| 21. | However, all primitive recursive functions halt.
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| 22. | A total recursive function is a partial recursive function that is defined for every input.
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| 23. | A total recursive function is a partial recursive function that is defined for every input.
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| 24. | For non-recursive function calls, this is usually an ML family among others.
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| 25. | Rice's theorem says " any nontrivial property of partial recursive functions is undecidable"
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| 26. | It allows a more natural style of expressing computation than simply using primitive recursive functions.
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| 27. | Effectively, this, in combination with the order, allows the definition of recursive functions.
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| 28. | Here is a complete program defining and using the traditional recursive function to calculate a factorial.
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| 29. | Later in 1943 and 1952 Stephen Kleene defined an equivalent concept in terms of recursive functions.
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| 30. | Recursive function theory / lambda calculus?
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