Eventstructuremodelsoftenhavesomeconstraintwhichensuresthatforeachsystemrunitisclearwhatarethecausalpredecessorsofanevent(i.e. there is no causal ambiguity). In this contribution we study whathappens if we remove such constraints. We de ne ve di erent partialordersemanticsthatareintentionalinthesensethattheyrefertosyn-tacticaspectsofthemodel. Wealsode neanobservationalpartialordersemantics,thatderivesapartialorderfromjusttheeventtraces.Itappearsthatthiscorrespondstotheso-calledearlyintentionalse-mantics;theotherintentionalsemanticscannotbeobservationallycharac-terized. Westudytheequivalencesinducedbythedi erentpartialorderde nitions,andtheirinterrelations.