either φ or ψ
φ ∨ ψ ≃ ¬ (¬ φ ∧ ¬ ψ) at least 1 true—not both false |
▿ |
not both φ and ψ
¬ (φ ∧ ψ) ≃ ¬ φ ∨ ¬ ψ not both true—at least 1 false |
⫫ | ⋈ | ⫫ |
both φ and ψ
φ ∧ ψ ≃ ¬ (¬ φ ∨ ¬ ψ) both true—neither false |
▵ |
neither φ nor ψ
¬ (φ ∨ ψ) ≃ ¬ φ ∧ ¬ ψ neither true—both false |