Title
The Ambiguity of Morphisms in Free Monoids and its Impact on Algorithmic Properties of Pattern Languages,Used
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his book systematically discusses a basic problem in combinatorics on words: the ambiguity of morphisms, i. e. the question of whether, for any finite string s and any given morphism h, there is another morphism g satisfying g(s)=h(s). These studies yield a characterisation of those strings for which there exists an unambiguous morphism; furthermore, they lead to various insights into the ambiguity of important selected example morphisms. Additional considerations are concerned with the ambiguity of socalled terminalpreserving morphisms. Due to its fundamental nature, the ambiguity of morphisms shows strong connections to other topics in discrete mathematics and computer science such as pattern inference and equality sets; in particular, it is significantly related to various properties of Epattern languages. Therefore, the book provides a thorough survey on pattern languages and presents several profound advances in the understanding of this subject.
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