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    2004
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    Matrix identities and the pigeonhole principle
    13 years 11 months ago
    Matrix identities and the pigeonhole principle
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    We show that short bounded-depth Frege proofs of matrix identities, such as P Q = I QP = I (over the field of two elements), imply short bounded-depth Frege proofs of the pigeonho...
    Michael Soltys, Alasdair Urquhart
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