Formal Definition
A Moore machine can be defined as 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 a state and the input alphabet to the next state
- an output function (G : S → Λ) mapping each state to the output alphabet
The Moore machine is a finite state transducer.
Read more about this topic: Moore Machine
Famous quotes containing the words formal and/or definition:
“The conviction that the best way to prepare children for a harsh, rapidly changing world is to introduce formal instruction at an early age is wrong. There is simply no evidence to support it, and considerable evidence against it. Starting children early academically has not worked in the past and is not working now.”
—David Elkind (20th century)
“Its a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was mine.”
—Jane Adams (20th century)