关于普遍多态递归的计算能力

A. Kfoury, J. Tiuryn, P. Urzyczyn
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引用次数: 5

摘要

ML/sup +/是函数式语言ML的扩展,它允许递归调用函数的实际参数具有相应形式参数(派生)类型的泛型实例的类型。结果表明,原始机器学习允许的多态性可以在不损失计算能力的情况下消除,具体来说,它的计算能力(在所有解释中)与有限类型函数程序的计算能力相同。证明了ML/sup +/的多态性是不能消除的,因为它的计算能力远远超过有限类型的函数程序,因此也超过了原来的ML
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the computational power of universally polymorphic recursion
ML/sup +/ is an extension of the functional language ML that allows the actual parameters of recursively called functions to have types that are generic instances of the (derived) types of corresponding formal parameters. It is shown that the polymorphism allowed by the original ML can be eliminated without loss of computational power, specifically, it is shown that its computational power (in all interpretations) is the same as that of finitely typed functional programs. It is proved that the polymorphism of ML/sup +/ cannot be eliminated, in that its computational power far exceeds that of finitely typed functional programs and therefore that of the original ML too.<>
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