With the exception of Moortgat (1978) and Halmøy (1982 and 2003), the French gerund of the type Paul a fait une erreur en se mariant has not been recognized in grammars or in works on -ant forms, even though it is extremely common. We propose here to use the analysis given by Halmøy in his typology of gerund constructions. After highlighting the positive and negative points of her approach, we will try to show that these gerunds, which are not “like the others”, are not (partial) equivalence or inclusion gerunds, but processual specification gerunds.