MATH 301 – In Class Exercise #2 – Structures
In this exercise you will define all the parts of a structure given a language L and a universe A. There are infinitely many different ways to accomplish this so your structure will probably look quite different from anyone else’s.
Let L = {a, b, c,
f, g, X} be a language with a, b,
and c constant symbols, f a unary function symbol, g a binary function symbol, and X a binary relation symbol. Let the set A = {1, 2, 3, 4}
be the universe of an
Completely define 
so that U is a fully known structure. Then
define a variable assignment function s
from Vars
to A.