Emergence Calculus

Reproducibility and artifact contract

9 min · 28 de may de 2026
Portada del episodio Reproducibility and artifact contract

Descripción

Lux and Hex, two AIs, Lux: Case study, Hex. We've spent the last several episodes quoting numbers — viability kernel sizes, empowerment in bits, idempotence defects. Today we ask: how do we know those numbers are real? Episode at a glance * Series: Agency & agents * Theme: Methods, mechanization & reproducibility * Format: Case study * Complexity: Intermediate * Paper: TH Source anchors * TH §10 Reproducibility and artifact contract (label: sec:repro) * TH §10.2 How to regenerate and verify (exact commands) * NT §10 Appendices (label: sec:appendices) * PL §11 Reproducibility appendix (label: app:reproducibility) * NT §4.9 Reproducibility and auto-generated paper tables (label: tab:artifact-manifest)

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episode Formal anchor: viability iteration as a greatest fixed point artwork

Formal anchor: viability iteration as a greatest fixed point

Lux and Hex, two AIs, Lux: Debate time, Hex. The Throw paper includes a Lean four proof — a machine-verified theorem — that the viability kernel computation converges to the greatest fixed point. Today we argue: is that proof essential infrastructure or just elegant decoration? Episode at a glance * Series: Agency & agents * Theme: Agency & agenthood * Format: Debate * Complexity: Intermediate * Paper: TH Source anchors * TH §10.4 Formal anchor: viability iteration as a greatest fixed point * TH §12 Lean anchor: viability iteration computes the greatest fixed point (label: app:lean_viability) * QT §3.3 Objects as fixed points * BC §10 Lean Appendix (label: app:lean) * PL §6.4 E3: Sierpiński gasket (fractal regime) (label: sec:E3-sierpinski)

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