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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > JUNICHI TERUYAMA:
All reports by Author Junichi Teruyama:

TR16-099 | 13th June 2016
Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki, Junichi Teruyama

Bounded Depth Circuits with Weighted Symmetric Gates: Satisfiability, Lower Bounds and Compression

A Boolean function $f: \{0,1\}^n \to \{0,1\}$ is weighted symmetric if there exist a function $g: \mathbb{Z} \to \{0,1\}$ and integers $w_0, w_1, \ldots, w_n$ such that $f(x_1,\ldots,x_n) = g(w_0+\sum_{i=1}^n w_i x_i)$ holds.

In this paper, we present algorithms for the circuit satisfiability problem of bounded depth circuits with AND, ... more >>>


TR15-136 | 28th July 2015
Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki, Junichi Teruyama

A Satisfiability Algorithm for Depth-2 Circuits with a Symmetric Gate at the Top and AND Gates at the Bottom

In this paper, we present a moderately exponential time algorithm for the circuit satisfiability problem of
depth-2 unbounded-fan-in circuits with an arbitrary symmetric gate at the top and AND gates at the bottom.
As a special case, we obtain an algorithm for the maximum satisfiability problem that runs in ... more >>>




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