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Journal of Mathematical Sciences

, Volume 205, Issue 3, pp 389–402 | Cite as

Double Negation Operator in Logic N

  • S. A. DrobyshevichEmail author
Article
  • 29 Downloads

We obtain an axiomatization of the double Routley negation operator as a necessity operator in the logic N . We introduce the logic N # describing the behavior of the double Routley negation operator, define the Kripke semantics of N #, prove the completeness, and the establish the finite approximation property and decidability. We also compare constructive properties of the logics N and N #.

Keywords

Modal Logic Induction Assumption Intuitionistic Logic Double Negation Validity Relation 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics SB RASNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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