feat(FLP): develop the theory of pseudo-consensus algorithms that can tolerate up to 1 fault - #755
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ctchou wants to merge 3 commits into
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feat(FLP): develop the theory of pseudo-consensus algorithms that can tolerate up to 1 fault#755ctchou wants to merge 3 commits into
ctchou wants to merge 3 commits into
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fmontesi
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Jul 30, 2026
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This PR develops a theory of pseudo-consensus algorithms that can tolerate up to 1 fault, which is the core of Völzer's argument. The central notion is "non-uniformity": a state
sis non-uniform iff for each boolean valueb, there exists a processpsuch that there is an execution of the algorithm fromsthat ends up deciding onbwithout the participation ofp. Then any algorithm that can tolerate up to 1 fault is proved to have two properties:(1)
nonUniform_inp, which says that there must an initial non-uniform state.(2)
nonUniform_step, which will be shown in the next PR to guarantee that any execution ending in a non-uniform state can be extended to a longer execution ending in a non-uniform state.