Minimal Mealy Machines
Explore the process of minimizing Mealy machines by comparing state outputs to identify indistinguishable states. Understand how this approach aligns with DFA state minimization algorithms to efficiently reduce machine complexity.
We'll cover the following...
We'll cover the following...
Minimizing number of states in Mealy machines
We can minimize the number of states in a Mealy machine just as we did for DFAs. The machine below, which prints a for each and a for every other , starting with the first, has one more state than it needs.
An inefficient mealy machine
Since we want the first to emit a and then alternate from there, we can eliminate state and make the initial state.
A minimal version of the Mealy machine shown in the previous figure
No move is needed for ...