English

Polymorphisms and Circuit Complexity

Computational Complexity 2017-05-10 v2

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 ff is characterized by the partial polymorphisms of ff's truth table. Moreover, the non-deterministic circuit complexity of ff is characterized by the polymorphisms of ff's truth table.

Keywords

Cite

@article{arxiv.1609.04274,
  title  = {Polymorphisms and Circuit Complexity},
  author = {Gustav Nordh},
  journal= {arXiv preprint arXiv:1609.04274},
  year   = {2017}
}

Comments

Updated notation and fixed some typos

R2 v1 2026-06-22T15:49:38.226Z