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In this paper, we present a novel algorithm to solve the BooleanSatisfiability (SAT) problem, using noise-based logic (NBL). Contrary to whatthe name may suggest, NBL is not a random/fuzzy logic system. In fact, it is acompletely deterministic logic system. A key property of NBL is that it allowsus to apply a superposition of many input vectors to a SAT instance at the sametime, circumventing a key restriction and assumption in the traditionalapproach to solving SAT. By exploiting the superposition property of NBL, ourNBL-based SAT algorithm can determine whether an instance is SAT or not in asingle operation. A satisfying solution can be found by iteratively performingSAT check operations up to n times, where n is the number of variables in theSAT instance. Although this paper does not focus on the realization of anNBL-based SAT engine, such an engine can be conceived using analog circuits(wide-band amplifiers, adders and multipliers), FPGAs or ASICs. Additionally,we also discus scalability of our approach, which can apply to NBL in general.The NBL-based SAT engine described in this paper has been simulated in softwarefor validation purposes.

Boolean Satisfiability using Noise Based Logic