I would say any airgun that self cocks and self loads the chamber between pulls of the trigger would be a semi auto .
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Sounds like a Huben would be just fine :>)A little off topic, but since it has already been mentioned...
In the UK, due to very strict gun laws, there is one more category for semi-autos, "self-indexing guns", which is mainly the same as "self-loading" guns, but the difference being that "self-loading" guns will automatically cock the action and have a new projectile mechanically pushed from the magazine into the chamber of the barrel. A "self-indexing" gun will automatically cock the action and index the magazine after each pull of the trigger, but the projectile stays in the magazine and is shot directly from the magazine when the trigger is pulled. And because there's no chamber that is automatically loaded, it's not defined as a self-loading gun.
Probably a glitch in the drafting of the law, but never the less, a semi-automatic gun that shoots the pellet directly from the magazine is within the law, and a semi-automatic gun that shoots the pellet from a chambered barrel is outside the law.