Abstract
We look at the finite satisfiability problem of the two variable fragment of first order logic with the successors of two linear orders. While the logic with both the successors and their transitive closures remains undecidable, we prove that the logic with only the successors is decidable.
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Manuel, A. (2010). Two Variables and Two Successors. In: Hliněný, P., Kučera, A. (eds) Mathematical Foundations of Computer Science 2010. MFCS 2010. Lecture Notes in Computer Science, vol 6281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15155-2_45
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DOI: https://doi.org/10.1007/978-3-642-15155-2_45
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