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      "statement": "# Williams: nonuniform ACC circuit lower bounds\n\nProved that NEXP is not contained in polynomial-size nonuniform ACC and established a stronger size lower bound for an exponential-time class using faster satisfiability algorithms.\n\n## Scientific scope\n\nThe record is Williams's sole-author journal paper and its stated circuit classes and uniformity assumptions. It is not a P-versus-NP proof or a lower bound for arbitrary circuits.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nRyan Williams\n\nThe named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.\n\n\n\n## Original sources\n\n- [CiNii record for nonuniform ACC lower bounds](https://cir.nii.ac.jp/crid/1361981470743630976)\n- [Author-hosted journal paper on ACC lower bounds](https://people.csail.mit.edu/rrw/acc-lbs-journal-final.pdf)\n",
      "summary": "Proved that NEXP is not contained in polynomial-size nonuniform ACC and established a stronger size lower bound for an exponential-time class using faster satisfiability algorithms.",
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