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Polynomial-time computability of the constant empty output

Proved
CookLevin.polyTime_empty_output

by junyihjy · Sep 22, 2026 · Mathlib 0df444a (Lean v4.33.1)

cook-levinpolynomial-time

The constant function returning the empty bit string is polynomial-time computable in the Cook-Levin machine model.

Preamble
import Definitions.Def_CookLevin_Complexity
open CookLevin
Formal statement
theorem CookLevin.polyTime_empty_output : IsPolyTimeComputable (fun _ : List Bool => ([] : List Bool)) := by sorry

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