Unambiguous 1-uniform morphisms
@article{Nevisi2011Unambiguous1M, title={Unambiguous 1-uniform morphisms}, author={Hossein Nevisi and Daniel A. Reidenbach}, journal={Theor. Comput. Sci.}, year={2011}, volume={478}, pages={101-117} }
A morphism @s is unambiguous with respect to a word @a if there is no other morphism @t that maps @a to the same image as @s. In the present paper we study the question of whether, for any given word, there exists an unambiguous 1-uniform morphism, i.e., a morphism that maps every letter in the word to an image of length 1.
3 Citations
Unambiguous 1-Uniform Morphisms (cid:73)
- Mathematics
- 2012
A morphism σ is unambiguous with respect to a word α if there is no other morphism τ that maps α to the same image as σ . In the present paper we study the question of whether, for any given word,…
Morphic Primitivity and Alphabet Reductions
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The present paper investigates the effect of alphabet reductions on morphically primitive words, i.e., words that are not a fixed point of a nontrivial morphism and answers a question on the existence of unambiguous alphabet reductions for such words.
Institutional Repository Morphic primitivity and alphabet reductions
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The present paper investigates the effect of alphabet reductions on morphically primitive words, i.
References
SHOWING 1-10 OF 18 REFERENCES
Weakly Unambiguous Morphisms
- MathematicsSTACS
- 2011
The main result is a compact characterisation that holds for all morphisms with ternary or larger target alphabets, and comprehensively describes those words that have a weakly unambiguous length-increasing morphism with a unary target alphabet.
On a conjecture about finite fixed points of morphisms
- MathematicsTheor. Comput. Sci.
- 2005
Unambiguous erasing morphisms in free monoids
- MathematicsRAIRO Theor. Informatics Appl.
- 2010
The present paper demonstrates that, in contrast to the main result by Freydenberger et al., the existence of an unambiguous erasing morphisms for a given string can essentially depend on the size of the target alphabet of the morphism.
Unambiguous Morphic Images of Strings
- MathematicsDevelopments in Language Theory
- 2005
The studies demonstrate that the existence of unambiguous morphic images essentially depends on the structure of α, and formulates the main result according to which a string α can be mapped by an injective morphism onto an unambiguous image if and only if α is succinct.
The Unambiguity of Segmented Morphisms
- MathematicsDevelopments in Language Theory
- 2007
This work features the first approach to a characterisation of sets of strings with respect to which certain fixed morphisms are unambiguous, and it leads to fairly counter-intuitive insights into the relations between such sets.