3. Call a functionf:N N eventually nondecreasing if the set decr(f) = {n €N|S(n +1) < f(n)} is finite. Prove: If f : N - Nis computable and eventually nondecreasing, then range f is decidable. 3.

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3. Call a function f :N N eventually nondecreasing if the set
decr(f) = {n €N|s(n +1) < f(n)}
is finite. Prove: If f : N → N is computable and eventually nondecreasing, then range f is
decidable.
Transcribed Image Text:3 3. Call a function f :N N eventually nondecreasing if the set decr(f) = {n €N|s(n +1) < f(n)} is finite. Prove: If f : N → N is computable and eventually nondecreasing, then range f is decidable.
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