# Diccrete Math problem: finding a proposition given a specific truth table

1. Sep 29, 2012

### nicnicman

1. The problem statement, all variables and given/known data

Find a proposition using only p, q, ¬ and the connective ∧ with the given truth table.

p q ?
T T F
T F F
F T T
F F T

2. Relevant equations

3. The attempt at a solution

There is a systematic way of solving these but this system requires the use of an 'OR'. Is there a systematic way of solving this with only 'ANDs' or do you just keep guessing till you get it right. There must be an easier way!
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution