A logic of recursion (Q1262303)
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scientific article; zbMATH DE number 4123712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A logic of recursion |
scientific article; zbMATH DE number 4123712 |
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A logic of recursion (English)
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1989
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A language for partial function(al)s on arbitrary structures dealing with application, abstraction, recursion and iteration along the ordinal numbers is considered, and a completeness theorem is established for some axiomatization in terms of modified Girard's \(\beta\)-logic. It is suggested to consider this as the axiomatization of a ``logic of recursion'' in the sense of \textit{Y. Moschovakis} [Lect. Notes Math. 1104, 289-364 (1984; Zbl 0599.03052)].
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language for partial functions on arbitrary structures
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axiomatization in terms of modified Girard's \(\beta\)-logic
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