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Binders are explained using presheaves (Pitts/Gabbay A new approach to Abstract Syntax with variable binding)

What is the equivalent (categorical) theory to explain first class modules as in 1ML ?

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    $\begingroup$ One can understand modules (including first class modules) in a language with singleton kinds so any categorical model of singleton kinds will suffice. $\endgroup$ – jozefg Oct 2 '17 at 15:52
  • $\begingroup$ And what would be a categorical model of singleton kinds ? $\endgroup$ – nicolas Oct 3 '17 at 10:52

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