Exchange rules
Mario Piazza · Journal of Symbolic Logic · 2001
Abstract In this paper, we show by a proof-theoretical argument that in a logic without structural rules, that is in noncommutative linear logic with exponentials, every formula A for which exchange rules (and weakening and contraction as well) are admissible is provably equivalent to? A. This property shows that the expressive power of “noncommutative exponentials” is much more important than that of “commutative exponentials”.