# A Characterization of Infinite LSP Words

2 ESCAPE - Systèmes complexes, automates et pavages
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : G. Fici proved that a finite word has a minimal suffix automaton if and only if all its left special factors occur as prefixes. He called LSP all finite and infinite words having this latter property. We characterize here infinite LSP words in terms of $S$-adicity. More precisely we provide a finite set of morphisms $S$ and an automaton ${\cal A}$ such that an infinite word is LSP if and only if it is $S$-adic and all its directive words are recognizable by ${\cal A}$.
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Conference papers

https://hal-lirmm.ccsd.cnrs.fr/lirmm-01587263
Contributor : Gwenaël Richomme <>
Submitted on : Wednesday, September 13, 2017 - 10:54:46 PM
Last modification on : Monday, November 30, 2020 - 9:52:12 AM

### Citation

Gwenaël Richomme. A Characterization of Infinite LSP Words. DLT: Developments in Language Theory, Aug 2017, Liège, Belgium. pp.320-331, ⟨10.1007/978-3-319-62809-7_24⟩. ⟨lirmm-01587263⟩

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