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Let $\mathrm{R} \subseteq\{I\}^{+}$be a recursive language. Prove that $\mathrm{R}$ defines a computable relation on N.

    Let $\mathrm{R} \subseteq\{I\}^{+}$be a recursive language. Prove that $\mathrm{R}$ defines a computable relation on N.

Languages and Machines: An Introduction to the Theory of Computer Science

Languages and Machines: An Introduction to the Theory of Computer Science

Thomas A. Sudkamp 2nd Edition

Chapter 12, Problem 14

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- $\{I\}^{+}$ represents the set of all non-empty strings over the alphabet consisting of the symbol $I$. This can be interpreted as the set of all positive integers, where each integer $n$ is represented by a string of $n$ consecutive $I$s. - A recursive language Show more…

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Let $\mathrm{R} \subseteq\{I\}^{+}$be a recursive language. Prove that $\mathrm{R}$ defines a computable relation on N.

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