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By Mr (h: N (b and Hasegawa Masahito (j-kyot-r


Summary: “We study the equational theory of Parigot’s second-order λµ-calculus in connection with a call-by-name continuation-passing style (CPS) translation into a fragment of the secondorder λ-calculus. It is observed that the relational parametricity on the target calculus induces a natural notion of equivalence on the λµ-terms. On the other hand, the unconstrained relational parametricity on the λµ-calculus turns out to be inconsistent with this CPS semantics. Following these facts, we propose to formulate the relational parametricity on the λµ-calculus in a constrained way, which might be called ‘focal parametricity’.” References 1. M. Abadi, L. Cardelli, and P.-L. Curien. Formal parametric polymorphism. Theoret. Comput

Year: 2013
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