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The Sequent Variant of System R

  • V. M. Popov
Chapter
Part of the Synthese Library book series (SYLI, volume 257)

Abstract

There is a sequent formulation (calculus Gd) of one of the important and most well-motivated relevant systems—system R—suggested here. The indexing (by means of index d) of formulas occurring in sequents of the calculi GRd is stipulated by two natural (from the viewpoint of relevant logic) demands. These demands are the following:
  1. 1.

    it is necessary to distinguish the conjunctive and implicative connections between the members of an antecedent of a sequent;

     
  2. 2.

    it is necessary to distinguish the disjunctive and implicative- negative connections between the members of succedent of sequent.

     

Keywords

Finite Sequence Regular Sequence Sequent Calculus Relevant Logic Relevant System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    P. I. Bystrov. The calculi of indexed sequents in relevant logic. Intensional logics and logical structure of theories (Abstracts of the 4th Soviet—Finnish Symposium in Logic, pp. 31–32, Tbilisi, 1985. (In Russian)Google Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 1996

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  • V. M. Popov

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