We establish linear lower bounds for the complexity of non-trivial, primitive recursive algorithms from piecewise linear given functions. The main corollary is that logtime algorithms for the greatest common divisor from such givens (such as Stein's) cannot be matched in e ciency by primitive recurs
Generating the Greatest Common Divisor, and Limitations of Primitive Recursive Algorithms
β Scribed by L. van den Dries
- Publisher
- Springer-Verlag
- Year
- 2003
- Tongue
- English
- Weight
- 290 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1615-3375
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