ABI Layer 2: prove cost conservation (additivity) + budget compliance — flagship Idris2 proof#32
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Flagship semantic proof: totalCost (xs ++ ys) = totalCost xs + totalCost ys (conservation, by induction), plus a decidable WithinBudget proposition with sound+complete Dec, certifier soundness, and positive + negative controls (an over-budget ledger is provably rejected). Verified with idris2 0.7.0 (build clean, zero warnings) + adversarial rejection. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
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Summary
Raises eclexiaiser's Idris2 ABI to Layer 2 with its first flagship semantic proof. eclexiaiser's headline is adding energy/carbon/resource-cost awareness; the foundational guarantee is that accounting conserves cost. This proves
additivity(totalCost (xs ++ ys) = totalCost xs + totalCost ys, by induction) — accounting neither loses nor invents cost — plusWithinBudgetbudget compliance as a decidable proposition.Mirrors the estate flagship-proof pattern: ledger model, the conservation equality, sound+complete
Dec, certifier proven sound, positive + negative controls.Changes
src/interface/abi/Eclexiaiser/ABI/Semantics.idr—totalCost,additivity,WithinBudget/decWithinBudget,certifyBudgetSound, and negative controlcertifyOverRejects.eclexiaiser-abi.ipkg.RSR Quality Checklist
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As Applicable
Testing
Verified with Idris2 0.7.0:
idris2 --build eclexiaiser-abi.ipkg→ exit 0, zero warnings. Adversarial check: a deliberately-false proof (accepting an over-budget ledger) was rejected.build/removed.🤖 Generated with Claude Code
https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Generated by Claude Code