The Algorithm

Variables:

• d = number of datasets per day

• t = tokens paid per dataset (specific per research project)

• c = computations per dataset (specific per research project)

• T = total supply

• B = daily burn amount

• Z = maximum burn cap

Proposed equation for daily burn calculation:

B = (d × t × sqrt(c)) × (log₁₀(d)/20)

Let us explain how it works:

1. Base Impact: (d × t × sqrt(c))

• This considers your daily operations

• Using sqrt(c) instead of c directly helps flatten the impact of computations

1. Flattening Factor: (log₁₀(d)/20)

• Logarithmic scaling ensures burn rate doesn't grow linearly with dataset volume

• Division by 20 helps control the maximum burn rate

To enforce the maximum burn cap:

1. Track cumulative burned tokens (CB)

2. Before each burn, verify: CB + B ≤ T × Z

3. If the condition fails, adjust B to: B = (T × Z) - CB

This approach creates a self-adjusting system where:

• Burn rate increases sub-linearly with activity

• Higher dataset volumes don't cause excessive burns

• System naturally slows down as it approaches the maximum burn cap

• Daily burns are predictable and manageable

After integrating the cap limit directly into the daily burn calculation to create a single equation that automatically adjusts based on how close we are to the total burn cap the final equation is:

B = min[(d × t × sqrt(c)) × (log₁₀(d)/20), (T × Z - CB) × (1 - CB/(T × Z))]