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The article discusses the importance of studying the notion of algorithm and its formal specification using Turing machines. In the article it was identified the basic hypothesis of the theory of algorithms for Turing as well as reviewed scientific research of modern scientists devoted to this issue and found the main principles of the Turing machine as an abstract mathematical model. The process of forming information competencies components, information culture and students' logical thinkingdoi:10.33407/itlt.v52i2.1365 fatcat:pkxb7wd4ffh4pftb3us4ueif2m