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A Gentzen-style axiomatization for basic predicate calculus

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Abstract.

 We introduce a Gentzen-style sequent calculus axiomatization for Basic Predicate Calculus. Our new axiomatization is an improvement of the previous axiomatizations, in the sense that it has the subformula property. In this system the cut rule is eliminated.

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Authors and Affiliations

  1. Department of Mathematics, Isfahan University of Technology, Isfahan, Iran. e-mail: aghaei@cc.iut.ac.ir, , , , , , IR

    Mojtaba Aghaei

  2. Department of Mathematics, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran. e-mail: mardeshir@sina.sharif.ac.ir, , , , , , IR

    Mohammad Ardeshir

Authors
  1. Mojtaba Aghaei
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  2. Mohammad Ardeshir
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Additional information

Received: 18 April 2000 / Published online: 2 September 2002

Mathematics Subject Classification (2000): Primary 03F05; Secondary 03F99, 03B60

Key words or phrases: Basic predicate calculus – Cut elimination – Sequent

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Aghaei, M., Ardeshir, M. A Gentzen-style axiomatization for basic predicate calculus. Arch. Math. Logic 42, 245–259 (2003). https://doi.org/10.1007/s001530100132

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  • DOI: https://doi.org/10.1007/s001530100132

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