As described in the main text, participants differed in their interpretation of IF sentences: some participants interpreted IF sentences classically, while others endorsed a simplified conjunctive interpretation. In the main text, we argued that any brain region that is actually relying, at least in some subjects, on the use of a simplified interpretation of IF, should show a modulation of the activation related to IF processing depending of the specific interpretation of IF endorsed. We report this planned analysis in the main text. Here, we report an exploratory analysis on the other two logical connectives (multiple comparison \(\alpha\) = .025): AND and OR. As for IF, we run two independent ANOVAs, with a 3 (Region of Interests, within-subject factor) x 2 (Interpretation of IF, between-subject factor). For AND (Fig. \ref{fig:interaction}) we found that one main effect was significant: the ROI factor (F(2,54) = 19.51, p <.001). By contrast, the interpretation factor (F(2,54) = 4.67, p = .04) and the interaction ROI by interpretation were not significant (F(2,54) = 2.75, p = .072). Also for OR (Fig. \ref{fig:interaction}) we found that only the main effect for the ROI factor was significant (F(2,54) = 23.63, p <.001), while neither the interpretation effect (F(2,54) = .029, p = .86) nor the interaction ROI by interpretation were significant (F(2,54) = 1.86, p = .166).