Polymorphisms and Circuit Complexity (1609.04274v2)

Published 14 Sep 2016 in cs.CC

Abstract: We present a framework for studying circuit complexity that is inspired by techniques that are used for analyzing the complexity of CSPs. We prove that the circuit complexity of a Boolean function $f$ is characterized by the partial polymorphisms of $f$'s truth table. Moreover, the non-deterministic circuit complexity of $f$ is characterized by the polymorphisms of $f$'s truth table.

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Authors (1)

Gustav Nordh

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