The local catenativity of DOL-sequences in free commutative monoids is decidable in the binary case
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 26 (1992) no. 5, pp. 425-437. 
@article{ITA_1992__26_5_425_0,
     author = {Lambert, J. L.},
     title = {The local catenativity of {DOL-sequences} in free commutative monoids is decidable in the binary case},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {425--437},
     publisher = {EDP-Sciences},
     volume = {26},
     number = {5},
     year = {1992},
     mrnumber = {1187511},
     zbl = {0768.68078},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1992__26_5_425_0/}
}
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Lambert, J. L. The local catenativity of DOL-sequences in free commutative monoids is decidable in the binary case. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 26 (1992) no. 5, pp. 425-437. http://www.numdam.org/item/ITA_1992__26_5_425_0/

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