Abstract
A review of investigations on the development of algebraic foundations of algorithmics is given. Results connected with the solution of the problem of functional completeness of a Kleene algebra generalization are considered. These results reflect recent advances in the investigation of algorithmic metaalgebras associated with well-known methods of design of algorithms and programs.
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Tseitlin, G.E. The Problem of Functional Completeness of Metaalgebras of Regular Events. Cybernetics and Systems Analysis 36, 802–812 (2000). https://doi.org/10.1023/A:1009497008248
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DOI: https://doi.org/10.1023/A:1009497008248