Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424816 | Annals of Pure and Applied Logic | 2012 | 27 Pages |
Abstract
We show that for Multiplicative Exponential Linear Logic (without weakenings) the syntactical equivalence relation on proofs induced by cut-elimination coincides with the semantic equivalence relation on proofs induced by the multiset based relational model: one says that the interpretation in the model (or the semantics) is injective. We actually prove a stronger result: two cut-free proofs of the full multiplicative and exponential fragment of linear logic whose interpretations coincide in the multiset based relational model are the same “up to the connections between the doors of exponential boxes”.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Daniel de Carvalho, Lorenzo Tortora de Falco,