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

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.
Keywords Classical linear logic  Maksimova's principle  phase model  mix separation principle  cutelimination theorem
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DOI 10.1002/malq.200310019
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