Examples
- To show that a decision problem P is undecidable we must find a reduction from a decision problem which is already known to be undecidable to P. That reduction function must be a computable function. In particular, we often show that a problem P is undecidable by showing that the halting problem reduces to P.
- The complexity classes P, NP and PSPACE are closed under polynomial-time reductions.
- The complexity classes L, NL, P, NP and PSPACE are closed under log-space reduction.
Read more about this topic: Reduction (complexity)
Famous quotes containing the word examples:
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (15331592)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (16701733)