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

DOI: 10.4236/ojdm.2012.23020   PDF   HTML   XML   3,187 Downloads   6,309 Views  

Abstract

A formal-linguistic approach for solving an entertaining task is offered in this paper. The well-known task of the Hanoi towers is discussed in relation to some concepts of formal languages and grammars. A context-free grammar which generates an algorithm for solving this task is described. A deterministic pushdown automation which in its work imitates the work of monks in solving the task of the Hanoi towers is built.

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K. Yordzhev, "An Entertaining Example of Using the Concepts of Context-Free Grammar and Pushdown Automation," Open Journal of Discrete Mathematics, Vol. 2 No. 3, 2012, pp. 105-108. doi: 10.4236/ojdm.2012.23020.

Conflicts of Interest

The authors declare no conflicts of interest.

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