A method for obtaining lower bounds on the contact circuit complexity of explicitly defined Boolean functions is given. It appears as one of possible ...
This work presents some initial ideas of a new lower bound technique which captures, in a strong way, the structure of optimal circuits, and demonstrates ...
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We use this information-theoretic notion to obtain a general method for formula size lower bounds. This method can be applied to low-complexity functions ...
Apr 21, 2024 · Circuit complexity, defined as the minimum circuit size required for implementing a particular Boolean computation, is a foundational ...
Sep 22, 2009 · A look at an idea I had had for getting round the Razborov-Rudich obstacle to proving lower bounds in computational complexity.
Mar 27, 2019 · It might be the case that every problem in BPP can be solved with O(log(n)) bits of entropy which I think would lead to a proof that P=BPP. On ...
In this thesis, the method of graph entropy is applied to show better lower bounds for monotone formulas computing threshold functions. It is also shown that ...
This mismatch between threshold and neuronal circuits is due to the partic- ular complexity measures (circuit size and circuit depth) that have been minimized ...
Apr 30, 2002 · It directly gives a lower bound on the formula size of a Boolean function in terms of its cost. We find that for monotone formulae graph entropy.
Entropy of contact circuits and lower bounds on their complexity. SP Jukna. Theoretical Computer Science 57 (1), 113-129, 1988. 54, 1988. On covering graphs by ...