File:KleeneT collatz5.gif
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English: Illustration of an example call of Kleene's T predicate T1. The first argument gives the source code (in C rather than as a Gödel number) of a computable function, viz. the Collatz function f. The second argument gives the natural number i (in our example: 5) to which f is to be applied. The third argument gives a sequence x of computation steps simulating the evaluation of f on i (as an equation chain rather than a Gödel number). The predicate call evaluates to true since x is actually the correct computation sequence for the call f(5), and ends with an expression not involving f anymore. Kleene's function U, applied to the sequence x, will return its final expression, viz. 1. |
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| Source | Own work |
| Author | Jochen Burghardt |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:52, 7 April 2021 | | 901 × 43 (2 KB) | Jochen Burghardt (talk | contribs) | squeezed horizontally to 901 pixels |
| 14:10, 7 April 2021 |  | 986 × 43 (2 KB) | Jochen Burghardt (talk | contribs) | Uploaded own work with UploadWizard |
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