Programming With Structures Functions And Objects

Cover Programming With Structures Functions And Objects
Programming With Structures Functions And Objects
Fritz Henglein
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It has type p, asstmaing M : 3t : Ui. B{t) and x : B{t) ^ N : p, with the restriction that t does not leave the scope of N, i. E. Appear free yd. P or the type of any vciriable appearing free in N . Locally within A^, t refers to the type component, and x to the value com- ponent. Although existential types, similarly to generad sum types, have a type component which is a member of f/i, they Ccin be considered as members of Ui. This is possible because the type component is hidden and may be ac...cessed only locally as an opaque type newly generated with each open operation.
XML+ provides signatures as general sum types; however, the structures described by those signatures may be treated as members of existentiaJ types so that they have small types. This flexibility is achieved by recognizing that there is a canoniccd coercion function /iide:St : Ui. B{t) ^ It : Ui. B[t) 11 which simply hides the identity of the type component of a structure and is reflected in the typing niles.
G differs from XML in severed ways.


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