Brachman and Levesque, Chapter 3 exercise 1. An exam question may look like this (although obviously not exactly this question) and will be worth Summary: Brachman and Levesque, Chapter 3 exercise 1. An exam question may look like this (although obviously not exactly this question) and will be worth 25 points. Question Consider the following piece of knowledge: Tony, Mike and John belong to the Alpine Club. Every member of the Alpine Club who is not a skier is a mountain climber. Mountain climbers do not like rain, and anyone who does not like snow is not a skier. Mike dislikes whatever Tony likes, and likes whatever Tony dislikes. Tony likes rain and snow. (a) Prove that the given sentences logically entail that there is a member of Alpine Club who is a mountain climber but not a skier. (b) Suppose we had been told that Mike likes whatever Tony dislikes, but we had not been told that Mike dislikes whatever Tony likes. Prove that the resulting set of sentences no longer logically entails that there is a member of Alpine Club who is a mountain climber but not a skier. Answer The answer given during one of the lectures used the following pred- icates and constants: Member unary predicate meaning a member of the Alpine Club Skier unary predicate meaning a skier Climber unary predicate meaning a climber Likes binary predicate where Likes(x, y) means that x likes y Collections: Computer Technologies and Information Sciences