| Issue |
RAIRO-Theor. Inf. Appl.
Volume 42, Number 1, January-March 2008
A nonstandard spirit among computer scientists:a tribute to Serge Grigorieff at the occasion of his 60th birthday
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|---|---|---|
| Page(s) | 137 - 145 | |
| DOI | https://doi.org/10.1051/ita:2007044 | |
| Published online | 18 January 2008 | |
Weakly maximal decidable structures
LACL, EA 4213, Université Paris-Est, Faculté des Sciences et Technologie, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France; bes@univ-paris12.fr; cegielski@univ-paris12.fr
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.
Mathematics Subject Classification: 03B25 / 03C57 / 03D05
Key words: Decidability / first-order theories / monadic second-order theories / maximality / automata / rich words
© EDP Sciences, 2007
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