Relaxed Memory Model Zoo

Eventual Consistency (basic) (EC)
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Eventual Consistency (basic) EC

2014 · Burckhardt, Gotsman, Yang, Zawirski · theoretical, formal · axiomatic formalism

Basic eventual consistency for replicated data stores, defined axiomatically over abstract executions with visibility and arbitration relations (in analogy to weak shared-memory models) by two axioms: EVENTUAL guarantees an update cannot stay invisible to infinitely many operations on the same object, so if updates stop replicas converge to the same state; THINAIR forbids out-of-thin-air values. Causal (and further sequential/linearizable) consistency are obtained by adding successively stronger ordering axioms (POCV/POCA, then COCV/COCA) on top of it, so eventual consistency is strictly weaker than causal consistency. First given a formal definition in MSR-TR-2013-39 (2013).

Properties

Property vector author-extrapolated — set only where the model’s definition pins the cell down (unknown cells are omitted); cells citing a specific source are marked.

Reasoning guarantees
  • no Coherence
  • yes No out-of-thin-air
Atomicity guarantees
  • no Multicopy atomic

Ordering relationships

Strictly weaker than
  • Per-Object Causal Consistency (PO-Causal) — Burckhardt, Gotsman, Yang & Zawirski, POPL 2014, §7: an execution is per-object causally consistent iff it is eventually consistent (EVENTUAL+THINAIR) AND satisfies the per-object ordering axioms POCV/POCA. Adding those axioms disallows strictly more anomalies (e.g. Fig. 14(b), §3.1), so eventual consistency is strictly weaker than per-object causal consistency.

References