Physical unclonable functions (PUFs) are promising hardware security primitives suitable for protecting resource-constrained devices. In this paper, we propose to use multiple-valued logic (MVL) for implementing hardware-efficient PUF integrated circuits. We show that by extracting device mismatch in either currentmode or voltage-mode MVL comparators, the proposed PUF circuits can generate unique and reliable chip identifiers. In order to stabilize PUF responses, we utilize multiple thresholds of MVL comparators, whose outputs are selected and combined according to the sensed temperature. To reduce power and further enhance reliability, the PUF circuits are biased in the weak-inversion region. Evaluation results show that the proposed MVL-PUFs are unique and reliable over a wide temperature range. In addition, they significantly improve the energy efficiency of the state-of-the-art PUFs.MVL-PUFS: MULTIPLE-VALUED LOGIC PHYSICAL UNCLONABLE FUNCTIONS 293 counterfeit compared with memories. A strong PUF can accept many challenges [12]. The arbiter PUF is an example of Strong PUFs. Strong PUFs can be used for challenge-response authentication. In this paper, we focus on implementing weak PUFs that have one input challenge.Multiple-valued logic (MVL) circuits, which employ more than two levels of signals have been studied for many decades. For examples, ternary and quaternary-valued logics are the most widely used MVL circuits, which are based on radix three and four, respectively. CMOS MVL circuits offer many opportunities for the improvement of very-large-scale integration designs [13]. For instance, MVL circuits have matured to the point where quaternary-valued logic have been parts of commercial very-large-scale integration chips since the early 1980s [14]. Moreover, a variety of currentmode and voltage-mode MVL circuits, including arithmetic circuits, memories, threshold detectors, latches, encoders/decoders, and analog-to-digital converters, have been proposed in academic literature [15][16][17][18][19]. Under a low supply voltage, most current-mode MVL circuits have better noise performance compared with their voltage-mode counterparts. On the other hand, current-mode MVL circuits that employ static current mirrors usually have higher power consumption [16].In this paper, we explore energy-efficient and reliable PUF architectures by employing MVL comparators that are optimized for low power consumption and high sensitivity to process variations. To our best knowledge, no PUFs employing MVL circuits have been proposed until now. This paper has the following contributions: M A1 , M A3 M A2 , M A4 M B1 , M B3 M B2 , M B4 M C1 , M C3 M C2 , M C4 are the width of transistors. Figure 5(a) shows the