állapotgépen

An állapotgép, often translated as a state machine or finite state automaton (FSA), is a mathematical model of computation used to design and analyze computer programs and digital circuits. It is an abstract machine that can be in exactly one of a finite number of states at any given time. The state machine can change from one state to another in response to some inputs. This change from one state to another is called a transition.

An étatgép consists of a finite set of states, a finite set of input symbols (alphabet), a transition function, a start state, and a set of accept states. The transition function dictates how the machine moves from one state to another based on the current state and the input symbol it receives. The start state is the initial state of the machine when it begins processing input. The accept states, also known as final states, are a subset of all states. If the machine finishes processing an input string and is in an accept state, the string is considered accepted by the automaton; otherwise, it is rejected.

Condition machines are widely used in various fields, including compiler design for lexical analysis, artificial intelligence for modeling behavior, and in the design of sequential logic circuits. They are particularly useful for problems involving sequences of events or recognizing patterns. The simplicity and clear definition of states and transitions make them a fundamental concept in computer science and engineering.