":"A. Nola","doi":"10.1109/ISMVL.1996.508332","DOIUrl":"https://doi.org/10.1109/ISMVL.1996.508332","url":null,"abstract":"We survey the theory of non-archimedean algebraic models (MV-algebra) of Lukasiewicz' infinite-valued sentential calculus.","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116530651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Perkowski, M. Marek-Sadowska, L. Józwiak, T. Luba, S. Grygiel, M. Nowicka, R. Malvi, Zhi Wang, Jin S. Zhang
{"title":"Decomposition of Multiple-Valued Relations","authors":"M. Perkowski, M. Marek-Sadowska, L. Józwiak, T. Luba, S. Grygiel, M. Nowicka, R. Malvi, Zhi Wang, Jin S. Zhang","doi":"10.1109/ISMVL.1997.601367","DOIUrl":"https://doi.org/10.1109/ISMVL.1997.601367","url":null,"abstract":"This paper presents a new decomposi tion problem decomposition of multi valued MV re lations and a method of its solution Decomposition is non disjoint and multi level A fundamental di erence in decomposition of MV functions and MV relations is discussed the column cofactor pair compatibil ity translates to the group compatibility for functions but not for relations This makes the decomposition of relations more di cult The method is especially e cient for strongly unspeci ed data typical for Ma chine Learning ML It is implemented in program GUD MV","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130254893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robbins Algebra","authors":"L. Kaufman","doi":"10.1109/ISMVL.1990.122593","DOIUrl":"https://doi.org/10.1109/ISMVL.1990.122593","url":null,"abstract":"It is shown that the Robbins problem can be fruitfully investigated by using a simplified notation for formal algebras. In this notation a nonstandard model for Robbins algebra in terms of the language itself is conjectured. The results show that any algebra satisfying the Robbins axioms is very close to being Boolean. Finiteness, or an instance of absorption (a+b=a), or an instance of idempotency (a+a=a) will push A into being Boolean. The construction of the proposed non-Boolean model for Robbins algebra is given. Also detailed are the different notations available for this model.<<ETX>>","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"55 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126766142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Keynote II: Digital Annealer: A Stochastic Search for Global Optimum","authors":"A. Sheikholeslami","doi":"10.1109/ISMVL49045.2020.00-41","DOIUrl":"https://doi.org/10.1109/ISMVL49045.2020.00-41","url":null,"abstract":"","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124443226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Keynote I: Quantum Annealing and Its Application to Real World","authors":"Masayuki Ohzeki","doi":"10.1109/ISMVL49045.2020.00-42","DOIUrl":"https://doi.org/10.1109/ISMVL49045.2020.00-42","url":null,"abstract":"","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"293 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131464700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Systolic Parallel Multiplier over GF(3m) Using Neuron-MOS DLC","authors":"O. Mirmotahari, Y. Berg","doi":"10.1109/ISMVL.2004.1319932","DOIUrl":"https://doi.org/10.1109/ISMVL.2004.1319932","url":null,"abstract":"In this paper, a parallel input/output modulo multiplier, which is applied to the AOTP (all one or two polynomials) multiplicative algorithm over GF(3/sup m/), has been proposed using a neuron-MOS down-literal circuit in voltage mode. The three-valued input of the proposed multiplier is modulated by using a neuron-MOS down-literal circuit and the multiplication and addition gates are implemented by the selecting of the three-valued input signals transformed by the module. The proposed circuits are simulated with the electrical parameter of a standard 0.35 /spl mu/m CMOS N-well doubly-poly four-metal technology and a single +3 V supply voltage. In the simulation result, the multiplier shows 4 /spl mu/W power consumption and 3 MHz sampling rate and maintains a output voltage level within /spl plusmn/0.1 V.","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125742816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}