✦ LIBER ✦

Using Theory Interpretation to Mechanise the Reals in a Theorem Prover

✍ Scribed by Jamie Shield; Ian Hayes; David Carrington

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 165 KB
Volume: 42
Category: Article
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(04)80890-9

No coin nor oath required. For personal study only.

✦ Synopsis

The mechanisation of the real numbers within theorem provers is of practical benefit for the verification of real-time systems. The real numbers provide a foundation within the theorem prover for classical mathematical analysis such as differentiation and integration. The approach we have taken makes extensive use of the theory interpretation facilities of the interactive theorem prover Ergo to maximise theory reuse and hence minimise theorem redundancy. The theory developed is compared with Harrison's HOL version.

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