Logical language of description of polynomial computing

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Abstract

An expansion of the term concept and, accordingly, the formula due to new operators were constructed. These extensions of the language preserve the expressiveness of S-formulas, and at the level of D0-formulas and terms, they ensure the polynomiality of algorithms for calculating the value of a term and the truth of a D0-formula.

About the authors

S. S. Goncharov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Author for correspondence.
Email: s.s.goncharov@math.nsc.ru

Academician of the RAS 

Russian Federation, 4, Acad. Koptyug prospect, Novosibirsk, 630090

D. I. Sviridenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Email: dsviridenko47@gmail.com
Russian Federation, 4, Acad. Koptyug prospect, Novosibirsk, 630090

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