CONTROLLER FOR VEHICLE, CONTROL METHOD FOR VEHICLE, AND MEMORY MEDIUM

A controller for a vehicle is provided. An air supply passage is connected to a portion upstream of a filter in an exhaust passage. An air supplying process supplies air to the filter through an air supply passage by driving an air pump. An oxygen supplying process supplies oxygen to the filter through the exhaust passage, the oxygen having been passed through a combustion chamber of an internal combustion engine. A reducing process sets an air supply amount per unit time in the air supplying process obtained when the oxygen supplying process and the air supplying process are simultaneously executed to be lower than the air supply amount per unit time in the air supplying process obtained when the oxygen supplying process and the air supplying process are not simultaneously executed.