{"title":"多值函数的概率验证","authors":"E. Dubrova, Harald Sack","doi":"10.1109/ISMVL.2000.848659","DOIUrl":null,"url":null,"abstract":"This paper describes a probabilistic method for verifying the equivalence of two multiple-valued functions. Each function is hashed to an integer code by transforming it to a integer-valued polynomial and the equivalence of two polynomials is checked probabilistically. The hash codes for two equivalent functions are always the same. Thus, the equivalence of two functions can be verified with a known probability of error, arising from collisions between inequivalent functions. Such a probabilistic verification can be an attractive alternative for verifying functions that are too large to be handled by deterministic verification methods.","PeriodicalId":334235,"journal":{"name":"Proceedings 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"Probabilistic verification of multiple-valued functions\",\"authors\":\"E. Dubrova, Harald Sack\",\"doi\":\"10.1109/ISMVL.2000.848659\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes a probabilistic method for verifying the equivalence of two multiple-valued functions. Each function is hashed to an integer code by transforming it to a integer-valued polynomial and the equivalence of two polynomials is checked probabilistically. The hash codes for two equivalent functions are always the same. Thus, the equivalence of two functions can be verified with a known probability of error, arising from collisions between inequivalent functions. Such a probabilistic verification can be an attractive alternative for verifying functions that are too large to be handled by deterministic verification methods.\",\"PeriodicalId\":334235,\"journal\":{\"name\":\"Proceedings 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2000.848659\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2000.848659","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Probabilistic verification of multiple-valued functions
This paper describes a probabilistic method for verifying the equivalence of two multiple-valued functions. Each function is hashed to an integer code by transforming it to a integer-valued polynomial and the equivalence of two polynomials is checked probabilistically. The hash codes for two equivalent functions are always the same. Thus, the equivalence of two functions can be verified with a known probability of error, arising from collisions between inequivalent functions. Such a probabilistic verification can be an attractive alternative for verifying functions that are too large to be handled by deterministic verification methods.