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Reusing a one-bit encryption pad — unchecked contract

Lax755887.ReusedKeyContract · concepts/Lax755887/ReusedKeyContract.lean · lax-755887

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    Natural Language Statement

    Theorem

    Equal marginal distributions do not determine a joint distribution. The composition contract deliberately omits a condition on joint randomness.

    This is an intentionally false contract, retained as an open proof obligation.

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    2 concepts
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    Open claimDefinitionThis conceptRelated conceptA → B: B builds on A
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    Lean source view on GitHub

    1import Lax755887.ReusedKey
    2
    3/-!
    4---
    5title: Reusing a one-bit encryption pad — unchecked contract
    6type: theorem
    7---
    8Equal marginal distributions do not determine a joint distribution. The composition contract deliberately omits a condition on joint randomness.
    9
    10This is an intentionally false contract, retained as an open proof obligation.
    11-/
    12
    13namespace Lax755887.ReusedKeyContract
    14
    15open Lax755887.ReusedKey
    16
    17axiom parallel_composition {α β : Type} (X X' : Bool → α) (Y Y' : Bool → β) :
    18 SameLaw X X' → SameLaw Y Y' →
    19 SameLaw (fun k => (X k, Y k)) (fun k => (X' k, Y' k))
    20
    21end Lax755887.ReusedKeyContract
    22
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