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The monadic theory of order

From MaRDI portal
Publication:6434947

DOI10.2307/1971037arXiv2305.00968WikidataQ105487999 ScholiaQ105487999MaRDI QIDQ6434947

Author name not available (Why is that?)

Publication date: 1 May 2023

Abstract: We deal with the monadic (second-order) theory of order. We prove all known results in a unified way, show a general way of reduction, prove more results and show the limitation on extending them. We prove (CH) that the monadic theory of the real order is undecidable. Our methods are model-theoretic, and we do not use automaton theory. This is a slightly corrected version of a very old work.





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