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)