Difference between NFA and DFA with examples
The video explains the Differences between DFA and NFA:
Description:
DFA: Deterministic Finite Automata is a type FA whereby only one
unique path is possible for any input for a given state.
NFA: Non-Deterministic Finite Automata is a type of FA whereby it
is possible to have many paths for an input on given state.
Backtracking:
DFA: Backtracking is allowed in DFA.
NFA: Backtracking may or may not be allowed in NFA.
Empty String Transition:
DFA: DFA cannot use empty string transition.
NFA: NFA can use empty string transition.
String Rejection:
DFA: DFA reject the string in case the termination state is other
than the accepting state.
NFA: NFA rejects the string only when all branches of the NFA are
dead or do not accept the string.
Description In Terms Of Units:
DFA: A DFA is best explained in the form of one machine and not
as separate units for computing purposes.
NFA: NFA is a collection of multiple little-sized units that are
combined together to perform computational activities.
Construction:
DFA: DFA is more difficult to construct.
NFA: NFA is easier to construct.
Space Requirement:
DFA: DFA requires more space.
NFA: NFA requires little space.
Time Required For Executing and Input string:
DFA: The time needed for executing an input string is less when
compared to NFA
NFA: Time needed for executing an input string is more when
compared to DFA.
Relation:
DFA: All DFA are NFA.
NFA: Not all NFA are DFA
Dead State:
DFA: Dead state may be required.
NFA: Dead state is not required.
Existence:
DFA: NFA actually exists.
NFA: DFA is a theoretical concept.
Derivation:
DFA: NFA is independent.
NFA: DFA is a derivation of NFA.
Ease of Construction:
DFA: NFA is easy to construct.
NFA: DFA is relatively difficult to construct.
Number of Next States:
DFA: Number of next states is one.
NFA: Number of next states can be zero, one, or more.
Transition Function :
DFA: δ: Q × ∑ → Q
NFA: δ: Q × ∑ → 2Q
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