Weakly maximal decidable structures
Bès, Alexis ; Cégielski, Patrick
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008), p. 137-145 / Harvested from Numdam
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We prove that there exists a structure M whose monadic second order theory is decidable, and such that the first-order theory of every expansion of M by a constant is undecidable.

Publié le : 2008-01-01
DOI : https://doi.org/10.1051/ita:2007044
Classification:  03B25,  03C57,  03D05 
@article{ITA_2008__42_1_137_0,
     author = {B\`es, Alexis and C\'egielski, Patrick},
     title = {Weakly maximal decidable structures},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     volume = {42},
     year = {2008},
     pages = {137-145},
     doi = {10.1051/ita:2007044},
     mrnumber = {2382548},
     zbl = {1149.03015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ITA_2008__42_1_137_0}
}

Bès, Alexis; Cégielski, Patrick. Weakly maximal decidable structures. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) pp. 137-145. doi : 10.1051/ita:2007044. http://gdmltest.u-ga.fr/item/ITA_2008__42_1_137_0/

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