Title :
On the computational power of universally polymorphic recursion
Author :
Kfoury, A.J. ; Tiuryn, Jerzy ; Urzczyn, P.
Author_Institution :
Dept. of Comput. Sci., Boston Univ., MA, USA
Abstract :
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.<>
Keywords :
formal logic; programming theory; ML; computational power; finitely typed functional programs; formal parameters; functional language; universally polymorphic recursion; Computer science education; Equations; Mathematics;
Conference_Titel :
Logic in Computer Science, 1988. LICS '88., Proceedings of the Third Annual Symposium on
Conference_Location :
Edinburgh, UK
Print_ISBN :
0-8186-0853-6
DOI :
10.1109/LICS.1988.5102