Question

Give a context-free grammar (CFG) that generates the language L = { a⁽ʲ⁺ᵏ⁾bc⁽ʲ⁺ᵗ⁾de⁽ᵏ⁺ᵗ⁾ : j,k,t ≥ 0 }

Answer 1

The language to generate is . The idea here is that the start symbol first generated some equal number a's and e's. Then it goes to two symbols, one which produces and the other which produces . It helps to think of the language as . Hence, the start symbol produces the outer strings, while A and B produce the strings inside the parantheses. Here is the grammar:

Comment in case of any doubts.