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Which of the following statements holds?
Which of the following formulas with parentheses represents ¬x ∨ y ∧ x ∨ ¬y ∧ x ↔ y?
Do the formulas ((¬x ∨ y) ∧ (x ∨ ¬y)) and (x ↔ y) have the same models (i.e., does each assignment that satisfies one formula also satisfy the other) ?
How do the following properties relate?
Which of the following statements hold?
Given the truth table of propositional formula φ over variable a, b, c:
| a | b | c | φ |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Given formula (¬a ∨ b) ∧ (a ∨ ¬b) ∧ (a ∨ b). Which of the following assignments satisfy this formula?
The formula (¬x ∨ y) ∧ (x ∨ ¬y) ∧ x ∧ ¬y
is ...How many models does a contradiction have?
How many models does a tautology have given that 10 different variables occur in the formula?