ACM transactions on programming languages and systems by Ron K. (ed.) Cytron

By Ron K. (ed.) Cytron

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Example text

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. 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.

REGULAR EXPRESSION TYPES We begin with a series of examples illustrating the application of regular expression types and subtyping to XML processing. 1 Values Each type in our language denotes a set of sequences. Types like String and tel[String] denote singleton sequences; the type Tel* denotes sequences formed by repeating the singleton sequence Tel any finite number of times. So each element of the type person[Tel*] is a singleton sequence labeled with person, containing an arbitrary-length sequence of Tels.

HAYASHI, S. 1991. Singleton, union and intersection types for program extraction. In Proceedings of the International Conference on Theoretical Aspects of Computer Software, A. R. Meyer, Ed. 701–730. ACM Transactions on Programming Languages and Systems, Vol. 27, No. 1, January 2005. A Type System for Certified Binaries • 45 HOWARD, W. A. 1980. The formulae-as-types notion of constructions. Curry: Essays on Computational Logic, Lambda Calculus and Formalism. Academic Press, Orlando, Fla. , ET AL.

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