Humans can e ectively navigate through large search spaces, enabling them to solve problems with daunting complexity. This is largely due to an ability to successfully distinguish between relevant and irrelevant actions moves. In this paper we present a new single-agent search pruning technique that is based on a move's in uence. The in uence measure is a crude form of relevance in that it is used to di erentiate between local relevant moves and non-local not relevant moves, with respect to the sequence of moves leading up to the current state. Our pruning technique uses the m previous moves to decide if a move is relevant in the current context and, if not, to cut it o . This technique results in a large reduction in the search e ort required to solve Sokoban problems.