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A formal-linguistic approach for solving an entertaining task is made in thispaper. The well-known task of the Hanoi towers is discussed in relation to someconcepts of discrete mathematics. A context-free grammar which generate analgorithm for solving this task is described. A deterministic pushdownautomation which in its work imitates the work of monks in solving the task ofthe Hanoi towers is built.

An Entertaining Example of Using the Concepts of Context-Free Grammar and Pushdown Automation