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13

TPHOL
2005
IEEE

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Real Number Calculations and Theorem Proving

13 years 10 months ago

Real Number Calculations and Theorem Proving

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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 PVS. The strategy provides a safe way to perform explicit calculations over real numbers in formal proofs.

César Muñoz, David Lester

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Added	25 Jun 2010
Updated	25 Jun 2010
Type	Conference
Year	2005
Where	TPHOL
Authors	César Muñoz, David Lester

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