Step 1: Thermodynamic Hydrate Inhibitors (THIs) are chemicals used to prevent hydrate formation by either lowering the hydrate formation temperature or shifting the equilibrium pressure.
Step 2: Methanol is commonly used as a THI because it inhibits hydrate formation by reducing the temperature at which hydrates form. Sodium chloride can also act as a THI by lowering the freezing point.
Step 3: Polyvinylpyrrolidone and Sodium Dodecyl Sulphate are not typically used as THIs for hydrate inhibition.
Thus, the correct answer is (A) Sodium Chloride and (B) Methanol.