多值函数的概率验证

E. Dubrova, Harald Sack
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引用次数: 18

摘要

本文给出了一种验证两个多值函数等价性的概率方法。通过将每个函数转换为整数多项式,将其散列为整数码,并对两个多项式的等价性进行概率检查。两个等价函数的哈希码总是相同的。因此,两个函数的等价性可以用已知的误差概率来验证,误差概率是由不等价函数之间的碰撞引起的。对于那些太大而无法由确定性验证方法处理的函数,这种概率验证可能是一种有吸引力的替代方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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.
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