Take a look at the seat lug and the female half of the bolt.
The hole in the seat lug where the bolt goes has a slot cut into it on one side. The female half of the bolt has a small bit of metal that engages the slot on the lug and stops it turning as you tighten up the other side.
That's how it's supposed to work. If your frame doesn't have the slot, and the female end doesn't have the bit of metal, then you need a new bolt with Allen key access on both halves.
Take a look at the seat lug and the female half of the bolt.
The hole in the seat lug where the bolt goes has a slot cut into it on one side. The female half of the bolt has a small bit of metal that engages the slot on the lug and stops it turning as you tighten up the other side.
That's how it's supposed to work. If your frame doesn't have the slot, and the female end doesn't have the bit of metal, then you need a new bolt with Allen key access on both halves.
Hope I've made it clear.