Formal Definition
A Mealy machine is a 6-tuple, (S, S0, Σ, Λ, T, G), consisting of the following:
- a finite set of states (S)
- a start state (also called initial state) S0 which is an element of (S)
- a finite set called the input alphabet (Σ)
- a finite set called the output alphabet (Λ)
- a transition function (T : S × Σ → S) mapping pairs of a state and an input symbol to the corresponding next state.
- an output function (G : S × Σ → Λ) mapping pairs of a state and an input symbol to the corresponding output symbol.
In some formulations, the transition and output functions are coalesced into a single function (T : S × Σ → S × Λ).
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