Abstract
The concept of well quasi-order is a generalization of the classical notion of well order and plays a role in the studying of several problems of Mathematics and Theoretical Computer Science. This paper concerns some applications of well quasi-orders to Formal Language Theory. In particular, we present a survey of classical and recent results, based upon such structures, concerning context-free and regular languages. We also focus our attention to some application of well quasi-orders in the studying of languages obtained by using the operators of shuffle and iterated shuffle of finite languages.
The first author acknowledges the partial support of “fundings “Facoltà di Scienze MM. FF. NN. 2006” of the University of Rome “La Sapienza”.
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D’Alessandro, F., Varricchio, S. (2008). Well Quasi-orders in Formal Language Theory. In: Ito, M., Toyama, M. (eds) Developments in Language Theory. DLT 2008. Lecture Notes in Computer Science, vol 5257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85780-8_6
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DOI: https://doi.org/10.1007/978-3-540-85780-8_6
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