Volume 66, Number 3, 409-418, DOI: 10.1023/A:1005216827905

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

J. M. Méndez and F. Salto

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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.

contractionless logic - intuitionistic logic - substructural logic - negation - reductio

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