How to find true assignment and false assignment
1. Determine the variables in the propositional formula and their values: First, make clear the variables in the propositional formula and their possible values (generally 0 or 1).
2. Substitution assignment: substitute each variable into 0 and 1 respectively to calculate the value of the propositional formula.
3. Judging whether it is true or not: If the propositional formula is substituted into the assignment, the value is 1, then the assignment is called true assignment. If the propositional formula is substituted into the assignment and the value is 0, the assignment is called false assignment. For the propositional formula P ∧ Q(P and q), when P= 1, Q= 1, P ∧ Q= 1, so (P= 1) is a true assignment. When P=0 and Q= 1, P ∧ Q=0, so (P=0, Q= 1) is a false assignment.
By traversing all possible combinations of variable values, we can find out all the true and false assignments of propositional formulas. These assignments help us to understand the logical characteristics and behaviors of propositional formulas more deeply.