A Routley-Meyer semantics for Ackermann’s logics of “strenge implication”
DOI:
https://doi.org/10.12775/LLP.2009.010Keywords
Ackermann’s logics, Routley-Meyer semantics, relevant logics, paraconsistent logicsAbstract
The aim of this paper is to provide a Routley-Meyer semantics for Ackermann’s logics of “strenge Implikation” Π ′ and Π ′′ . Besides the Disjunctive Syllogism, this semantics validates the rules Necessitation and Assertion. Strong completeness theorems for Π ′ and Π ′′ are proved. A brief discussion on Π ′ , Π ′′ and paraconsistency is included.References
Ackermann, W., “Begründung einer strengen Implikation”, Journal of Symbolic Logic 21, 2 (1956): 113–128.
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