Classical linear logics with mix separation principle

Mathematical Logic Quarterly 49 (2):201-209 (2003)
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Abstract

Variants of classical linear logics are presented based on the modal version of new structural rule !?mingle instead of the known rules !weakening and ?weakening. The cut-elimination theorems, the completeness theorems and a characteristic property named the mix separation principle are proved for these logics.

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Multiplicative Conjunction as an Extensional Conjunction.Arnon Avron - 1997 - Logic Journal of the IGPL 5 (2):181-208.
Substructural logics with Mingle.Norihiro Kamide - 2002 - Journal of Logic, Language and Information 11 (2):227-249.

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