Math proofs and derivations

The Mosaic implementation relies on some important system properties and mathematical derivations, available here as PDFs.

In particular, we have:

  1. A proof that an equal collateral ratio between two Troves is maintained throughout a series of liquidations and new trove issuances

  2. A proof that Trove ordering is maintained throughout a series of liquidations and new trove issuances (follows on from Proof 1)

  3. A derivation of a formula and implementation for a highly scalable (O(1) complexity) reward distribution in the Stability Pool, involving compounding and decreasing stakes.

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