Homework 3 Problem 1 Suppose pixyl means 'x likes y" in the domain of people. Translate the following predicate logic statement to a simple English sentence: Vx ? 32 ply.x) piz.x)^{2}] Avoid using the variable names (xy.) in your sentence. We used yuz to mean y is equal to z. So the negation means y and z are different people. Homework 3 Problem 2 Translate into predicate logic using pixy) for "X likes y "There is someone who likes anyone who likes themselves." Hint: Use the connective-> Homework 3 Problem 3 Let p(x) mean x is even and f) meanix?ix squared) in in the domain of integers. Express in predicate logic "f the square of an integer is even then the original number is even Here are quantifiers you can copy paste: v 3 (Only one of these is needed.)