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Introduction

In my goal to learn about GF(256) I have landed on this course. I am expecting to know most of this but maybe the terminology might be not known.

Logical Statements and Operations

Logical Statements can either be True or False
(a) Mars is a planet (True logical Statement)
(b) Moon is a plant (False logical Statement)
(c) 1+1 = 2 (True logical Statement)
(d) x+1 = 1 (Not logical Statement as we do not knows a value of x)
Logical Operations are
Negation For a logical statement A, ¬A denotes the negation. (¬ This is the NOT symbol)
Conjunction For two logical statements A,B, A∧B denotes conjunction (∧ This is the AND symbol)
Disjunction For two logical statements A,B, A∨B denotes and disjunction (∨ This is the OR symbol)
So they went of to write truth table the statement ¬A∨A
So the truth table is always written with the variable first

  A | ¬A | ¬A∨A
  T |  F | T
  F |  T | T

So in this case all ¬A∨A is a tautology