Construct · 1 fields · 1 citations

relativization barrier: a standalone construct

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Computational complexity

the result that some oracles make P equal NP and others separate them, so proof methods that hold relative to any oracle cannot settle the question.

In computational complexity, relativization barrier refers to the result that some oracles make P equal NP and others separate them, so proof methods that hold relative to any oracle cannot settle the question. This meaning comes from Baker (1975) in SIAM Journal on Computing.[1]

Unit
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Nearby constructs

oracle4 fields · 8 citationsjingle · one word, four constructs barrier4 fields · 7 citationsjingle · one word, four constructs complexity4 fields · 7 citationsjingle · one word, four constructs

References

Baker, T., Gill, J., & Solovay, R. (1975). Relativizations of the $\mathcal{P} = ?\mathcal{NP}$ Question. SIAM Journal on Computing, 4(4), 431-442. https://doi.org/10.1137/0204037

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