Limited Set quantifiers over Countable Linear Orderings [chapter]

Thomas Colcombet, A. V. Sreejith
<span title="">2015</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
In this paper, we study several sublogics of monadic secondorder logic over countable linear orderings, such as first-order logic, firstorder logic on cuts, weak monadic second-order logic, weak monadic second-order logic with cuts, as well as fragments of monadic secondorder logic in which sets have to be well ordered or scattered. We give decidable algebraic characterizations of all these logics and compare their respective expressive power.
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