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The evolution of the term “recursive” from Goedel to Church to present day

I'm currently studying some of the history of computation / computability, in the early days known as recursion theory. I see Goedel's definition of recursive functions seems significant in his paper,...
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Is McCarthy Formalism first ever formalism for defining functions recursively in computer science?

McCarthy formalism is a formalism for defining functions recursively, first introduced in classic paper Recursive Functions of Symbolic Expressions and Their Computation by Machine, Part I (1960). ...
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Proof of correctness recursive reverse digit function

This is an attempt to understand better recursion. The following recursive function returns the integer obtained by reversing the digits of an input integer. I'm trying to prove its correctness: <...
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118 views

How to show that certain summations are primitive recursive?

If we have a function $g\colon \mathbb{N}^{k+1} \to \mathbb{N}$ which is primitive-recursive. How to show that the function $f\colon \mathbb{N}^{k+1} \to \mathbb{N}$ with $$f(x_1, \dots, x_k , x_{k+...