A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is application/pdf.
Real Number Calculations and Theorem Proving
[chapter]
2008
Lecture Notes in Computer Science
Preserved Fulltext
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 in
doi:10.1007/978-3-540-71067-7_19
fatcat:lccfqatnmrg5fal3zvorrlktuu