Proof of `P is closed under complement`

groundedproofs/Lax434930Proofs/ComplementClosure.lean · lax-434930

What this proof establishes

no assumptions

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

In the paper

  • page 4 of this submission's paper

Description

Compose the output-alphabet equivalence with Boolean negation. The same machine execution then computes the complemented answer with the same time bound. Negating the correctness equivalence identifies the complement language.