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Prenex Tableaux

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First-Order Logic

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE2,volume 43))

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Abstract

By a prenex formula is meant a formula of the form (q1x1)...(q n x n )(M) where each q i is one of the quantifier symbols “∀”, “∃”, and x i x j , for i ≠ j, and M is a quantifier-free formula (i.e. M contains no quantifiers at all). One sometimes refers to M as the matrix of the prenex formula (q1x1)...(q n x n )(M), and (q1x1)...(q n x n ) is called the prefix.

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© 1968 Springer-Verlag Berlin · Heidelberg

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Smullyan, R.M. (1968). Prenex Tableaux. In: First-Order Logic. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86718-7_13

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  • DOI: https://doi.org/10.1007/978-3-642-86718-7_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86720-0

  • Online ISBN: 978-3-642-86718-7

  • eBook Packages: Springer Book Archive

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