Which of the following recognizes the same formal language as of DFA and NFA? ans. All of the mentioned Power set Construction Robin-Scott Construction Subset Construction

All of the mentioned methods - Power set Construction, Robin-Scott Construction, and Subset Construction - recognize the same formal language as of DFA (Deterministic Finite Automaton) and NFA (Non-deterministic Finite Automaton).

Here's a brief explanation of each:

1. Power set Construction: This is a standard method for converting an NFA into a DFA. The idea is to consider each set of states that the NFA could potentially be in, as a single state of the DFA.

2. Robin-Scott Construction: This is another method for converting an NFA into a DFA. It's a bit more complex than the power set construction and involves creating a new DFA that simulates the operation of the original NFA.

3. Subset Construction: This is essentially the same as the power set construction. The name "subset construction" comes from the fact that each state in the constructed DFA corresponds to a subset of the states of the NFA.

So, all of these methods can be used to construct a DFA that recognizes the same formal language as a given NFA.