Decision procedure of some relevant logics: a constructive perspective

@article{Riche2005DecisionPO,
  title={Decision procedure of some relevant logics: a constructive perspective},
  author={Jacques Riche},
  journal={Journal of Applied Non-Classical Logics},
  year={2005},
  volume={15},
  pages={23 - 9}
}
  • J. Riche
  • Published 1 January 2005
  • Mathematics
  • Journal of Applied Non-Classical Logics
Some investigations into the algebraic constructive aspects of a decision procedure for various fragments of Relevant Logics are presented. Decidability of these fragments relies on S. Kripke's gentzenizations and on his combinatorial lemma known as Kripke's lemma that B. Meyer has shown equivalent to Dickson's lemma in number theory and to his own infinite divisor lemma, henceforth, Meyer's lemma or IDP. These investigations of the constructive aspects of the Kripke's-Meyer's decision… 
1 Citations
Constructive Decision via Redundancy-Free Proof-Search
TLDR
A constructive account of Kripke-Curry’s method which was used to establish the decidability of Implicational Relevance Logic is given, mechanize this method in axiom-free Coq, abstracting away from the specific features of \(\mathbf R_{{\rightarrow }}\) to keep only the essential ingredients of the technique.

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