| 11. | It is at least as hard as the previous decision problem.
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| 12. | The study of reducibility notions is motivated by the study of decision problems.
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| 13. | As such, decision problems may change class if a faster algorithm is discovered.
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| 14. | The whole future decision problem appears inside the square brackets on the right.
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| 15. | Formally, a decision problem is a subset of the natural numbers.
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| 16. | All known algorithms for the decision problem work in this way.
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| 17. | Then the consumer's decision problem can be written as follows:
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| 18. | The clique decision problem is NP-complete ( one of Karp's 21 NP-complete problems ).
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| 19. | Decision problems can be ordered according to NP of decision problems under polynomial-time reducibility.
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| 20. | The decision problem for chaotic dynamical systems had been formulated by mathematician Morris Hirsch.
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