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Brewer's Conjecture and the Feasibility of Consistent, Available, Partition-Tolerant Web Services

Three words given definitions precise enough to prove they are incompatible - and a proof short enough to hold in your head.

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Twelve pages, one theorem, and a two-paragraph proof that almost nobody who cites it has read. What it proves is real, narrow, and useful. What it is used for - a three-way menu you pick two items from - is not in the paper, is not implied by it, and was disowned by the person whose conjecture it was inside a decade.

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Read the original for the full argument and its evidence.