“…The temporal ontology, on which the logical formalism introduced in Cotofrei & Stoffel (2004;2005) was constructed, is represented by linearly ordered discrete instants. Syntactically, all the terms and formulae are defined over a restricted first-order temporal language L containing constant symbols, n-ary function symbols, variable symbols {y 1 , y 2 , ...}, n-ary predicate symbols (n ≥ 1), the set of relational symbols {=, <, ≤, >, ≥}, the logical connective ∧ and a temporal connective of the form ∇ k , k ∈ Z,wherek strictly positive means after k time instants, k strictly negative means before k time instant and k = 0meansnow.…”