Converse Ackermann property and constructive negation defined with a negation connective
DOI:
https://doi.org/10.12775/LLP.2006.007Keywords
converse Ackermann property, constructive negation, relational ternary semantics, Relevance logicsAbstract
The Converse Ackermann Property is the unprovability of formulas of the form (A -> B) -> C when C does contain neither -> nor ¬. Intuitively, the CAP amounts to rule out the derivability of pure non-necessitive propositions from non-necessitive ones. A constructive negation of the sort historically defined by, e.g., Johansson is added to positive logics with the CAP in the spectrum delimited by Ticket Entailment and Dummett’s logic LC.References
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