One object of the invention is to provide an electric walking assistance device with which it is possible to prevent a user from falling down, and to provide a program and method for controlling the electric walking assistance device. A power-assisted rollator 100 according to the invention includes a motor 320 powered by a battery 310. A control unit 400 performs an assist control of revolutions of a pair of rear wheels 230 through the motor 320. When it is determined that a rotational acceleration of the pair of rear wheels 230 is equal to or larger than a predetermined value, a speed limiting unit 500 or a control brake unit 700 limits the rotational acceleration of the pair of rear wheels 230.