
doi: 10.1007/bf01620764
Girard's \(\Omega\)-logic is based on the category of well-founded orders, while his \(\beta\)-logic is based on the category of ordinals. Here Girard's (unpublished) results are extended from \(\beta\)-logic to \(\Omega\)-logic.
Girard's \(\Omega\)-logic, Cut-elimination and normal-form theorems, category of well-founded orders
Girard's \(\Omega\)-logic, Cut-elimination and normal-form theorems, category of well-founded orders
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