Question: Show that none of the following programs can exist. Consider a program P that takes in any program F, input x and output y and

Show that none of the following programs can exist. Consider a

Show that none of the following programs can exist. Consider a program P that takes in any program F, input x and output y and returns true if F(x) outputs y and returns false otherwise. Consider a program P that takes in any program F and returns true if F(F) halts and returns false if it doesn't halt. Consider a program P that takes in any programs F and G and returns true if F and G halt on all the same inputs and returns false otherwise. Show that none of the following programs can exist. Consider a program P that takes in any program F, input x and output y and returns true if F(x) outputs y and returns false otherwise. Consider a program P that takes in any program F and returns true if F(F) halts and returns false if it doesn't halt. Consider a program P that takes in any programs F and G and returns true if F and G halt on all the same inputs and returns false otherwise

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