Question: Prove that the following properties of partial recursive functions are undecidable: (a) A partial recursive function is a constant function. (b) Two partial recursive functions

Prove that the following properties of partial recursive functions are undecidable:

Prove that the following properties of partial recursive functions are undecidable: (a) A partial recursive function is a constant function. (b) Two partial recursive functions phi_x and phi_y are identical. (c) A partial recursive function phi_x is equal to a given partial recursive function phi_a. d) A partial recursive function diverges for all input

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