The language {0^n1^n | n ≥ 1} represents all strings of 0's followed by an equal number of 1's. This language is not regular, and therefore, it cannot be represented by a deterministic finite automaton (DFA).

A DFA has a finite number of states and it cannot keep track of an arbitrary number of 0's to ensure that there are an equal number of 1's following. This is because the DFA has no memory of past inputs and cannot count the number of 0's and 1's.

Therefore, the answer is c. Infinite.

Question

The language {0^n1^n | n ≥ 1} represents all strings of 0's followed by an equal number of 1's. This language is not regular, and therefore, it cannot be represented by a deterministic finite automaton (DFA).

A DFA has a finite number of states and it cannot keep track of an arbitrary number of 0's to ensure that there are an equal number of 1's following. This is because the DFA has no memory of past inputs and cannot count the number of 0's and 1's.

Therefore, the answer is c. Infinite.

Knowee AI · Accepted Answer

The language {0^n1^n | n ≥ 1} represents all strings of 0's followed by an equal number of 1's. This language is not regular, and therefore, it cannot be represented by a deterministic finite automaton (DFA).

A DFA has a finite number of states and it cannot keep track of an arbitrary number of 0's to ensure that there are an equal number of 1's following. This is because the DFA has no memory of past inputs and cannot count the number of 0's and 1's.

Therefore, the answer is c. Infinite.

What is the minimum number of states required to represent the language {0^n1^n | n ≥ 1} using a DFA?a.1b.2c.Infinited.3

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What is the minimum number of states required to represent the language {0^n1^n | n ≥ 1} using a DFA?

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