The transitive inference (TI) task facilitates the examination of decision-making processes by tapping into a mental schema formed from previously acquired knowledge. In this task, individuals initially learn the ordinal relationships between pairs of adjacent rank-ordered items in the hierarchy, such as A>B>C>D>E, and E>F. Subsequently, they must infer the relationships between novel item pairs (e.g., DvsE) during a test phase. In the process of making these comparisons, a Symbolic Distance (SD) effect emerges, influencing performance. Accuracy increases and reaction times decrease as the difference between paired item ranks grows. Studies in monkeys using electrophysiology have provided insights into the role of the dorsal premotor cortex (PMd) in influencing this behavioral effect, demonstrating modulation of spiking activity. This suggests the area's role in computing the cognitive variables necessary for decision-making. To explore this hypothesis further, we investigated the interplay between slow (theta: 4-7.5 Hz; alpha: 8-13 Hz; beta 16-26 Hz) and high gamma (70-120 Hz; a proxy of neural spiking) oscillations in the neural activity of this region through intracortical recording. Results revealed an early selective synchronization of lower frequencies followed by a late desynchronization coupled with a synchronization of high gamma. The interplay between low and high gamma frequencies resulted modulated by the SD. These findings provide support for the PMd’s role in constructing mental schemas. Additionally, the interaction between lower and higher-frequency oscillations suggests a dynamic interplay between bottom-up sensory processing and top-down cognitive control mechanisms in TI tasks.