{"title":"布尔表达式的并发分解和因子分解方法","authors":"J. Vasudevamurthy, J. Rajski","doi":"10.1109/ICCAD.1990.129967","DOIUrl":null,"url":null,"abstract":"Efficient algorithms are described for decomposition and factorization of Boolean expressions. The method uses only two-literal single-cube divisors and double-cube divisors considered concurrently with their complementary expressions. It is demonstrated that these objects, despite their simplicity, provide a very good framework to reason about common algebraic divisors and the duality relations between expressions. The algorithm was implemented and excellent results on several benchmark circuits illustrate its efficiency and effectiveness.<<ETX>>","PeriodicalId":242666,"journal":{"name":"1990 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers","volume":"34 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"59","resultStr":"{\"title\":\"A method for concurrent decomposition and factorization of Boolean expressions\",\"authors\":\"J. Vasudevamurthy, J. Rajski\",\"doi\":\"10.1109/ICCAD.1990.129967\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Efficient algorithms are described for decomposition and factorization of Boolean expressions. The method uses only two-literal single-cube divisors and double-cube divisors considered concurrently with their complementary expressions. It is demonstrated that these objects, despite their simplicity, provide a very good framework to reason about common algebraic divisors and the duality relations between expressions. The algorithm was implemented and excellent results on several benchmark circuits illustrate its efficiency and effectiveness.<<ETX>>\",\"PeriodicalId\":242666,\"journal\":{\"name\":\"1990 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers\",\"volume\":\"34 5\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"59\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1990 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCAD.1990.129967\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1990 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCAD.1990.129967","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A method for concurrent decomposition and factorization of Boolean expressions
Efficient algorithms are described for decomposition and factorization of Boolean expressions. The method uses only two-literal single-cube divisors and double-cube divisors considered concurrently with their complementary expressions. It is demonstrated that these objects, despite their simplicity, provide a very good framework to reason about common algebraic divisors and the duality relations between expressions. The algorithm was implemented and excellent results on several benchmark circuits illustrate its efficiency and effectiveness.<>