Inspector 807,
I hope that I am correct in interpreting your post (please excuse me wanting to make sure that I have the facts).
You are concerned about a slab on ground, that is required to act as a foundation for a load bearing wall. When your slab was poured, it was not constructed to the correct dimensions. In an attempt to correct the error, the contractor has added a narrow strip of concrete beside the slab. This added strip has no structural connection to the main slab, but is the portion on which the load bearing wall will be supported.
If all this is close to your problem, then I would suggest that there is only one acceptable solution.
1. Remove the added strip of concrete entirely - it is of no structural value at all. If this involves a strong argument with the contractor, so be it. Do not under any circumstances accept any other 'dodgy' (or inferior) proposal for repair. If anyone was prepared to do what you described, they should not be trusted to provide quality work anyway.
2. Remove the concrete from the edge of the main slab, sufficiently far to expose the reinforcement and have a proper lap joint (whatever your local building code requires).
3. Extend the main slab reinforcement (with lapped bars and more longitudinal bars) to provide reinforcement for the full width of slab as detailed on your drawings.
4. Re-concrete the slab edge to the proper width.
Depending on the type of reinforcement used, you may be able to reduce the remedial work by using welding to extend the reinforcement, and thus cut back less concrete. However, I would not be too ready to accept welding, given the contractor's behaviour so far.
I hope that this may help.