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Pré-Publication, Document De Travail Année : 2020

Stellar Resolution: Multiplicatives - for the linear logician, through examples

Boris Eng

Résumé

The stellar resolution is an asynchronous model of computation used in Girard's Transcendental Syntax which is based of Robinson's resolution. Similarly to classical realisability, we obtain a new model of linear logic with computational objects as its foundation: proofs, cut-elimination, formulas/types, correctness and provability are reconstructed very naturally. In this paper, we investigate the case of the multiplicative fragment of linear logic.
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Dates et versions

hal-02977750 , version 1 (25-10-2020)
hal-02977750 , version 2 (04-12-2020)
hal-02977750 , version 3 (25-01-2021)
hal-02977750 , version 4 (23-03-2021)
hal-02977750 , version 5 (04-05-2021)
hal-02977750 , version 6 (29-11-2021)
hal-02977750 , version 7 (03-04-2022)

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  • HAL Id : hal-02977750 , version 1

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Boris Eng. Stellar Resolution: Multiplicatives - for the linear logician, through examples. 2020. ⟨hal-02977750v1⟩
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