Two-variable Logic with Counting and a Linear Order

We study the finite satisfiability problem for the two-variable fragment of first-order logic extended with counting quantifiers (C2) and interpreted over linearly ordered structures. We show that the problem is undecidable in the case of two linear orders (in the presence of two other binary symbol...

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Bibliographic Details
Main Authors: Witold Charatonik, Piotr Witkowski
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2016-06-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1640/pdf