Elements of concrete algorithmics: computability and solvability

O.I. Provotar, O.O. Provotar


An approach to proving the fundamental results of the theory of recursive functions using specific algorithms is consider. For this, the basic constructions of the algorithm are describing exactly and Church's thesis for more narrow classes of algorithmically computational functions is specified (concretized). Using this approach, the belonging of functions to classes of algorithmically computable is argued by the construction of the corresponding algorithms.

Problems in programming 2020; 2-3: 198-207


Church thesis; solvability; universal function


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DOI: https://doi.org/10.15407/pp2020.02-03.198


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