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arXiv · 2405.01375

Skolemisation for Intuitionistic Linear Logic

Alessandro Bruni·Eike Ritter·Carsten Schürmann
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Abstract

Focusing is a known technique for reducing the number of proofs while preserving derivability. Skolemisation is another technique designed to improve proof search, which reduces the number of back-tracking steps by representing dependencies on the term level and instantiate witness terms during unification at the axioms or fail with an occurs-check otherwise. Skolemisation for classical logic is well understood, but a practical skolemisation procedure for focused intuitionistic linear logic has been elusive so far. In this paper we present a focused variant of first-order intuitionistic linear logic together with a sound and complete skolemisation procedure.

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Alessandro Bruni, Eike Ritter, Carsten Schürmann. 2024-05-02. Skolemisation for Intuitionistic Linear Logic. https://arxiv.org/abs/2405.01375

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