✅ Propositional evaluation function
= a propositional function, which assigns a value of truth over all atomic evaluation functions
Notation
Cheatsheet
Function | true, if |
---|---|
B(⊥) = f | always |
B(¬A) = w | B(A) = f |
B(A ∧ B) = w | B(A) = w and B(B) = w |
B(A ∨ B) = w | B(A) = w or B(B) = w |
B(A → B) = w | B(A) = f or B(B) = w |
B(A ↔ B) = w | B(A) = B(B) |
B(A ≻≺ B) = w | B(A) ≠ B(B) |
📖 Example:
- Assigning a value of truth to the following sentence:
- (A ○ B)
- ○ = any junction
- (A ○ B)