Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `FO(≤, IFP) = FO(LFP) = PTIME` (1st statement)

groundedproofs/Lax535992Proofs/Bridge.lean · lax-535992

What this proof establishes

thm✓Lax535992.InflationaryIsLeastFixedPoint (1st statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

The two translations between FO(≤, IFP) and FO(LFP), and the Immerman–Vardi theorem, by this submission's statements.