Problem Set 10 Solutions Due: Monday, May 2 at 9 PM Problem 1. Justify your answers to the following questions about independence. (a)Suppose that you roll a fair die that has six sides, numbered 1, 2, ... 6. Is the event that the number on top is a multiple of independent of the event that the number on top is a multiple of 3?
Unit 2 More about Computer Text 1 Guess What It is Let's begin this unit with a riddle. Try to guess what it is? It is like a tv. but it is not It is a calculator but it is more than a calculator It is not so mysterious, but it is powerful and intelligent When you want to send or receive e-mail
Recursion-breaking an object down into smaller objects of the same typeis a ma- jor theme in mathematics and computer science. For example, in an induction proof we establish the truth of a statement()from the truth of the statement P(n-1). In pro- gramming, a recursive algorithm solves a problem by applying itself to smaller instances
F= = F + “ = ” + 2 Axiom Schemata Axiom Schema 6 x = x. Axiom Schema 7 x = y ⊃ (SzxA ⊃ SzyA) where A is an atomic wff. A first order theory is a first-order theory with equality if it has a binary predicate = such that the wffs above are theorem of the theory
