A new correctness criterion for multiplicative non-commutative proof nets

نویسنده

  • Roberto Maieli
چکیده

We introduce a new correctness criterion for multiplicative non commutative proof nets which can be considered as the non-commutative counterpart to the Danos-Regnier criterion for proof nets of linear logic. The main intuition relies on the fact that any switching for a proof net (obtained by mutilating one premise of each disjunction link) can be naturally viewed as a series-parallel order variety (a cyclic relation) on the conclusions of the proof net.

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عنوان ژورنال:
  • Arch. Math. Log.

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2003