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Theory of general linear automata

by: I. Rystsov
Cybernetics and Systems Analysis

X Abstract

Linear and affine automata are considered in their general form. The concept of dimensions of a finite automaton is introduced and finite automata of maximal dimensions are shown to be possible. The state reachability problem in monomial form is proved to be undecidable for two-dimensional affine automata. An analogue of Moore's theorem and theorems on homogenous and diagnostic words are also proved. An application of linear automata to mathematical economics is considered.

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2009-02-22 User spiral
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