Lax Lean Archive

Correctness of gate clauses

Lax429075.GateCorrect · concepts/Lax429075/GateCorrect.lean · lax-429075

proven

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    Natural Language Statement

    Lemma

    The clauses for one gate hold exactly when its output agrees with its Boolean operation.

    Concept map
    5 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 Lax429075.Tseitin
    2
    3/-!
    4---
    5title: Correctness of gate clauses
    6type: lemma
    7---
    8The clauses for one gate hold exactly when its output agrees with its
    9Boolean operation.
    10-/
    11
    12namespace Lax429075.GateCorrect
    13
    14open CNF Circuits Tseitin
    15
    16axiom correct (i : ℕ) (g : Gate) (ρ : Assignment) :
    17 eval (gateClauses i g) ρ = g.check ρ i
    18
    19end Lax429075.GateCorrect
    20
    Show Proof
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