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Increasing limits of bounded evaluators — independent controls

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

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    Natural Language Statement

    Theorem

    These statements use only the background axioms. They record the actual behavior or the valid local calculation, independently of the unchecked contract.

    Concept map
    2 concepts
    100%
    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

    This concept declares 2 statements. Each proof establishes one of them relative to its assumptions.

    1 accepted_computable proven

    2 halting_not_computable proven

    Lean source view on GitHub

    1import Lax755887.LimitDecider
    2
    3/-!
    4---
    5title: Increasing limits of bounded evaluators — independent controls
    6type: theorem
    7---
    8These statements use only the background axioms. They record the actual behavior or the valid local calculation, independently of the unchecked contract.
    9-/
    10
    11namespace Lax755887.LimitDeciderControls
    12
    13open Lax755887.LimitDecider
    14
    15open Nat.Partrec (Code)
    16open Nat.Partrec.Code
    17
    18axiom accepted_computable (fuel : ℕ) : ComputablePred (Accepted fuel)
    19
    20axiom halting_not_computable : ¬ ComputablePred (fun c : Code => (eval c 0).Dom)
    21
    22end Lax755887.LimitDeciderControls
    23
    Show ProofShow Proof
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    Used by

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    From Mathlib

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