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Additional resources for ACM transactions on programming languages and systems (January)
On the other hand, functions that input the old type have to be modified so as to handle the additional cases. Some programmers may be happy with this, since the type system helps in isolating the part of the program requiring updates. Other programmers may feel that the types are preventing “forward compatibility” of old programs. For example, if we are interested in extracting specifically the Name field, then our program should work for the new database just as well as the old. But this sort of forward compatibility can easily be achieved, at the cost of writing the original program in a slightly more refined way: we maintain the convention that functions on persons should actually ACM Transactions on Programming Languages and Systems, Vol.
F . 2 Again, this proof of soundness goes through with either an inductive definition of Eq, as in CIC, or with its Church encoding, since no large or dependent elimination of proof terms is used. ACM Transactions on Programming Languages and Systems, Vol. 27, No. 1, January 2005. 32 • Z. Shao et al. We call the target calculus for this phase λ K , with syntax: (val) v ::= x | n | tt | ff | X = A, v : A | v0 , . . , vn−1 | fix x [X 1 : A1 , . . , X n : An ](x : A). e (exp) e ::= v[A1 , . . , An ](v ) | let x = v in e | let X , x = open v in e | let x = sel[ A](v, v ) in e | let x = v aop v in e | let x = v cop v in e | if [ A, A ](v, X 1 .
Upgrading the programs that operate on our database can be slightly trickier. Since the new type is a supertype of the old type rather than a subtype, all functions that output the old type can be treated as yielding the new type instead. On the other hand, functions that input the old type have to be modified so as to handle the additional cases. Some programmers may be happy with this, since the type system helps in isolating the part of the program requiring updates. Other programmers may feel that the types are preventing “forward compatibility” of old programs.
ACM transactions on programming languages and systems (January) by Ron K. (ed.) Cytron