In this paper, we address the problem of evaluating the
Integer Circuit (IC), or the $\{\cup, \times, +\}$-circuit over
the set of natural numbers. The problem is a natural extension
to the integer expression by Stockmeyer and Mayer, and is also studied
by Mckenzie, Vollmer and Wagner in ... more >>>

We investigate the computational complexity of balance problems for $\{-,\cdot\}$-circuits
computing finite sets of natural numbers. These problems naturally build on problems for integer
expressions and integer circuits studied by Stockmeyer and Meyer (1973),
McKenzie and Wagner (2007),
and Glaßer et al (2010).

Our work shows that the ... more >>>