Economical discourse representation theory

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Abstract

First-order logic (FOL) is undecidable - that is, no algorithm exists that can decide whether a formula of FOL is valid or not. However, there are various fragments of FOL that are known to be decidable. FO2, the two-variable fragment of FOL, is one of such languages [1,2]. FO2 is a first-order language where formulas have maximally two variables, no function symbols, but possibly do have equality. FO2 has the finite model property [1], which means that if a formula of FO2 is satisfiable, it is satisfiable in a finite model. © 2010 Springer-Verlag Berlin Heidelberg.

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Bos, J. (2010). Economical discourse representation theory. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5972 LNAI, pp. 121–134). https://doi.org/10.1007/978-3-642-14418-9_8

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