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Elementary analytic functions in $VTC^0$ (2206.12164v3)

Published 24 Jun 2022 in cs.LO, cs.CC, and math.LO

Abstract: It is known that rational approximations of elementary analytic functions (exp, log, trigonometric, and hyperbolic functions, and their inverse functions) are computable in the weak complexity class $\mathrm{TC}0$. We show how to formalize the construction and basic properties of these functions in the corresponding theory of bounded arithmetic, $\mathsf{VTC}0$.

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