A {+,x}-circuit counts a given multivariate polynomial f, if its values on 0-1 inputs are the same as those of f; on other inputs the circuit may output arbitrary values. Such a circuit counts the number of monomials of evaluated to 1 by a given 0-1 input vector (with multiplicities ... more >>>

We present the first efficient deterministic algorithm for factoring sparse polynomials that split into multilinear factors.
Our result makes partial progress towards the resolution of the classical question posed by von zur Gathen and Kaltofen in \cite{GathenKaltofen85} to devise an efficient deterministic algorithm for factoring (general) sparse polynomials.
We achieve ... more >>>

Ordered binary decision diagrams (OBDDs) are a popular data structure for Boolean functions.
Some applications work with a restricted variant called complete OBDDs
which is strongly related to nonuniform deterministic finite automata.
One of its complexity measures is the width which has been investigated
in several areas in computer science ... more >>>