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Superpolynomial Lower Bounds for Monotone Span Programs

✍ Scribed by László Babai; Anna Gál; Avi Wigderson

Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
290 KB
Volume
19
Category
Article
ISSN
0209-9683

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✍ Jaikumar Radhakrishnan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 670 KB

We show that every monotone formula that computes the threshold function TH k, n , 2 k nÂ2, has size at least wkÂ2x n log(nÂ(k&1)). The same lower bound is shown to hold in the stronger monotone directed contact networks model.