Solved the even palindrome of PDA in automata theory?

Answer 1

In automata theory, a Pushdown Automaton (PDA) can be designed to recognize even-length palindromes by utilizing its stack to store half of the input string. The PDA reads the first half of the input, pushing symbols onto the stack, and then, upon reaching the midpoint, it pops symbols from the stack while comparing them to the second half of the input. If all symbols match and the input is fully consumed, the PDA accepts the string as an even palindrome. This approach leverages the stack's Last-In-First-Out (LIFO) property to ensure symmetry in the palindrome.