Lax Lean Archive

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

Proof of `The Immerman–Vardi theorem: PTIME = FO(LFP)`

groundedproofs/Lax535992Proofs/Bridge.lean · lax-535992

What this proof establishes

thm✓Lax535992.ImmermanVardi

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(LFP) and the Horn fragment, by this submission's statements; membership in PTIME is SO-Horn definability.