Some multi-conclusion modal paralogics

Logica Universalis 1 (2):335-353 (2007)
. I give a systematic presentation of a fairly large family of multiple-conclusion modal logics that are paraconsistent and/or paracomplete. After providing motivation for studying such systems, I present semantics and tableau-style proof theories for them. The proof theories are shown to be sound and complete with respect to the semantics. I then show how the “standard” systems of classical, single-conclusion modal logics fit into the framework constructed.
Keywords Modal logics  paraconsistent logics  paracomplete logics  multiple-conclusion logics  tableaus
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DOI 10.1007/s11787-007-0017-8
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