Adversaries, Slices, and the Art of Teaching LLMs to Think
A math tutor does not wait until the end of a two-page solution, circle the final answer, and say “wrong.” At least, not a good one. The useful tutor interrupts earlier. This line follows. That parity condition does not. This factorization is legal, but the conclusion you drew from it is not. The feedback is local, not theatrical. It tells the student where the reasoning began to rot, before the final answer becomes merely the visible corpse. ...