A unary relation R over 𝐍 is Turing computable if its characteristic function is computable. Pro

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Step 1: Understand the definitions.u000Au002D A unary relation u005C( R u005C) over u005C( u005Cmathbf{N} u005C) (the set of

A unary relation R over $\mathbf{N}$ is Turing computable if its characteristic function is computable. Prove that every computable relation defines a recursive language. Hint: Construct a machine that accepts $\mathrm{R}$ from the machine that computes its characteristic function.