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arXiv · 0805.2438

Certified Exact Transcendental Real Number Computation in Coq

Russell O'Connor
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Abstract

Reasoning about real number expressions in a proof assistant is challenging. Several problems in theorem proving can be solved by using exact real number computation. I have implemented a library for reasoning and computing with complete metric spaces in the Coq proof assistant and used this library to build a constructive real number implementation including elementary real number functions and proofs of correctness. Using this library, I have created a tactic that automatically proves strict inequalities over closed elementary real number expressions by computation.

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Russell O'Connor. 2008-05-16. Certified Exact Transcendental Real Number Computation in Coq. https://doi.org/10.1007/978-3-540-71067-7_21

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