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Completeness for typed lazy inequalities

By: Cosmadakis, S.S.; Riecke, J.G.; Meyer, A.R.;

1990 / IEEE / 0-8186-2073-0


This item was taken from the IEEE Periodical ' Completeness for typed lazy inequalities ' Familiar beta eta -equational reasoning on lambda -terms is unsound for proving observational congruences when termination of the standard lazy interpreter is taken into account. A complete logic, based on sequents, for proving termination-observational congruences between simply-typed terms without constants is developed. It is shown that the theory, like that of beta eta -reasoning in the ordinary types lambda -calculus, is decidable. The authors examined the termination behavior of the functional language PCF under the standard interpreters.<>