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3 votes
0 answers
90 views

What is $\mathrm{NC}^0$-uniform reduction

I am interesting in strict and ``right'' formulations of results about $\mathrm{NC}^1$-completeness of some languages. Consider for example Barrington's theorem about $\mathrm{NC}^1$-completeness of ...
Alexey Milovanov's user avatar
5 votes
0 answers
105 views

Using epsilon biased sets for circuit lower bounds

I have seen instances of how the technique of epsilon biased sets can be used to construct hard functions against a circuit class - like how in the recent paper of Kane-Williams this was used to ...
gradstudent's user avatar
  • 1,453
10 votes
0 answers
278 views

Depth of bounded fan-in circuits for unbounded fan-in circuits

Assume that we have an unbounded fan-in circuit family of depth $d(n)$ and size $s(n)$. What is the smallest depth (in terms of $d(n)$ and $n$ and $s(n)$) bounded fan-in circuit family of size $poly(...
Kaveh's user avatar
  • 21.8k