# Automata - State

## About

## Syntax

### Set

Q is the symbol for the set of states

### Start

q is the symbol for the start state.

### State after a serie of transitions

The state that the automaton <math>A</math> is in after processing input <math>w</math> is expressed by the below expression: <MATH>\delta(A,w)</MATH>

where: <math>\delta</math> is a symbol for a transition function

## Property

in one of this state, the automaton will operate:

- final
- accepting

Entering one of these states after a sequence of inputs indicates that the input sequence is good in some way

It is conventional to designate accepting states by a double circle