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

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Boris Eng

Abstract

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 and 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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