A source-degenerated Schmitt-trigger logic is proposed. Based on this architecture, basic logic-gate architectures, ring oscillators, and edge-sensitive D-type flip-flops were fabricated using low-voltage p-channel organic thin-film transistors and integrated thin-film carbon resistors on flexible polymeric substrates. Mathematical analysis of this logic architecture indicates improved stability against charge-carrier-mobility degradation. A small-signal gain of 83 dB and a noise margin of 92 % of half the supply voltage have been measured. Owing to the intrinsic positive-feedback loop of the source-degenerated Schmitt-trigger logic, the design of the D-flip-flop enables a substantially smaller footprint and a considerably lower energy dissipation compared to previously reported unipolar organic-TFT-based D-flip-flop architectures.