ЯсноПонятно24

The function F(A, B, C) can be simplified as follows:

F(A, B, C) = B ⇒ (¬A ∨ B) ∨ (A ∨ ¬В ∧ C)

Using the definition of implication (A ⇒ B is equivalent to ¬A ∨ B), we can rewrite the expression as:

F(A, B, C) = ¬B ∨ ((¬A ∨ B) ∨ (A ∨ ¬В ∧ C))

Using the associative property of logical OR, we can rearrange the expression as:

F(A, B, C) = ¬B ∨ (¬A ∨ B ∨ A ∨ ¬В ∧ C)

Using the idempotent law (A ∨ A = A), we can simplify the expression as:

F(A, B, C) = ¬B ∨ (¬A ∨ B ∨ ¬В ∧ C)

Using the distributive property of logical OR over logical AND, we can further simplify the expression as:

F(A, B, C) = ¬B ∨ (¬A ∨ B ∨ (¬В ∧ C))

Therefore, the simplified form of the function F(A, B, C) is:

F(A, B, C) = ¬B ∨ ¬A ∨ B ∨ (¬В ∧ C)