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feat(Distributed): formalize notions of consistency for replicated data types and prove their relationships - #987
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…ta types and prove their relationships
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@SamuelSchlesinger Any further comments? Thanks! |
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I think we can merge this and iterate in future PRs if you'd like.
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This PR formalizes several notions of consistency for replicated data types and proves a hierarchy theorem for them:
Linearizability → SequentialConsistency → CausalConsistency → BasicEventualConsistency
The main reference is the book "Principles of eventual consistency" by Sebastian Burckhardt (which is freely downloadable; see the URL in the reference).
The proofs of
causalVisibility_imp_readMyWritesandcausalVisibility_imp_monotonicReadsare constructed by Claude (Opus 5.5). But all definitions, theorem statements, and comments are human-written.Used Claude (Opus 5.5) to fix proofs after the change of the definition
AbstractExecution.hb.