Note on models of polarised intuitionistic logic
Résumé
Following renewed interest in duploids arising from the exponential comonad of linear logic (the construction describing polarised intuitionistic translations into linear logic), I summarise here various remarks:
• about a decomposition of Girard's "boring" translation as the expression of call-by-value in call-by-name, dual to how thunks are used to express call-by-name in call-by-value
• about the coincidence between linear CPS translations and Girard's translations of intuitionistic logic into linear logic,
• about a completeness property of historical models of linear logic in the above context
• about a rational reconstruction of these translations with the Linear Call-by-Push-Value.
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