English

Completeness classes in algebraic complexity theory

Computational Complexity 2024-06-11 v1

Abstract

The purpose of this overview is to explain the enormous impact of Les Valiant's eponymous short conference contribution from 1979 on the development of algebraic complexity.

Cite

@article{arxiv.2406.06217,
  title  = {Completeness classes in algebraic complexity theory},
  author = {Peter Bürgisser},
  journal= {arXiv preprint arXiv:2406.06217},
  year   = {2024}
}

Comments

49 pages, 4 figures. To appear in "Foundations of Computation and Machine Learning: The Work of Leslie Valiant'', Ed. Rocco Servedio, Turing Award series, ACM