The development of executive function (EF) in autism spectrum disorder (ASD) has been investigated using only "cool"-cognitive EF tasks while there is limited knowledge regarding the development of "hot"-affective EF. Although cool EF development and its links to theory of mind (ToM) have been widely examined, understanding of the influence of hot EF to ToM mechanisms is minimal. The present study introduced a longitudinal design to examine the developmental changes in cool and hot EF of children with ASD (n = 45) and matched (to age and IQ) controls (n = 37) as well as the impact of EF on ToM development over a school year. For children with ASD, although selective cool (working memory and inhibition) and hot (affective decision making) EF domains presented age-related improvements, they never reached the performance level of the control group. Early cool working memory predicted later ToM in both groups but early hot delay discounting predicted later ToM only in the ASD group. No evidence was found for the reverse pattern (early ToM predicting later EF). These findings suggest that improvements in some EF aspects are evident in school age in ASD and highlight the crucial role that both cool and hot EF play in ToM development.

The development of executive function (EF) in autism spectrum disorder (ASD) has only been investigated using "cool"-cognitive-EF tasks. Little is known about the development of "hot"-affective-EF and whether it follows a similar developmental pathway. This study employed a cross-sectional developmental trajectories approach to examine the developmental changes in cool (working memory, inhibition, and planning) and hot EF (delay discounting and affective decision-making) of ASD participants (n = 79) and controls (n = 91) relative to age and IQ, shedding more light on the hot-cool EF organization. The developmental trajectories of some aspects of cool EF (working memory and planning) differed significantly as a function of age in ASD participants relative to controls. For both hot EFs, no significant age-related changes were found in either group. These findings extend our understanding regarding the maturation of EF from childhood through adolescence in ASD.

Previous research has clearly demonstrated that Autism Spectrum Disorder (ASD) involves deficits in multiple neuropsychological functions, such as Executive Function (EF) and Theory of Mind (ToM). A conceptual distinction is commonly made between cool and hot EF. In ASD, continued attention has been paid to the cool areas of executive dysfunction. Cool EF has been strongly related to ToM but research has not taken into account the association between hot EF and ToM in ASD. The present study investigates the associations between hot and cool EF and ToM in 56 school-aged children with ASD and 69 controls on tasks tapping cool EF (i.e. working memory, inhibition, planning), hot EF (i.e. affective decision making, delay discounting), and ToM (i.e. mental state/ emotion recognition and false belief). Significant group differences in each EF measure support an executive dysfunction in both domains in ASD. Strong associations between delay discounting and ToM mental state/ emotion recognition are reported suggesting that hot EF makes a unique contribution to ToM above and beyond cool EF in typical development and ASD. This study improves understanding of the profile of higher-order cognitive deficits in children with ASD, which may inform diagnosis and intervention.

These findings suggest that EF and ToM are still associated in middle childhood and EF may be a crucial predictor of ToM across childhood in ASD. Implications are discussed regarding the social-cognitive impairment relationship in ASD.