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On the admissible rules of intuitionistic propositional logic

  • Rosalie Iemhoff (a1)
Abstract
Abstract

We present a basis for the admissible rules of intuitionistic propositional logic. Thereby a conjecture by de Jongh and Visser is proved. We also present a proof system for the admissible rules, and give semantic criteria for admissibility.

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[1977] Citkin A. I., On admissible rules of intuitionistic propositional logic, Mathematics of the USSR, Sbornik, vol. 31 (1977), pp. 314323.
[1974] Fine K., Logics containing KA, part I, this Journal, vol. 34 (1974), pp. 3142.
[1985] Fine K., Logics containing KA, part II, this Journal, vol. 50 (1985), pp. 619651.
[to appear] Ghilhardi S., Unification in intuitionistic and De Morgan Logic, this Journal, (to appear).
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[1976] Mints G. E., Derimbility of admissible rules, Journal of Soviet Mathematics, vol. 6 (1976).
[1997] Rybakov V. V., Admissibility of Logical Inference Rules, Elsevier, Amsterdam, 1997.
[1988] Troelstra A. S. and van Dalen D., Constructivism in Mathmatics I, Elsevier, Amsterdam, 1988.
[to appear] Visser A., Rules and arithmetics, Notre Dame Journal of Formal Logic, (to appear).
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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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