KRF.star_kb
DisprovedKRF.star_kbMilestone statement KRF.star_kb of the arXiv 2412.11855 formalization campaign: see the source reference theorem.
Preamble
/-
Lemma (paper lem:star_kb, appendix proof): 𝕂(M*) = cl(𝕂(M)) for every QA
engine M. This is the defining semantic property of Procedure 1 (Alg 1) — the
task-array construction of the six-part computation. Proof (by induction on
the closure sequence, in the paper's appendix) is out of scope for this stage;
it is the milestone's content.
-/
import Definitions.Def_KRF_Machinery
noncomputable section
open KRFCore
namespace KRF
variable {σD σQ : Sig}Formal statement
theorem star_kb {Q : QueryLanguage σQ} (S : StarContract σD σQ Q) (M : QAEngine σD σQ) :
∀ D φ, KM (S.star M) D φ ↔ Closure Q (KM M) D φ := by
sorry
end KRFSource
arXiv 2412.11855v2 (Zhang, Jiang, Quan)