{"title":"利用多位置决策图优化多值AND-EXOR表达式","authors":"Tsutomu Sasao","doi":"10.1109/ISMVL.1992.186830","DOIUrl":null,"url":null,"abstract":"The author presents an optimization method for pseudo-Kronecker expressions of p-valued-input, two-valued-output functions using multiplace decision diagrams for p=2 and p=4. A conventional method using extended truth tables requires memory of O(3/sup n/) to simplify an n-variable expression, and is only practical for functions of up to n=14 variables when p=2. The method presented utilizes and can optimize considerably larger problems. Experimental results for up to n=39 variables are shown.<<ETX>>","PeriodicalId":127091,"journal":{"name":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","volume":"83 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"40","resultStr":"{\"title\":\"Optimization of multiple-valued AND-EXOR expressions using multiple-place decision diagrams\",\"authors\":\"Tsutomu Sasao\",\"doi\":\"10.1109/ISMVL.1992.186830\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author presents an optimization method for pseudo-Kronecker expressions of p-valued-input, two-valued-output functions using multiplace decision diagrams for p=2 and p=4. A conventional method using extended truth tables requires memory of O(3/sup n/) to simplify an n-variable expression, and is only practical for functions of up to n=14 variables when p=2. The method presented utilizes and can optimize considerably larger problems. Experimental results for up to n=39 variables are shown.<<ETX>>\",\"PeriodicalId\":127091,\"journal\":{\"name\":\"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic\",\"volume\":\"83 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"40\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1992.186830\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1992.186830","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimization of multiple-valued AND-EXOR expressions using multiple-place decision diagrams
The author presents an optimization method for pseudo-Kronecker expressions of p-valued-input, two-valued-output functions using multiplace decision diagrams for p=2 and p=4. A conventional method using extended truth tables requires memory of O(3/sup n/) to simplify an n-variable expression, and is only practical for functions of up to n=14 variables when p=2. The method presented utilizes and can optimize considerably larger problems. Experimental results for up to n=39 variables are shown.<>