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arXiv · 2411.17486

Linear Realisability over nets: multiplicatives (long version)

Adrien Ragot·Thomas Seiller·Lorenzo Tortora de Falco
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Abstract

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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Adrien Ragot, Thomas Seiller, Lorenzo Tortora de Falco. 2024-11-26. Linear Realisability over nets: multiplicatives (long version). https://arxiv.org/abs/2411.17486

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