Question

Construct a DFA to describe the rules of baseball, as far as the position of a single batter is concerned. The DFA should start with the batter at the home base (start state) and support an appropriate

Answer 1

To construct a DFA (Deterministic Finite Automaton) that describes the rules of baseball for a single batter, we can define a set of states and transitions to represent the possible positions a batter can be in.

Step-by-step explanation:

Baseball DFA

To construct a DFA (Deterministic Finite Automaton) that describes the rules of baseball for a single batter, we can define a set of states and transitions to represent the possible positions a batter can be in.

States:

1. Home Base (start state)
2. First Base
3. Second Base
4. Third Base
5. Out

Transitions:

• Transition 1: From Home Base to First Base when a batter hits the ball and successfully reaches first base.
• Transition 2: From First Base to Second Base when a batter successfully steals or advances to second base.
• Transition 3: From Second Base to Third Base when a batter successfully steals or advances to third base.
• Transition 4: From Third Base to Home Base when a batter successfully reaches home base and scores a run.
• Transition 5: From any base to Out when a batter is tagged out or forced out.

This DFA represents the possible positions a batter can be in during a baseball game. It starts with the batter at the home base and allows for transitions to different bases or being called out.