Memory systems and memory programming methods are described. According to one aspect, a memory system includes program circuitry configured to provide a program signal to a memory cell to program the memory cell from a first memory state to a second memory state, detection circuitry configured to detect the memory cell changing from the first memory state to the second memory state during the provision of the program signal to the memory cell to program the memory cell, and wherein the program circuitry is configured to alter the program signal as a result of the detection and to provide the altered program signal to the memory cell to continue to program the memory cell from the first memory state to the second memory state.