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Intuitionistic Propositional Logic without 'Contraction' but with 'Reductio'

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Abstract

Routley-Meyer type relational complete semantics are constructed for intuitionistic contractionless logic with reductio. Different negation completions of positive intuitionistic logic without contraction are treated in a systematical, unified and semantically complete setting.

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References

  1. Anderson, J., N. Belnap, J. Dunn, Entailment II, Princeton University Press, Princeton, 1992.

    Google Scholar 

  2. MÉndez, J. M., and F. Salto, ‘Urquhart's C with intuitionistic negation: Dummett's LC without the contraction axiom’, Notre Dame Journal of Formal Logic 36 (1995), 407–413.

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  3. MÉndez, J. M., and F. Salto, ‘A natural negation completion of Urquhart's manyvalued logic C’, Journal of Philosophical Logic 27 (1998), 75–84.

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  4. Ono, H., and Y. Komori, ‘Logics without the contraction rule’, Journal of Symbolic Logic 50 (1985), 169–201.

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  5. Routley, R., et al., Relevant Logics and their Rivals, Ridgeview, California, 1982.

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Méndez, J.M., Salto, F. Intuitionistic Propositional Logic without 'Contraction' but with 'Reductio'. Studia Logica 66, 409–418 (2000). https://doi.org/10.1023/A:1005216827905

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  • DOI: https://doi.org/10.1023/A:1005216827905

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