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Lax554803.ModelEquivalence

Single-tape characterization of P

concepts/Lax554803/ModelEquivalence.lean · lax-554803

proven

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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A

    Evidence

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    Theorem

    The elementary single-tape and stack-machine definitions of P\mathrm{P} coincide. Both simulations include polynomial bounds for input conversion, execution, and final output conversion.

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    1import Lax554803.MachineModels
    2
    3/-!
    4---
    5title: Single-tape characterization of P
    6type: theorem
    7---
    8The elementary single-tape and stack-machine definitions of P\mathrm{P}
    9coincide. Both simulations include polynomial bounds for input conversion,
    10execution, and final output conversion.
    11-/
    12
    13namespace Lax554803.ModelEquivalence
    14
    15open PolynomialTime MachineModels
    16
    17/-- The elementary single-tape and stack definitions give the same class P. -/
    18axiom singleTapeP_eq_P : SingleTapeP = P
    19
    20end Lax554803.ModelEquivalence
    21
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