In DFA, there is only one path for specific input from the current state to the next state. DFA does not accept the null move, i.e., the DFA cannot change state without any input character.
DFA can contain multiple final states
.
What is the maximum number of states a DFA can have?
The maximum number of states is
2n
. Conversion from NFA to DFA is done by subset construction and the number of states of the resulting DFA is in the worst case 2n.
How many DFA can you draw with 4 states?
3 Answers. Initial state is fixed. Now from initial state, transitions for symbols a and b can be to any of the 4 states, so there are
4∗4=24 possibilities
.
How many states must a DFA have?
B Page 6 (a) Draw the state diagram of the DFA of the following language: ∪ B A For full credit, each DFA should have
no more than 8 states
. Common Mistake: The language can accept input strings which have 101, as long as the overall string has an even number of 0s.
Is it possible for a DFA to have no states?
No. A DFA is defined as {Σ, Q, δ, q0, F}, where q0 is the initial state. So the number of states for a DFA is >= 1. A DFA with
no final states rejects every input
, so it’s an automaton that recognizes L=∅.
What is the language of DFA?
A language L is accepted by a DFA < Q , , q0 , , A > , if and only if L = { w | *( q0 , w ) A } . That is, the language accepted by a DFA is
the set of strings accepted by the DFA
.
How many DFA are possible?
Thus total number of DFAs possible : =2×24×4=
128
.
Can DFA have 2 final states?
DFA (Deterministic finite automata) … In DFA, there is only one path for specific input from the current state to the next state. DFA does not accept the null move, i.e., the DFA cannot change state without any input character.
DFA can contain multiple final states
.
Does DFA have memory?
Above: A
DFA requires O(1) memory
, regardless of the length of the input. … No matter how long the input is, a DFA only keeps track of what state it’s currently in, so it only requires a constant amount of memory.
Can a minimal DFA have multiple final states?
In DFA, there is only one path for specific input from the current state to the next state. DFA does not accept the null move, i.e., the DFA cannot change state without any input character.
DFA can contain multiple final states
.
Does every DFA have a final state?
Any class of an
automata can be without a final state
! An automata can be thought as a finite representation of a formal language(that can be infinite set). An automata with the final state(s) is called acceptor. For example, A DFA as acceptor either accepts or reject a string and represents a regular language.
What is a dead state?
Dead State –
A rejecting state that is essentially a dead end
. Once the machine enters a dead state, there is no way for it to reach an accepting state, so we already know that the string is going to be rejected.
What is the minimum number of states a DFA can have?
The minimum number of states is
4
.
Where is DFA used?
DFA uses include
protocol analysis, text parsing, video game character behavior
, security analysis, CPU control units, natural language processing, and speech recognition.
Can a DFA be infinite?
The language accepted by a DFA M with n states
is infinite if and only if M accepts a string of length k
, where n≤k<2n.
