HW1 - CSE 20: Discrete Mathematics Spring 2010 Problem Set...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: CSE 20: Discrete Mathematics Spring 2010 Problem Set 1 Instructor: Daniele Micciancio Due on: Thu. April 8, 2010 Problem 1 (6 points) Write down a parenthesized version of each of the following boolean formulas according to the standard precedence rules of boolean algebra: 1. P Q P R 2. P Q R S P Q 3. A B C D A Problem 2 (10 points) For each of the following pairs of propositional formulas, determine if they are equivalent or not using the truth table method. Your solution should include (for each equivalence) the corresponding truth table and a brief sentence stating if the given equivalence is valid (or not) and why. 1. ( A B ) ( A B ) B 2. ( A B ) ( B C ) ( C A ) A Problem 3 (10 points) Complete the following proof of the equivalence ( q r ) r q r justifying each line with the name of the algebraic rule applied to it, and underlining the subformula the rule has been applied to. (As an example, the answer for the first step if provided.) You can use any rule from Theorem 2 from the textbookexample, the answer for the first step if provided....
View Full Document

This note was uploaded on 09/24/2011 for the course CSE 20 taught by Professor Foster during the Fall '08 term at UCSD.

Page1 / 2

HW1 - CSE 20: Discrete Mathematics Spring 2010 Problem Set...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online