Probabilistic verification of multiple-valued functions

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.