a heterogeneous reflective tower the meta level is an LLM

LCF checks theorem construction; climber checks theory construction

LCF checks theorem construction; reviser checks belief revision

A Rational Defense of Reasonable Reflection (LICS'26 Keynote)

β is a refinement, not an equivalence, under reflection

EURISKO-inspired reflection, LCF-style trust — a fixed-gate verified discovery system in Lean 4

a calculator whose class of admissible total functions grows with proofs

The Löbian obstacle to self-modifying systems, as Lean 4 theorems

a verified reflective tower inspired by Black

from ⊤ to proof: the program wasn’t rewritten; it was understood.

SC Mini is a "minimal" positive supercompiler (fork with sound LLM rewrites)

a verified reflective tower inspired by Black and CakeML

Climber checks theory construction; defeater checks theory qualification.

A system that improves creates new things worth protecting, so its gate must be able to improve with it — this artifact is the proof that it can, safely, at every depth.

a verified reflective tower inspired by Black and CakeML, the mix of grey and green

reflective tower with verified conservative extensions (a simplification of lean-sage)