Complexity Hierarchies beyond Elementary

Author:

Schmitz Sylvain1

Affiliation:

1. LSV, ENS Cachan & CNRS & Inria, Université Paris-Saclay

Abstract

We introduce a hierarchy of fast-growing complexity classes and show its suitability for completeness statements of many nonelementary problems. This hierarchy allows the classification of many decision problems with a nonelementary complexity, which occur naturally in areas such as logic, combinatorics, formal languages, and verification, with complexities ranging from simple towers of exponentials to Ackermannian and beyond.

Funder

ANR

Publisher

Association for Computing Machinery (ACM)

Subject

Computational Theory and Mathematics,Theoretical Computer Science

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