Exact definition of "Liveness" and "Safety" properties in a consensus?

Exact definition of "Liveness" and "Safety" properties in a consensus?

Two main properties of a consensus are "Liveness" and "Safety".

What are the exact and precised definition of "Liveness" and "Safety" properties in a consensus ?

Are the following definitions correct?

  • Safety: Achieving an agreement on a single state by all participants ?

  • Liveness: Possibility of updating this state with keeping the agreement ?

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