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Intuitionistic Propositional Logic without 'Contraction' but with 'Reductio'
Authors:Méndez  J. M.  Salto  F.
Affiliation:(1) Departimento de Filosofia y Logica y Filosofia de la Ciencia, Universidad de Salamanca, 37007 Salamanca, Spain;(2) Departimento de Filosofia y Logica y Filosofia de la Ciencia, Universidad de Salamanca, 37007 Salamanca, Spain
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.
Keywords:contractionless logic  intuitionistic logic  substructural logic  negation  reductio
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