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A right-linear grammar is a context-free grammar each of whose rules has one of the following forms: i) $A \rightarrow w$ ii) $A \rightarrow w B$ iii) $A \rightarrow \lambda$, where $w \in \Sigma^*$. Prove that a language $\mathrm{L}$ is generated by a right-linear grammar if, and only if, $\mathrm{L}$ is generated by a regular grammar.

    A right-linear grammar is a context-free grammar each of whose rules has one of the following forms:
i) $A \rightarrow w$
ii) $A \rightarrow w B$
iii) $A \rightarrow \lambda$,
where $w \in \Sigma^*$. Prove that a language $\mathrm{L}$ is generated by a right-linear grammar if, and only if, $\mathrm{L}$ is generated by a regular grammar.

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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 3, Problem 50

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- A **right-linear grammar** is a type of context-free grammar where each production rule is either of the form $A \rightarrow w$, $A \rightarrow wB$, or $A \rightarrow \lambda$, where $A$ and $B$ are non-terminal symbols, $w$ is a string of terminal symbols, and Show more…

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A right-linear grammar is a context-free grammar each of whose rules has one of the following forms: i) $A \rightarrow w$ ii) $A \rightarrow w B$ iii) $A \rightarrow \lambda$, where $w \in \Sigma^*$. Prove that a language $\mathrm{L}$ is generated by a right-linear grammar if, and only if, $\mathrm{L}$ is generated by a regular grammar.

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