In the theory of computation, a Moore machine is a finite-state machine whose current output values are determined only by its current state. This is in contrast to a Mealy machine, whose output values are determined both by its current state and by the values of its inputs. Like other finite state machines, in Moore machines, the input typically influences the next state. Thus the input may indirectly influence subsequent outputs, but not the current or immediate output. The Moore machine is named after Edward F. Moore, who presented the concept in a 1956 paper, “Gedanken-experiments on Sequential Machines.”
A Moore machine can be defined as a 6-tuple consisting of the following:
A finite set of states
A start state (also called initial state) which is an element of
A finite set called the input alphabet
A finite set called the output alphabet
A transition function mapping a state and the input alphabet to the next state
An output function mapping each state to the output alphabet
A Moore machine can be regarded as a restricted type of finite-state transducer.
A state transition table is a table listing all the triples in the transition relation .
The state diagram for a Moore machine, or Moore diagram, is a diagram state diagram that associates an output value with each state.
As Moore and Mealy machines are both types of finite-state machines, they are equally expressive: either type can be used to parse a regular language.
The difference between Moore machines and Mealy machines is that in the latter, the output of a transition is determined by the combination of current state and current input ( as the domain of ), as opposed to just the current state ( as the domain of ). When represented as a state diagram,
for a Moore machine, each node (state) is labeled with an output value;
for a Mealy machine, each arc (transition) is labeled with an output value.
Every Moore machine is equivalent to the Mealy machine with the same states and transitions and the output function , which takes each state-input pair and yields , where is 's output function and is 's transition function.
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In the theory of computation, a Mealy machine is a finite-state machine whose output values are determined both by its current state and the current inputs. This is in contrast to a Moore machine, whose output values are determined solely by its current state. A Mealy machine is a deterministic finite-state transducer: for each state and input, at most one transition is possible. The Mealy machine is named after George H. Mealy, who presented the concept in a 1955 paper, "A Method for Synthesizing Sequential Circuits".
In automata theory and sequential logic, a state-transition table is a table showing what state (or states in the case of a nondeterministic finite automaton) a finite-state machine will move to, based on the current state and other inputs. It is essentially a truth table in which the inputs include the current state along with other inputs, and the outputs include the next state along with other outputs. A state-transition table is one of many ways to specify a finite-state machine. Other ways include a state diagram.
A state diagram is a type of diagram used in computer science and related fields to describe the behavior of systems. State diagrams require that the system described is composed of a finite number of states; sometimes, this is indeed the case, while at other times this is a reasonable abstraction. Many forms of state diagrams exist, which differ slightly and have different semantics. State diagrams are used to give an abstract description of the behavior of a system.
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