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Transforming Left-linear to Right-linear Grammars and Normal Form of Type 3 Grammars, Exercises of Theory of Formal Languages for Automata

West University of Timisoara Theory of Formal Languages for Automata

Instructions for transforming left-linear grammars to their equivalent right-linear grammars while ensuring the generated language remains the same. Additionally, it covers the process of transforming grammars into the normal form of type 3 grammars. Several examples and exercises to practice these concepts.

Typology: Exercises

2021/2022

Uploaded on 06/07/2022

hicham-rahmouni 🇷🇴

16 documents

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Download Transforming Left-linear to Right-linear Grammars and Normal Form of Type 3 Grammars and more Exercises Theory of Formal Languages for Automata in PDF only on Docsity! Seminar 8 - Transforming Left-linear to Right-linear Grammars; Normal Form of Type 3 Grammars April 2022 1 Transforming a left-linear grammar to a right- linear grammar Transform the following left-linear grammars to their equivalent right-linear grammar; make sure that the generated language stays the same! G1 = (VN , VT , S, P ), VN = {x0, x1, x2}, VT = {A,B,C, ..., Z}, S = x0 P = {x0 → x1D,x1 → x2N, x2 → E} G2 = (VN , VT , S, P ), VN = {S,A}, VT = {a, b,+,−} P = {S → a|b|Aa|Ab,A → S + |S−} 2 Normal form of type 3 grammars Transform the following grammars so that they are in the normal form of type 3 grammars: G1 = (VN , VT , S, P ), VN = {S,A}, VT = {a} P = {S → A,A → aA|a} G2 = (VN , VT , S, P ), VN = {S,A}, VT = {0, 1} P = {S → λ|0|0A,A → 1A|1S} G3 = (VN , VT , S, P ), VN = {S,A,B}, VT = {a, b, c} P = {S → aaA,A → B|c,B → b} 1

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