Lax Lean Archive

Savitch's theorem

Lax434930.PolynomialSpaceEquality · concepts/Lax434930/PolynomialSpaceEquality.lean · lax-434930

proven

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    Natural Language Statement

    Theorem

    The polynomial-space form of Savitch's theorem is PSPACE=NPSPACE\mathrm{PSPACE}=\mathrm{NPSPACE}.

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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

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    In the paper

    • page 5 of this submission's paper

    Lean source view on GitHub

    1import Lax434930.PolynomialSpace
    2import Lax434930.NondeterministicPolynomialSpace
    3
    4/-!
    5---
    6title: Savitch's theorem
    7type: theorem
    8---
    9The polynomial-space form of Savitch's theorem is
    10PSPACE=NPSPACE\mathrm{PSPACE}=\mathrm{NPSPACE}.
    11-/
    12
    13namespace Lax434930.PolynomialSpaceEquality
    14
    15open PolynomialSpace NondeterministicPolynomialSpace
    16
    17axiom PSPACE_eq_NPSPACE : PSPACE = NPSPACE
    18
    19end Lax434930.PolynomialSpaceEquality
    20
    Show Proof
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    From Mathlib

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