OAI/Combinatorics/ContingencyTables/Machines/CachedDecisionSemantics.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Cached completions implement the same outer-profile transition

  1. def OAI.ContingencyTables.SmallGraphProfiles.encodedShortStep line 22
  2. theorem OAI.ContingencyTables.SmallGraphProfiles.cachedDecision_encoded line 27

    Source documentation

    This identity holds for every feasible cached completion, including those not selected by a particular finite random word.

    theorem cachedDecision_encoded (htotal : ∑ i,r i=∑ j,c j) (h : ℕ)
        (x : PaperStates r c) (word : Fin s → Bool) (A : Table (R x) (P x)) :
        cachedDecision (encodedShortStep r c e h x word,tableOutput A)=
          stateCode r c e (completionDecision R P x (decodedCodeProposal r c e x word) A) := by
    …

    Mentions: OAI.ContingencyTables.SmallGraphProfiles.PaperStates, OAI.ContingencyTables.Table, OAI.ContingencyTables.SmallGraphProfiles.encodedShortStep, OAI.ContingencyTables.SmallGraphProfiles.stateCode, OAI.ContingencyTables.SmallGraphProfiles.decodedCodeProposal