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Which of the following can accept even palindrome over {a,b}ans.Push down AutomataAll of the mentionedTuring machineNDFA

Question

Which of the following can accept even palindrome over {a,b}ans.Push down AutomataAll of the mentionedTuring machineNDFA

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Solution

The correct answer is "Turing machine".

Here's why:

  1. Push Down Automata (PDA): A PDA is a type of automaton that employs a stack. However, it cannot accept even palindrome over {a,b} because it cannot compare the second half of the input with the first half due to its LIFO (Last In First Out) nature.

  2. All of the mentioned: Since PDA cannot accept even palindrome over {a,b}, this option is incorrect.

  3. Turing machine: A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules. It can accept even palindrome over {a,b} because it has the ability to move both left and right on the tape, allowing it to compare the first half of the input with the second half.

  4. Non-deterministic Finite Automaton (NDFA): An NDFA is a finite state machine where for each pair of state and input symbol, there may exist several possible next states. However, it cannot accept even palindrome over {a,b} because it lacks the necessary memory to compare the first half of the input with the second half.

So, the Turing machine is the only one among the options that can accept even palindrome over {a,b}.

This problem has been solved

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