Overview of the Paper
Paxos is broken up into three main sections plus appendix
The Problem
The Single-Decree Synod
Deals with the Mathematics for Safety for choosing a single Decree
Multi Decree Parliament
Builds on the Protocol to show how it's repeatable and can build up a safe and progressive state with additional optimizations.
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3.1:Protocol ↗
Outlines how the complete protocol can be used in sequence with leadership.
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3.2:Properties of the Protocol ↗
Goes into detail on the importance of decree ordering and the difficulties of leadership assignment
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3.3:Further Development ↗
See Overview for various optimizations that he proposes in the abstract for further consideration.