Lax Lean Archive

The Immerman–Szelepcsényi theorem

Lax733996.NLcoNL · concepts/Lax733996/NLcoNL.lean · lax-733996

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    Natural Language Statement

    Theorem

    Nondeterministic logarithmic space is closed under complement: NL=coNL\mathrm{NL}=\mathrm{coNL}.

    Concept map
    8 concepts
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    Proven claimDefinitionThis conceptRelated conceptA → B: B builds on A
    Evidence

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    In the paper

    • page 3 of this submission's paper

    Lean source view on GitHub

    1import Lax434930.ComplementClasses
    2
    3/-!
    4---
    5title: The Immerman–Szelepcsényi theorem
    6type: theorem
    7---
    8Nondeterministic logarithmic space is closed under complement:
    9NL=coNL\mathrm{NL}=\mathrm{coNL}.
    10-/
    11
    12namespace Lax733996.NLcoNL
    13
    14open Lax434930.NondeterministicLogarithmicSpace Lax434930.ComplementClasses
    15
    16axiom nl_eq_conl : NL = coNL
    17
    18end Lax733996.NLcoNL
    19
    Show Proof
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