Implication table

An implication table is a helpful tool used to make state machines simpler. It helps organize different possible states, or conditions, in a system. The idea is to start by assuming every state can combine with every other state. Then, we look for combinations that cannot work together.

We list all the possible combinations in a table. Next, we remove any combinations that are impossible because the states give different results. We also remove combinations that depend on earlier impossible ones. We keep doing this until no more combinations can be removed. The remaining combinations are the ones that can safely be grouped together, making the state machine easier to understand and use.