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Termination with abstract stuttering — unchecked contract

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

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    Natural Language Statement

    Theorem

    A concrete step may leave the abstract state unchanged. Abstract well-foundedness does not rule out infinitely many such steps.

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

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

    1import Lax755887.Stuttering
    2
    3/-!
    4---
    5title: Termination with abstract stuttering — unchecked contract
    6type: theorem
    7---
    8A concrete step may leave the abstract state unchanged. Abstract well-foundedness does not rule out infinitely many such steps.
    9
    10This is an intentionally false contract, retained as an open proof obligation.
    11-/
    12
    13namespace Lax755887.StutteringContract
    14
    15open Lax755887.Stuttering
    16
    17axiom termination_transfer {A B : Type} (concrete : A → A → Prop)
    18 (abstract : B → B → Prop) (view : A → B) (terminates : WellFounded abstract)
    19 (simulation : ∀ s t, concrete t s → view t = view s ∨ abstract (view t) (view s)) :
    20 WellFounded concrete
    21
    22end Lax755887.StutteringContract
    23
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