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Questions and Answers
It is easy to construct an ______ than DFA for a given regular language.
NFA
Every ______ is not DFA, but each NFA can be translated into DFA.
NFA
NFA also has five states same as DFA, but with different ______ function.
transition
An NFA can be represented by ______ called state diagram.
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The ______ state is denoted by the double circle.
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The ______ state is marked with an arrow.
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Study Notes
Non-Deterministic Finite Automata (NFA)
- NFA is easier to construct than DFA for a given regular language.
- In NFA, there exist many paths for specific input from the current state to the next state.
- Not every NFA is a DFA, but each NFA can be translated into a DFA.
Definition of NFA
- Defined similarly to DFA, but with two exceptions:
- Contains multiple next states
- Contains ε transition
- NFA has five components: Q (finite set of states), ∑ (finite set of input symbols), q0 (initial state), F (final state), and δ (transition function)
- δ: Q x ∑ → 2Q
Graphical Representation of NFA
- Represented by digraphs called state diagrams
- States are represented by vertices
- Arcs labeled with input characters show transitions
- Initial state is marked with an arrow
- Final state is denoted by a double circle
Examples of NFA
- Example 1: Draw the transition diagram and table of the FA with Q = {q0, q1, q2}, ∑ = {0, 1}, q0 = {q0}, and F = {q2}
- Example 2: Draw the NFA with ∑ = {0, 1} that accepts all strings with 01
- Example 3: Draw the NFA with ∑ = {0, 1} that accepts all strings of length at least 2
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Description
Learn about Non-Deterministic Finite Automata (NFA) in Automata Theory and Formal Languages. Understand the differences between NFA and DFA, and how NFAs can be translated into DFAs. Explore the concept of multiple next states and ε transitions in NFAs.
