Abstract
Using program transformation techniques from the field of partial evaluation an automatic tool for generating very efficient conversions from equality-stating theorems has been implemented.
In the situation where a Hol user would normally employ the built-in function GEN_REWRITE_CONV, a function that directly produces a conversion of the desired functionality, this article demonstrates how producing the conversion in the form of a program text instead of as a closure can lead to significant speed-ups.
The Hol system uses a set of 31 simplifying equations on a very large number of intermediate terms derived, e.g., during backwards proofs. For this set the conversion generated by the two-step method is about twice as fast as the method currently used. When installing the new conversion, tests show that the overall running times of Hol proofs are reduced by about 10%. Apart from the speed-up this is completely invisible to the user. With cooperation from the user further speed-up is possible.
On leave from Department of Computer Science, University of Copenhagen, Denmark. Partially supported by The Danish Research Academy.
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Welinder, M. (1995). Very efficient conversions. In: Thomas Schubert, E., Windley, P.J., Alves-Foss, J. (eds) Higher Order Logic Theorem Proving and Its Applications. TPHOLs 1995. Lecture Notes in Computer Science, vol 971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60275-5_75
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DOI: https://doi.org/10.1007/3-540-60275-5_75
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