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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Economical Discourse Representation Theory
verfasst von : Johan Bos
Erschienen in: Controlled Natural Language
Verlag: Springer Berlin Heidelberg
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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. FO
2
, the two-variable fragment of FOL, is one of such languages [1,2]. FO
2
is a first-order language where formulas have maximally two variables, no function symbols, but possibly do have equality. FO
2
has the finite model property [1], which means that if a formula of FO
2
is satisfiable, it is satisfiable in a finite model.