CS 462 Homework #3. Deadline: April 15, 2003 Problem 1: AIMA, page 180 / 6.3 MODIFIED -- use Wang algorithm to prove if a formula is valid, satisfiable or unsatisfiable. Explain how you destinguish between a formula being satisfiable and unsatisfiable when using Wang algorithm. Problem 2: AIMA, page 181 / 6.10 Problem 3: AIMA, page 182 / 6.12 Note: No code is required. Prove it by hand and submit a step-by-step proof of the solution clearly showing which inference rule was used at each step and what assumptions were made.