| T. Coquand & C. Paulin-Mohring, "About Inductively Defined Types," Proceedings of the Tallin Conference (1988). |
....module containing one data type(constructor) In [Card3) records are axiomatized. In the same way other data types such as power types, list types, variants and basic types should be axiomatizable. For ideas how inductive types may be axiomatized (concerning Calculus of Constr) see [PfPa89] [CoPa88] and [Coqu90] As axiomatization of power types, a method a la the HOL System may be followed. This is, defining a bijection between sets and the predicates (in this case will each predicate characterize a set) 3.4.2 Non primitives in System F : At this moment, we have a pure calculus of ....
T. Coquand & C. Paulin-Mohring, "About Inductively Defined Types," Proceedings of the Tallin Conference (1988).
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