On avoidability of formulas with reversal

Leroy, J. ;  Rigo, M. ;  Charlier, E. (éd.)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Special issue dedicated to the 16th "Journées Montoises d’Informatique Théorique", Tome 51 (2017) no. 4, pp. 181-189.

While a characterization of unavoidable formulas (without reversal) is well-known, little is known about the avoidability of formulas with reversal in general. In this article, we characterize the unavoidable formulas with reversal that have at most two one-way variables (x is a one-way variable in formula with reversal ϕ if exactly one of x and xR appears in ϕ).

Accepté le :
DOI : 10.1051/ita/2017013
Classification : 68R15
Mots-clés : Pattern avoidance, formula with reversal, unavoidability
Currie, James D. 1 ; Mol, Lucas 1 ; Rampersad, Narad 1

1 
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     editor = {Leroy, J. and Rigo, M. and Charlier, E.},
     title = {On avoidability of formulas with reversal},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {181--189},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {4},
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Currie, James D.; Mol, Lucas; Rampersad, Narad. On avoidability of formulas with reversal. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Special issue dedicated to the 16th "Journées Montoises d’Informatique Théorique", Tome 51 (2017) no. 4, pp. 181-189. doi : 10.1051/ita/2017013. http://archive.numdam.org/articles/10.1051/ita/2017013/

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