17. Let Σ = {a,b}. For each of the following languages, find a grammar that generates it. (a) L₁ = {a^bm : n ≥ 0,m

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Please solve 17 e f g h and I 

17. Let = {a,b}. For each of the following languages, find a grammar that
E
generates it.
(a) L₁ = {a^bm : n ≥ 0, m<n}.
3n
2n
(b) L₂ = {a³n6²n : n ≥ 2}.
(c) L3 = {an+³b": n ≥ 2}.
-2
(d) L₁ = {a”b”−² : n ≥ 3}.
(e) L₁ L2.
(f) L₁ UL2.
(g) L³.
(h) Lị.
(i) L₁ - L4.
I
C
Transcribed Image Text:17. Let = {a,b}. For each of the following languages, find a grammar that E generates it. (a) L₁ = {a^bm : n ≥ 0, m<n}. 3n 2n (b) L₂ = {a³n6²n : n ≥ 2}. (c) L3 = {an+³b": n ≥ 2}. -2 (d) L₁ = {a”b”−² : n ≥ 3}. (e) L₁ L2. (f) L₁ UL2. (g) L³. (h) Lị. (i) L₁ - L4. I C
Expert Solution
Step 1

{a, b}

e) L1 .L2

S -> S1 S2

S1 ->A B

A -> aAb | 

B -> bB | 

S2 -> aSbb |

 

f) L1 U L2

S -> S1 | S2

S1 -> A B

A -> aAb |

B -> bB | 

S2 -> aSbb |

 

 

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