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łukasiewicz language

RAIRO - Theoretical Informatics and Applications (1)

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The entropy of Łukasiewicz-languages
Ludwig Staiger
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 39 / Issue 4 / October 2005

Published online by Cambridge University Press:

15 October 2005, pp. 621-639

Print publication:

October 2005
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The paper presents an elementary approach for the calculation of the entropy of a class of languages. This approach is based on the consideration of roots of a real polynomial and is also suitable for calculating the Bernoulli measure. The class of languages we consider here is a generalisation of the Łukasiewicz language.