Complexity Hierarchies Beyond Elementary

Sylvain Schmitz

doi:10.1145/2858784

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arXiv · 1312.5686

Complexity Hierarchies Beyond Elementary

Sylvain Schmitz

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Abstract

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

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Sylvain Schmitz. 2013-12-19. Complexity Hierarchies Beyond Elementary. https://doi.org/10.1145/2858784

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