4 papers
Connectivity at the crossroad of intuitionistic and classical polarizations in linear logic
Raffaele Di Donna, Giulio Guerrieri, Lorenzo Tortora de Falco
We investigate a property that extends the Danos-Regnier correctness criterion for linear logic proof-structures. The property applies to the correctness graphs of a proof-structur…
Yeo's Theorem for Locally Colored Graphs: the Path to Sequentialization in Linear Logic
Rémi Di Guardia, Olivier Laurent, Lorenzo Tortora de Falco +1
We revisit sequentialization proofs associated with the Danos-Regnier correctness criterion in the theory of proof nets of linear logic. Our approach relies on a generalization of…
On the role of connectivity in Linear Logic proofs
Raffaele Di Donna, Lorenzo Tortora de Falco
We investigate a property that extends the Danos-Regnier correctness criterion for linear logic proof-structures. The property applies to the correctness graphs of a proof-structur…
Linear Realisability over nets: multiplicatives (long version)
Adrien Ragot, Thomas Seiller, Lorenzo Tortora de Falco
We provide a new realisability model based on orthogonality for the multiplicative fragment of linear logic, both in presence of generalised axioms (MLL*) and in the standard case…