What if we intentionally remove the soil to a certain depth so that the pressure that the new structure is coming with is smaller than the overburden?

If one applies this principle, the types of foundation that is going to be achieved is called floating( also called buoyancy foundation) , since the building is basically floating like a boat on water.
The disadvantage of such foundations is that, sometimes the excavation depth required is very large and considering basement floor would be inevitable to use the space created below ground floor.
And sometimes basement wouldn't be included and the resulting foundation system would be "cellular raft" .

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