Lax Lean Archive

Correctness of nonreachability certificates

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

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    Natural Language Statement

    Lemma

    A valid sequence of counts and a final census omitting the target exist exactly when the target is unreachable from the source.

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

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    In the paper

    • page 2 of this submission's paper

    Lean source view on GitHub

    1import Lax733996.Counting
    2
    3/-!
    4---
    5title: Correctness of nonreachability certificates
    6type: lemma
    7---
    8A valid sequence of counts and a final census omitting the target exist
    9exactly when the target is unreachable from the source.
    10-/
    11
    12namespace Lax733996.Nonreachability
    13
    14open Lax733996.Reachability Counting
    15
    16axiom correct {N : ℕ} (G : Graph N) (a b : Fin N) :
    17 NonreachCertificate G a b ↔ ¬ Reachable G a b
    18
    19end Lax733996.Nonreachability
    20
    Show Proof
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