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Contextual Isomorphisms

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If you have a question about this talk, please contact Neel Krishnaswami.

What is the right notion of “isomorphism” between types, in a simple type theory? The conventional answer is: two terms that are inverse up to contextual equivalence. I will argue that, in the presence of effects, this is too weak. I will propose instead a notion of “contextual isomorphism” that works both for call-by-value (or value types) and for call-by-name (or computation types). In the absence of effects it is equivalent to the conventional notion.

This talk is part of the Lab Lunch series.

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