A secure function evaluation protocol allows two parties to jointly compute a function $f(x,y)$ of their inputs in a manner not leaking more information than necessary. A major result in this field is: ``any function $f$ that can be computed using polynomial resources can be computed securely using polynomial resources'' ... more >>>

Valiant (SIAM Journal on Computing 8, pages 410--421) showed that the
roblem of counting the number of s-t paths in graphs (both in the case
of directed graphs and in the case of undirected graphs) is complete
for #P under polynomial-time one-Turing reductions (namely, some
post-computation is needed to ... more >>>

We prove lower bounds on the number of product gates in bilinear
and quadratic circuits that
compute the product of two $n \times n$ matrices over finite fields.
In particular we obtain the following results:

1. We show that the number of product gates in any bilinear
(or quadratic) ... more >>>