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Valid-time indeterminacy concerns not knowing exactly when a fact holds in the modeled reality. In this paper, we first propose a reference approach (data model and algebra) in which all possible temporal scenarios induced by valid-time indeterminacy can be extensionally modeled. We then specify a family of sixteen more compact representational data models. We demonstrate their correctness with respect to the reference approach and analyze several properties, including their data expressivenessdoi:10.1109/time.2010.15 dblp:conf/time/AnselmaTS10 fatcat:cmdbu6vsrneehh2ip65zs3k4dy