Blowback guns rely on case momentum pushing against a slide or bolt. Examples - Makarov, Ruger Mk II, or most other low-power autopistols. In a blowback gun, the barrel is fixed to the frame and the breech is not locked.
Recoil guns use the momentum imparted to the barrel, which moves backwards, taking a slide or bolt with it. When the barrel reaches the limit of its rearward travel, the slide or bolt unlocks and continues rearward. Examples: 1911, Glock 19, Beretta 92.
In a recoil gun, the barrel moves and the breech is locked.
Gas guns rely on propellant gas passing through a small port and driving a piston which pushes a bolt carrier to the rear. The bolt carrier has a cam of some sort to rotate or tilt the bolt in and out of lockup. Examples: Desert Eagle, Wildey. In a gas gun, the barrel is fixed and the breech is locked.
Delayed blowback guns rely on case momentum as do blowback guns, but the slide or bolt must overcome mechanical disadvantage before moving to the rear, as opposed to plain blowback in which only the mass of the slide/bolt and the stiffness of a spring resist movement to the rear. Examples: some H&K model whose designation I can't recall at the moment. The G3 rifle is delayed blowback. In a delayed blowback gun, the barrel is fixed and the breech is locked.
Gas-retarded guns rely on case momentum as do blowback guns, but propellant gas passes through a port and resists the rearward motion of a piston connected to the slide. Examples: HK P7, the AMT .22 Mag pistol. In a gas-retarded gun, the barrel is fixed and the breech is not locked.