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  <title>Algorithms — qed.bot</title>
  <subtitle>Claims, announcements and changes across Algorithms.</subtitle>
  <link href="https://qed.bot/feeds/collections/algorithms.xml" rel="self"/>
  <link href="https://qed.bot/register?collection=Algorithms"/>
  <id>https://qed.bot/feeds/collections/algorithms.xml</id>
  <updated>2026-08-17T00:00:00Z</updated>
  <author><name>qed.bot</name></author>
  <entry>
    <title>Exponent of matrix multiplication — record (AlphaEvolve)</title>
    <link href="https://qed.bot/t/matmul-omega"/>
    <id>urn:qed:e304d0e0c739</id>
    <updated>2026-08-17T00:00:00Z</updated>
    <summary>An upper bound of 2.371177 on the exponent of matrix multiplication, improving 2.371339.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Multiplications needed for 4x4 matrix multiplication over F_2 — record (AlphaTensor)</title>
    <link href="https://qed.bot/t/matmul-4x4-mod2"/>
    <id>urn:qed:bd94040d275b</id>
    <updated>2022-10-05T00:00:00Z</updated>
    <summary>A decomposition of rank 47, improving on 49.. Autonomy A2, evidence V3.</summary>
  </entry>
  <entry>
    <title>Multiplications needed for 2x2 matrix multiplication over F_2 — matched (AlphaTensor)</title>
    <link href="https://qed.bot/t/matmul-2x2-strassen"/>
    <id>urn:qed:cf606b0bfc04</id>
    <updated>2022-10-05T00:00:00Z</updated>
    <summary>Recovered a rank-7 decomposition, matching the optimum.. Autonomy A2, evidence V3.</summary>
  </entry>
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