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Equations in the Partial Semigroup of Words with Overlapping Products

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Languages Alive

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7300))

Abstract

We consider an overlapping product of words as a partial operation where the product of two words is defined when the former ends with the same letter as the latter starts, and in this case the product is obtained by merging these two occurrences of letters, for example aba ∙ ab = abab. Some basic results on equations of words are established by reducing them to corresponding results of ordinary word equations.

Supported by the Academy of Finland under the grant 121419.

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Huova, M., Karhumäki, J. (2012). Equations in the Partial Semigroup of Words with Overlapping Products. In: Bordihn, H., Kutrib, M., Truthe, B. (eds) Languages Alive. Lecture Notes in Computer Science, vol 7300. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31644-9_7

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  • DOI: https://doi.org/10.1007/978-3-642-31644-9_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31643-2

  • Online ISBN: 978-3-642-31644-9

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