Construct a pushdown automaton for the following language:
L= (ai bj ck li,j,k > = 0, i + k = j}
To construct a pushdown automaton (PDA) for the language , we need to design a PDA that can keep track of the number of 'a's and 'c's to ensure their sum equals the number of 'b's. Here's a high-level description of how the PDA can work:
1. Push a special symbol (e.g., ) after reading the entire input.
This PDA will be non-deterministic because it has to guess when to switch from pushing for 'a's to doing nothing for 'b's and when to start popping for 'c's.
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