A hierarchy L_n^k of Logics of Controlled Consistency is defined with swap-structure semantics and RNmatrices, showing soundness and completeness, recovering known LFIs as special cases, and including a 5-valued LFI3 example.
On the theory of inconsistent formal systems.Notre Dame Journal of Formal Logic, 15(4):497–510
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A taxonomy for controlling (in)consistency
A hierarchy L_n^k of Logics of Controlled Consistency is defined with swap-structure semantics and RNmatrices, showing soundness and completeness, recovering known LFIs as special cases, and including a 5-valued LFI3 example.