(Solved): For each formal language definition in exercises 18, draw a diagram to define a DFA which recogn ...

Expert Answer

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To draw diagrams for each DFA that recognizes the given languages, we'll use state diagrams where the states are represented by circles and transitions are represented by arrows labeled with input symbols.
The initial state is indicated by an arrow coming from nowhere, and the accepting states are denoted by double circles.

Language: { "a", "b", "ba" } DFA Diagram:



{ "a", "b", "ba" }
The DFA has three states: q0, q1, and q2.
The start state is q0, denoted by the arrow entering from nowhere.
The accepting state is q2, represented by the double circle.
From q0, upon receiving input "a", the DFA transitions to state q1.
From q0, upon receiving input "b", the DFA transitions to state q1.
From q1, upon receiving input "a", the DFA loops back to itself at state q1.
From q1, upon receiving input "b", the DFA transitions to the accepting state q2.
The DFA diagram shows all the possible transitions between states based on the input symbols "a" and "b" to recognize the language { "a", "b", "ba" }.