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Proof of `Preemption does not help the total weighted completion time` (1st statement)

groundedproofs/Lax434175Proofs/McNaughton.lean · lax-434175

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

Description

McNaughton's theorem (1959, Theorem 4.1): for every bound on the number of machines, the decision version of P∣pmtn∣ΣwjCjP|pmtn|ΣwjCj reduces to that of P∣∣ΣwjCjP||ΣwjCj with the same kernel instance, the same data in every field except interruption (which has no data), and the same threshold.