CMPU-145 Spring, 2019
Homework: Due Tuesday, 2/26.

1. Consider A to be the set of all (living) people. Let R be the relation
	on A that is defined by a and b have the same birthday. Show that R is
	an equivalence relation on A.
	
2. Just recently, I was looking at a testcase at work that failed. A file with
	the name STATEFULONE had to be found in a table, but STATEFULABC was found
	instead. It turns out that only the first 8 characters of the name was 
	stored in the table. Essentially, these two files had the same name since
	the remaining characters were not stored in the table. Let A be the set of
	all alphabetic file names (i.e. no numbers, symbols, whitespace). 
	Let R be the relation on A that is defined by a and b such that the first 
	8 characters of a are the same as the first 8 characters of b. Show that R
	is an equivalence relation.
	
3.  Nothing to hand in for this one, but download and run the Cartesian Product
	implementation in Lab 2. Make sure you understand what the code is doing and
	be prepared to ask questions about it if something is not making sense to you.
	We will be using this function soon.