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This paper shows how the analysis of the Dutch aspectual infinitives in Van Eynde (2025) can be modeled in Head-driven Phrase Structure Grammar (HPSG), see Pollard & Sag (1994) and Müller et al. (2021). After giving some motivation for formalization and for the choice of HPSG, we provide a summary of Van Eynde (2025) and an introduction to the HPSG framework. The core of the article presents a formal analysis, first of the progressive aan het-infinitive, then of its ingressive counterpart, and finally of the prospective op- and the absentive uit-infinitives. The resulting analysis captures both what the aspectual infinitives have in common and what differentiates them in a non-redundant manner.