Well, here's another take on it - as my earlier post assumed (incorrectly) that you had a fully cast-in-place system - while it appears that you have a steel joist system that uses the concrete slab compositely.
In this case, the weight of the joist itself, and the wet concrete, can be successfully carried by the joist itself, with no composite action required. Once the concrete has hardened, then the joist/concrete begin to act compositely and the system is much stiffer. The ultimate strength of the system is based on a full f'c and this limit state is based on a fully loaded floor (100% live load, with factors).
During construction you do not really approach this load level and the floor system engineers may be correctly stating that the dead load of the floor, and subsequent "construction live load" of perhaps 10 to 20 psf will not hurt the concrete as the stresses are low. So the 1000 psi concrete limit may actually work just fine.
The other consideration is the ability of the concrete slab to span between joists - this also should be looked at in addition to the joist/slab beam system.