PRL Seminars
Proofs by Structural Induction using Partial Evaluation
Abstract
We show how partial evaluation can be used in developing proofs by
structural induction about program transformations. Partial
evaluation is particularly appropriate for this task because it
distinguishes between static and dynamic data.
This approach requires
a partial evaluator that supports the following features: resugaring;
partially-static structures; higher-order functions; polyvariance; and
filters (we use Consel's partial evaluator, Schism).
As a realistic
example of this technique we prove a theorem arising in our earlier
study of the CPS transformation.
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