Linear Realisability over nets: multiplicatives (extended version) - Archive ouverte HAL
Article Dans Une Revue EACSL Annual Conference on Computer Science Logic Année : 2024

Linear Realisability over nets: multiplicatives (extended version)

Résumé

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 (MLL). The novelty is the definition of cut elimination for generalised axioms. We prove that our model is adequate and complete both for MLL ✠ and MLL.

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Dates et versions

hal-04805459 , version 1 (26-11-2024)

Identifiants

  • HAL Id : hal-04805459 , version 1

Citer

Adrien Ragot, Thomas Seiller, Lorenzo Tortora de Falco. Linear Realisability over nets: multiplicatives (extended version). EACSL Annual Conference on Computer Science Logic, In press. ⟨hal-04805459⟩
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