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Lecture Notes in Computer Science
Wouldn't it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem proving framework. First, we formally establish upper and lower bounds for trigonometric and transcendental functions. Then, based on these bounds, we develop a rational interval arithmetic where real number calculations can be performed in an algebraic setting. This pragmatic approach has been implemented as a strategy indoi:10.1007/978-3-540-71067-7_19 fatcat:lccfqatnmrg5fal3zvorrlktuu