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Indexed types and Curry-Howard for first-order quantifiers episode artwork

Jan 3, 2020 9 min

Indexed types and Curry-Howard for first-order quantifiers

from Iowa Type Theory Commute Hosted by Aaron Stump

I follow up on some comments I made about Curry-Howard for first-order quantifiers in the previous episode. Sheard's Omega language also mentioned (see links on <a href = "http://web.cecs.pdx.edu/~sheard/">his web page</a>). First-order quantifications turn into indexed types where the indices are not program expressions but come from another syntactic domain.

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Indexed types and Curry-Howard for first-order quantifiers

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