In [7] Nash, Remmel, and Vianu have raised the question whether a logic L, already introduced by Gurevich in 1988, captures polynomial time, and they give a reformulation of this ...
Abstract We present an analog and machine-independent algebraic characterization of elementarily computable functions over the real numbers in the sense of recursive analysis: we p...
We characterize the classes of functions computable by uniform log-depth (NC1) and polylog-depth circuit families as closures of a set of base functions. (The former is equivalent...
: The Game of Life cellular automaton is a classical example of a massively parallel collision-based computing device. The automaton exhibits mobile patterns, gliders, and generato...
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether de...