# Partial Recursive Function

### Some articles on partial recursive function, recursive function, recursive, recursive functions, functions:

Counter Machine Models - The Models in More Detail - 1961: Minsky's Model of A Partial Recursive Function Reduced To A "program" of Only Two Instructions
... led Minsky to the following definition of "an interesting basis for recursive function theory involving programs of only the simplest arithmetic operations" (Minsky (1961) p ... His "Theorem Ia" asserts that any partial recursive function is represented by "a program operating on two integers S1 and S2 using instructions Ij of the forms (cf ... theorem is the context of a second "Theorem IIa" that "...represents any partial recursive function by a program operating on one integer S using instructions Ij ...
Recursively Enumerable Set - Equivalent Formulations
... That is, S is the domain (co-range) of a partial recursive function ... There is a partial recursive function f such that Enumerability The set S is the range of a partial recursive function ... The set S is the range of a total recursive function or empty ...