Consider the following DFA that generates set of strings over $\Sigma=\{a, b, c\}$
Now identify that which of the followings is the best description of the language for the above DFA
$L = \{\text{Set of strings, all having even count (including 0) of substring 'abc'}\}$
The given question involves analyzing a DFA and determining the language it accepts over the alphabet \Sigma = \{a, b, c\}. To solve this, we'll examine the transitions in the DFA provided by the image.
In the DFA provided, the language can be identified by examining its states and transitions:
q0, which is also the accepting state.q0 transitions to itself upon encountering 'b' or 'c'.q1 occurs by reading 'a', transitioning eventually to the further states which form the pattern 'abc'.By following these steps, the DFA essentially allows strings with blocks of 'abc' where:
Considering this, the correct language from the options provided is:
L = \{\text{Set of strings, all having even count (including 0) of substring 'abc'}\}
This clearly matches the behavior and acceptance logic of the presented DFA where the transitions enable it to remove back to the initial state if 'abc' is completed in cycles.
If NFA of 5 states excluding the initial state is converted into DFA, maximum possible number of states for the DFA is?
A Language for which DFA exist is a________
For a DFA accepting binary numbers whose decimal equivalent is divisible by 3, what are all the possible remainders?
Minimum Number of states require to accept string ends with 101.
Consider the DFA given below
Which of the regular expressions given below represents the above DFA ?