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computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.

5 votes

Prove a function is primitive recursive

There is a theorem that says that any function computable on a Turing machine in time that is a primitive recursive function of the length of the input is primitively recursive. This theorem you can …
Grigory Yaroslavtsev's user avatar