A machine for removing formwork from underneath a concrete slab includes a wheeled base movable on and supported at a support structure, a raisable and lowerable structure disposed on the wheeled base, and a formwork-removal device attached to the raisable and lowerable structure. The formwork-removal device includes (i) an arm extending from the raisable and lowerable structure and (ii) at least one pneumatic gripper disposed at a distal end of the arm. With the raisable and lowerable structure adjusted to position the pneumatic gripper under the formwork and engaged with the formwork, and when the pneumatic gripper is activated, the pneumatic gripper applies a suction to secure the formwork at the pneumatic gripper. With the formwork secured at the pneumatic gripper, and when the pneumatic gripper is lowered, the pneumatic gripper applies a separating force to the formwork to remove the formwork from the concrete slab.