Topic

Proof assistant soundness

The question of whether a proof checker's implementation admits only valid proofs, covering kernel bugs, type theory design, and the external libraries a kernel trusts.

Current clusters

build2 publishers

Lean's guarantee ends at 8,000 lines of C++ and its dependencies

The Clay Mathematics Institute has the claimed Navier-Stokes solution under review, and a summer of agent-found bugs in Lean's kernel shows how narrow the guarantee a Lean certificate actually gives.

Publishers:lesswrong.comthe-decoder.com

Reality

Evidence62
Adoption60
Hype gap+30
Incentives68
Confidence58