Completeness classes in algebraic complexity theory
Peter B\"urgisser
TL;DR
This paper reviews the significant influence of Les Valiant's 1979 work on the development of algebraic complexity theory, highlighting the importance of completeness classes.
Contribution
It provides an overview of the foundational role of Valiant's completeness classes in algebraic complexity theory.
Findings
Valiant's completeness classes are central to algebraic complexity.
The paper traces the historical development influenced by Valiant's work.
It emphasizes the impact of these classes on complexity theory advancements.
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.
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Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Advanced Graph Theory Research