TransitionEvent 2003-12-02 11:39:50 2006-12-22 14:11:14 Definition % this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here A \emph{transition event} (or simply \emph{event}) on a state set $S$ is an element $e = (s_i, s_j) \in (S\times S)$ of a binary relation on state set $S$ that signifies the transition from one state to another. An event $e$ is defined by a condition function $c(s_i)$ which evaluates a Boolean function in state $s_i$ and by an action function $p$.