✅ Propositional evaluation function

= a propositional function, which assigns a value of truth over all atomic evaluation functions

Notation

Cheatsheet

Functiontrue, if
B(⊥) = falways
B(¬A) = wB(A) = f
B(A ∧ B) = wB(A) = w and B(B) = w
B(A ∨ B) = wB(A) = w or B(B) = w
B(A → B) = wB(A) = f or B(B) = w
B(A ↔ B) = wB(A) = B(B)
B(A ≻≺ B) = wB(A) ≠ B(B)

📖 Example:

  • Assigning a value of truth to the following sentence: