OAI/Combinatorics/ContingencyTables/Dense/DenseTrialSemantics.lean
8 declarations, 0 contain sorry, 0 declared as axioms
The complete trial program uses the manuscript's finite-bit experiment
- def
OAI.ContingencyTables.DensePrograms.trialInputline 15 - lemma
OAI.ContingencyTables.DensePrograms.flatToGridData_codeline 19 - lemma
OAI.ContingencyTables.DensePrograms.trialGrid_codeline 27 - lemma
OAI.ContingencyTables.DensePrograms.trialOffsets_codeline 44 - theorem
OAI.ContingencyTables.DensePrograms.trialCompletion_codeline 62 - def
OAI.ContingencyTables.DensePrograms.tableOutputline 77 - lemma
OAI.ContingencyTables.DensePrograms.acceptCompletion_trialFreeline 82 - theorem
OAI.ContingencyTables.DensePrograms.denseTrialCode_eqline 102Source documentation
The physical binary program returns exactly the successful table of the declared finite Boolean experiment, with the same rejection event.
theorem denseTrialCode_eq {m n d : ℕ} (R : Option (Fin m) → ℕ) (P : Option (Fin n) → ℕ) (hd : 14 ≤ d) (hR : ∀ i,d^12 ≤ R i) (hP : ∀ j,d^12 ≤ P j) (htotal : ∑ i,R i=∑ j,P j) (h : ℕ) (a : Grid (I := Fin (m*n)) (4*d^8)) …