Math proofs and derivations
The Mosaic implementation relies on some important system properties and mathematical derivations, available here as PDFs.
In particular, we have:
A proof that an equal collateral ratio between two Troves is maintained throughout a series of liquidations and new trove issuances
A proof that Trove ordering is maintained throughout a series of liquidations and new trove issuances (follows on from Proof 1)
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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