Authors
José M. Méndez
Universidad de Salamanca
Gemma Robles
Universidad de León
Francisco Salto
Universidad de León
Abstract
Minimal Negation is defined within the basic positive relevance logic in the relational ternary semantics: B+. Thus, by defining a number of subminimal negations in the B+ context, principles of weak negation are shown to be isolable. Complete ternary semantics are offered for minimal negation in B+. Certain forms of reductio are conjectured to be undefinable (in ternary frames) without extending the positive logic. Complete semantics for such kinds of reductio in a properly extended positive logic are offered.
Keywords Minimal negation  B relevance logic  Positive negation
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