Answer by Kamal Lodaya for The monadic second order theory with $
Addition is automatic. If $x$, $y$ and $z$ are three words of numerals of the same length over base $[b] = \{0,1,\dots,b-1\}$, then the predicate $x+y=z$, seen as a language of words over the triple...
View ArticleThe monadic second order theory with $
Consider the monadic second order logic over the natural numbers with $<$ as a predicate, i.e. the second order logic over $(\mathbb N, 1, <)$, where we can quantify over sets and individual...
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