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A General NP-Completeness Theorem

In: From Topology to Computation: Proceedings of the Smalefest

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  • Nimrod Megiddo

Abstract

Blum, Shub, and Smale [2] formalized a model of computation over a general ring. They proved an analogue of Cook’s theorem [3] over the reals. Smale [4] has recently raised the question of existence of NP-complete problems relative to “linear” machines, i.e., machines which add, subtract, multiply by constants, and branch, depending on the sign of a number.

Suggested Citation

  • Nimrod Megiddo, 1999. "A General NP-Completeness Theorem," Springer Books, in: Morris W. Hirsch & Jerrold E. Marsden & Michael Shub (ed.), From Topology to Computation: Proceedings of the Smalefest, chapter 39, pages 432-442, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2740-3_39
    DOI: 10.1007/978-1-4612-2740-3_39
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