This is a survey of using Minsky machines to study algorithmic problems in semigroups, groups and other algebraic systems.
Sapir, M. (2015). Minsky machines and algorithmic problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9300, pp. 273–292). Springer Verlag. https://doi.org/10.1007/978-3-319-23534-9_17