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Complexity Hierarchies Beyond Elementary
Published 19 Dec 2013 in cs.CC and cs.LO | (1312.5686v3)
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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