On an Algebraic Classification of Multidimensional Recursively Enumerable Sets Expressible in Formal Arithmetical Systems 1

Seda N. Manukian · Mathematical Problems of Computer Science · 2014

Abstract Algebraic representations of multidimensional recursively enumerable sets which are expressible in formal arithmetical systems based on the 1, are introduced and x , S), where S(x) , S), (0,,), (0,, S,signatures(0, investigated. The equivalence is established between the algebraic and logical representations of multidimensional recursively enumerable sets expressible in the mentioned systems.

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