Signal crossing is a significant problem within von Neumann cellular automata (29-states); only three solutions are known. This paper gives a thorough examination of these three solutions, including discussion of performance and the effective means of construction, including the mechanism of autoinitialisation. Application of these solutions within self-replicators is then examined for Nobili a...

The review is devoted to nonassociative algebras, rings and modules over them. main actual recent trends in this area are described. Works reviewed on radicals rings, algebras related with skew polynomials, commutative their modules, cyclic obtained as extensions, Ore extensions of hom-associative them, von Neumann finiteness for algebras. Furthermore, there outlined them harmonic analysis nonl...

The paper is devoted to local derivations on the algebra S(M, τ) of τ measurable operators affiliated with a von Neumann algebra M and a faithful normal semi-finite trace τ. We prove that every local derivation on S(M, τ) which is continuous in the measure topology, is in fact a derivation. In the particular case of type I von Neumann algebras they all are inner derivations. It is proved that f...

To a real Hilbert space and a one-parameter group of orthogonal transformations we associate a C∗-algebra which admits a free quasi-free state. This construction is a freeprobability analog of the construction of quasi-free states on the CAR and CCR algebras. We show that under certain conditions, our C∗-algebras are simple, and the free quasi-free states are unique. The corresponding von Neuma...

We define five properties of symbol representations (called the Five M's) that together provide a powerful and flexible symbol processing facility. Our ideal symbol structures arc Mobile, Memorable, Meaningful, Malleable, and Modifiable. Conventional symbol processing architectures, such as Lisp on von Neumann machines, support some of these properties, but others seem to require flexibility an...

A very general commentary on the program camex, accompanied by an assortment of experiments which can be performed using the cam/pc board. These include the use of one, two, and three dimensional automata, although the primary utility of the board lies with two dimensional automata evolving on a 256x256 screen. Binary Moore and von Neumann neighborhoods are possible in each of the two half-cam'...

The Birkhoff-von Neumann Theorem has been proved many times in the literature with a number of different methods, some inductive, some constructive, some existential. We offer a new proof that is a little more direct than most, though nonconstructive.

We study a simple variant of the von Neumann model of an expanding economy, in which multiple producers produce goods according to their production function. The players trade their goods at the market and then use the bundles acquired as inputs for the production in the next round. We show that a simple decentralized dynamic, where players update their bids proportionally to how useful the inv...