Consider the finite-state automaon A discussed in Example 12.3.1:
a. Find the 0- and 1-equivalence classes of states of A.
b. Draw the transition diagram of , the quotient automaton of A.
Find the equivalence classes of states of .
The transition diagram of a finite state automaton is given as follows.
Arrow in the given graph played vital role in answer selection.
It is required to rind the equivalence classes of states of .
Equivalence classes - Two states are zero equivalent if both are accepting states or both are non-accepting states. Therefore, the equivalence classes are:
Equivalence classes — Two states are equivalent if, and only if they are equivalent and, after input of any symbol, their next state are equivalent
Draw he transition diagram of , the quotient automaton of .
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