Subminimal negation

@article{Colacito2017SubminimalN,
  title={Subminimal negation},
  author={Almudena Colacito and Dick de Jongh and Ana Lucia Vargas},
  journal={Soft Computing},
  year={2017},
  volume={21},
  pages={165-174}
}
Minimal logic, i.e., intuitionistic logic without the ex falso principle, is investigated in its original form with a negation symbol instead of a symbol denoting the contradiction. A Kripke semantics is developed for minimal logic and its sublogics with a still weaker negation by introducing a function on the upward closed sets of the models. The basic logic is a logic in which the negation has no properties but the one of being a unary operator. A number of extensions is studied of which the… 
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