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Definition 2. Let M be an oriented set and T = (T,≤) be a linearly ordered set. A mapping ψ : T ↦→ 2Bs(M) is referred to as time onM if the following conditions are satisfied: 1. For any elementary state x ∈ Bs(M) there exists an element t ∈ T such that x ∈ ψ(t). 2. If x1, x2 ∈ Bs(M), x2←x1 and x1 ̸= x2, then there exist elements t1, t2 ∈ T such that x1 ∈ ψ (t1), x2 ∈ ψ (t2) and t1 < t2 (this means that there is a temporal separateness of successive unequal elementary states). In this case the elements t ∈ T we call the moments of time.

Necessary and sufficient condition for the existence of the one-point time on an oriented set