Jan 1, 0001

FLP Theorem

  • Async model
  • Deterministic algo
  • $f\leq1$

04-lec-flp-model.png

Binary consensus-problem: {0, 1}

  • Bivalent: has not chosen 0 or 1
  • Univalent: in any continuation will choose 1 or 0

To prove, that we can travel through only bivalent confighs

L1. Bivalent starting configuration exists

04-lec-flp-l1.png

L2. Bivalent $\longrightarrow$ Bivalent

04-lec-flp-l2-model.png

04-lec-flp-l2-proof.png

  • So, we need assumptions about Time