We study intervals I(A) of partial clones whose total functions constitute a (total) clone A. In the Boolean case, we provide a complete classification of such intervals (accordin...
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
—We prove new lower bounds in the area of property testing of boolean functions. Specifically, we study the problem of testing whether a boolean function f is isomorphic to a ...
Abstract—This paper investigates threshold based neural networks for periodic symmetric Boolean functions and some related operations. It is shown that any n-input variable perio...
Abstract. We consider a simple model of higher order, functional computations over the booleans. Then, we enrich the model in order to encompass non-termination and unrecoverable e...