Designing a Carry lookahead unit using EEPROMs, creates oscillator
No, it is not going to oscillate if you design it correctly. For example, C4 depends only A[0:3], B[0:3], and the carry input. If those inputs are stable then the value of C4 should become stable and not change, regardless of what happens to the other inputs to the CLU. Sometime later C8 will become stable, then C12 will become stable, and finally C16 will become stable.