2.3.3.1. Vector Clock Definition

VC timestamp is an integer vector local to every process

VC(A) < VC(B) ≡ ∀i VC(A)[i] ≤ VC(B)[i] ∧ ∃j VC(A)[j] < VC(B)[j]

VC(A) > VC(B) ≡ ∀i VC(A)[i] ≥ VC(B)[i] ∧ ∃j VC(A)[j] > VC(B)[j]

A ≺ B ⇔ VC(A) < VC(B)

A ≻ B ⇔ VC(A) > VC(B)