Polymorphisms and Circuit Complexity

Gustav Nordh

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arXiv · 1609.04274

Polymorphisms and Circuit Complexity

Gustav Nordh

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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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Gustav Nordh. 2016-09-14. Polymorphisms and Circuit Complexity. https://arxiv.org/abs/1609.04274

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