Mechanising the Reals in an Interactive Theorem Prover Using Theory Interpretation Individual Abstracts and Compressed Postscript Les Are Available from Mechanising the Reals in an Interactive Theorem Prover Using Theory Interpretation

The mechanisation of the real numbers within theorem provers is of practical bene t for the veri cation of real-time systems. The real numbers provide a foundation within the theorem prover for classical mathematical analysis such as di erentiation and integration. The approach we have taken makes extensive use of theory interpretation to maximise theory reuse and hence minimise theorem redundancy. The theory developed is compared with Harrison's HOL version.