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On the number of variables in undecidable superintuitionistic propositional calculi

  • Logic Journal of IGPL
  • Oxford University Press
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In this article, we construct an undecidable superintuitionistic propositional calculus using 3-variable axioms, i.e. an undecidable finitely axiomatizable extension of the intuitionistic propositional calculus with axioms containing only 3 variables. Since superintuitionistic propositional calculi cannot be axiomatized using less than 3 variables, this is the minimal possible number of variables.

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DOI
10.1093/jigpal/jzw018
OpenAlex
W2283591084
Document type
article
Language
EN
Source
Logic Journal of IGPL
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