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All Outputs (15)

Unambiguous Injective Morphisms in Free Groups (2022)
Journal Article
Reidenbach, D., & Day, J. D. (2022). Unambiguous Injective Morphisms in Free Groups. Information and Computation, 289(Part A), https://doi.org/10.1016/j.ic.2022.104946

A morphism g is ambiguous with respect to a word u if there exists a second morphism h 6= g such that g(u) = h(u). Otherwise g is unambiguous with respect to u. Thus unambiguous morphisms are those for which the structure of the morphism is preserved... Read More about Unambiguous Injective Morphisms in Free Groups.

Unique decipherability in formal languages (2019)
Journal Article
Bell, P. C., Reidenbach, D., & Shallit, J. O. (2020). Unique decipherability in formal languages. Theoretical Computer Science, 804, 149 - 160. https://doi.org/10.1016/j.tcs.2019.11.022

We consider several language-theoretic aspects of various notions of unique decipherability (or unique factorization) in formal languages. Given a language L at some position within the Chomsky hierarchy, we investigate the language of words UD(L) in... Read More about Unique decipherability in formal languages.