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Irreflexive modality as a new logical connective in the Dummett logic

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Publication:467677
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DOI10.1134/S0037446614010212zbMathNoneMaRDI QIDQ467677

Aleksandr D. Yashin

Publication date: 4 November 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Dummett logicnew logical connectiveNovikov completeness


Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)


Related Items (3)

Irreflexive modality on a chain of type \(\omega\) and P. S. Novikov completeness ⋮ Irreflexive modality, the Dummett logic, and continual chains ⋮ Dummett Logic, Irreflexive Modality and Novikov Completeness




Cites Work

  • Unnamed Item
  • New constants in two pretabular superintuitionistic logics
  • New operations in intuitionistic calculus
  • Finite approximability of the \(I^\delta\) calculus and the existence of an extension having no model
  • Irreflexive modality in the intuitionistic propositional logic and Novikov completeness
  • Pretabular superintuitionistic logic
  • A propositional calculus with denumerable matrix
  • On formulas of one variable in intuitionistic propositional calculus




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