Abstract
We analyzed the modern variants of connectionist systems. We singled out the five main variants: cellular automata, neural networks, cellular nonlinear network, computing clusters and Grid. The connectionism is considered as a synthesis of computing parallelism and spatially distributed system. Its description is based on Rummelhart principles. Computability similarities are indicated at least at the application level, i. e. at the level of computational methods in connectionist systems. Nontraditional computing, in particular, within the connectionist systems, requires an expansion of the classical von Neumann computing model, first of all the recognition of its nonabsoluteness. The necessity of transition to higher level of abstraction and elaboration of the term “computation model” are postulated. For the first time the issue of irreducible computation model is raised and its set-theoretic formalization is given. This one assumes five basic sets and five basic relations.
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