Definition: The word "acyclic" means a set with more than one element that are related to each other in some way. For example, consider the set {a, b} and the set {b, c}. Both sets contain only two elements, a and b, but they are related as follows: b is a subset of a. In this case, b can be considered a member of a, or it can be considered an element of its own right. The word "acyclic" may also be used to describe a situation where something has multiple possible outcomes or interpretations. For example, in a chess game, the position could have multiple possibilities for a pawn move that leads to different outcomes.