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An Easy Automata Based Algorithm for Testing Coding Properties of Infinite Sets of (DNA) Words

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Theory and Practice of Natural Computing (TPNC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7505))

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Abstract

Recently a new interest towards the design of efficient algorithms for testing whether a language X is a code, has arisen from (wet) DNA Computing. Indeed, in this context, the final computation is a concatenation of DNA strands (words) that must satisfy some restrictions (DNA properties) to prevent them from interacting in undesirable ways. Efficient algorithms (and implementations) have been designed when X is a finite set. In this paper we provide an algorithm (and a Java implementation) for testing whether an infinite but regular set of words is a code that avoids some unwanted cross hybridizations. The algorithm runs in O(n 2), where n is the sum of the numbers of states and transitions in a finite state automaton recognizing X.

Partially supported by the FARB Project “Automi e Linguaggi Formali: aspetti emergenti e fondazionali” (University of Salerno, 2009-2011), and by the FARB Project “Aspetti emergenti e fondazionali nella teoria degli automi e dei linguaggi formali” (University of Salerno, 2010-2012).

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Cianciulli, M., Zaccagnino, R., Zizza, R. (2012). An Easy Automata Based Algorithm for Testing Coding Properties of Infinite Sets of (DNA) Words. In: Dediu, AH., Martín-Vide, C., Truthe, B. (eds) Theory and Practice of Natural Computing. TPNC 2012. Lecture Notes in Computer Science, vol 7505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33860-1_11

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  • DOI: https://doi.org/10.1007/978-3-642-33860-1_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33859-5

  • Online ISBN: 978-3-642-33860-1

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