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Questions and Answers
Which of the following statements about ε and Ф is correct?
Which of the following statements about ε and Ф is correct?
- Statement 1 is false but 2 is correct (correct)
- Statement 1 and 2 both are false
- Statement 1 and 2 both are correct
- There is no difference between both the statements, ε and Ф are different notation for same reason
Which combination of statements make the correct representation of a Finite Automata?
Which combination of statements make the correct representation of a Finite Automata?
- Statement 1 is false but Statement 2 and 3 are correct
- All of the mentioned (correct)
- Statement 1: A Finite automata can be represented graphically
- None of the mentioned statements are correct
Which of the following is not part of the 5-tuple finite automata?
Which of the following is not part of the 5-tuple finite automata?
- Transition function
- Initial State
- Input alphabet
- Output Alphabet (correct)
For the following change of state in FA, which of the following code is an incorrect option? Q = {m, n} ∑ = {0, 1}
For the following change of state in FA, which of the following code is an incorrect option? Q = {m, n} ∑ = {0, 1}
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Study Notes
Finite Automata Concepts
- Epsilon (ε) Transitions: Allow moving from one state to another without consuming input, crucial for non-deterministic finite automata (NFA).
- Ф (Phi): Represents the empty set, often used in automata theory to denote states or transitions where no valid input is present.
Finite Automata Representation
- Finite Automata (FA) is represented using a 5-tuple structure: (Q, ∑, δ, q₀, F).
- Q: Set of states in the automaton.
- ∑: Finite input alphabet.
- δ: Transition function mapping states and input symbols to states.
- q₀: Initial state where any computation begins.
- F: Set of accepting (final) states that determine accepted strings.
Invalid Components of 5-Tuple Finite Automata
- Every component (states, alphabet, transition function, initial state, and accepting states) is critical; omitting any makes the structure incomplete.
- Ensure each part is correctly identified when constructing or analyzing a finite automaton.
Code Representation in Finite Automata
- State change in an FA must adhere to the defined transition function δ.
- Example states {m, n} with input symbols {0, 1} requires valid transitions defined in δ for accurate representation.
- Look for discrepancies in transition mappings to identify incorrect options during implementation.
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