Theoretical Computer Science
Hypercoherences: a strongly stable model of linear logic
Proceedings of the workshop on Advances in linear logic
Concurrent Games and Full Completeness
LICS '99 Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science
Proof Nets for Unit-free Multiplicative-Additive Linear Logic (Extended abstract)
LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
A semantic characterisation of the correctness of a proof net
Mathematical Structures in Computer Science
Information and Computation
Acyclicity and coherence in multiplicative exponential linear logic
CSL'06 Proceedings of the 20th international conference on Computer Science Logic
Hi-index | 0.00 |
We give a graph theoretical criterion on multiplicative additive linear logic (MALL) cut-free proof structures that exactly characterizes those whose interpretation is a hyperclique in Ehrhard's hypercoherent spaces. This criterion is strictly weaker than the one given by Hughes and van Glabbeek characterizing proof nets (i.e. desequentialized sequent calculus proofs). We thus also give the first proof of semantical soundness of hypercoherent spaces with respect to proof nets entirely based on graph theoretical trips, in the style of Girard's proof of semantical soundness of coherent spaces for proof nets of the multiplicative fragment of linear logic.