2 NFA to DFA Consider the following NFA N. B A 1 1 C
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Consider the following NFA N.
B
А
D
1
a) Give the 5-tuple which represents N. You may use the transition table for 8.
1
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DFA :
DFA refers to Deterministic Finite Automaton. A Finite Automata(FA) is said to be deterministic if corresponding to an input symbol, there is a single resultant state i.e. there is only one transition.
A DFA can be represented by a 5-tuple (Q, Σ, δ, q0, F) where:
Q: A non-empty finite set of states present in the finite control(qo, q1, q2, …).
Σ: A non-empty finite set of input symbols.
δ: It is a transition function that takes two arguments, a state, and an input symbol, it returns a single state.
qo: It is starting state, one of the states in Q.
F: It is a non-empty set of final states/ accepting states from the set belonging to Q.
2. NFA :
NFA refers to Nondeterministic Finite Automaton. A Finite Automata(FA) is said to be non-deterministic if there is more than one possible transition from one state on the same input symbol.
An NDFA can be represented by a 5-tuple (Q, Σ, δ, q0, F) where:
Q: A set of non-empty finite states.
Σ: A set of non-empty finite input symbols.
δ: It is a transition function that takes a state from Q and an input symbol from and returns a subset of Q.
qo: Initial state of NFA and member of Q.
F: A non-empty set of final states and members of Q.
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