New foundations for the geometry of interaction (Q1327394)
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scientific article; zbMATH DE number 590754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New foundations for the geometry of interaction |
scientific article; zbMATH DE number 590754 |
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New foundations for the geometry of interaction (English)
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18 July 1994
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J.-Y. Girard defined interpretation of (derivations in) linear logic in \(C^*\)-algebras. This allowed him to write an explicit formula for cut- elimination which works for a subsystem. The authors propose an alternative categorical interpretation based on elementary domain theory, which works for the whole second-order linear logic. Girard's formula is replaced by a least fixed-point.
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categorical interpretation
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domain
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second-order linear logic
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least fixed-point
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0.8923905
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0.88477725
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