2. Give a CFG for each of the following languages where m, n, k, l ≥...

Question

Question

2. Give a CFG for each of the following languages where m, n, k, l ≥ 0.

(a) L = {a^m bⁿ c^k d^l | m = n + k + l}.

(b) L = {a^m bⁿ c^k d^l | k = m + n + l}.

(c) L = {a^m bⁿ c^k d^l | m + 2l = n + k}.

(d) L = {a^m bⁿ c^k d^l | m + k = 2n + l}.

engineering Computer-Science

Answer 1

Answer #1

a)

Grammar
S -> aSd | A
A -> aAc | C
C -> aCb | epsilon

Explanation
S is to have l number of a's and d's
A is to have l number of a's and c's
C is to have l number of a's and b's

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Answer 2

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