What are natural examples of non-relativizable proofs?
Let’s learn what are natural examples of non-relativizable proofs. The most accurate or helpful solution is served by Theoretical Computer Science.
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As I understand it, a proof that P=NP or P≠NP would need to be non-relativizable (as in recursion theory oracles). Virtually all proofs seem to be relativizable, though. What are good examples of non relativizable proofs, of the sort that a P=NP/P≠NP proof would need to be, that are not trivial or contrived? (I am not a recursion theorist, so please pardon the lack of citations.) [EDIT: better mathoverflow post]
Answer:
As Steven notes, the canonical example is $\mathsf{IP} = \mathsf{PSPACE}$. This collapse does not relativize...
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Other solutions
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Almost constructive proofs An almost-constructive-proof shows that something exists, and is one of a...
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While working on one of the proofs on normed spaces I found that linearity was assumed with a statement that almost all spaces we shall consider will be linear. I wonder now that what are the spaces which are non linear? What would be a classical example...
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In this context, "linear space" is a somewhat older term for what we now call a vector space...
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Answers in Genesis: Upholding the Authority of the Bible from the Very First Verse Upholding the Authority of the Bible from the Very First Verse United Kingdom United States Other Countries ... Country: United States Language: English Good news About...
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Yes it is really accurate. However, who cares?????? This is absurd because Carbon-14 dating is not used...
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examples: Galileo Galilei (1564-1642) Galileo is often remembered for his conflict with the Roman Catholic Church. His controversial work on the solar system was published in 1633. It had no proofs of a sun-centered system (Galileo's telescope discoveries...
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Why do BAD Christians do this?! Galileo presented a theory of heliocentrism The theory that the sun...
Marwan El Wahabi at Yahoo! Answers Mark as irrelevant Undo
what are 2 examples of electrolytes and 2 examples of non-electrolytes?
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Examples of electrolytes.... (1) Copper sulphate solution. (2) Sodium chloride solution. Examples of...
XCXN2JCMFDMDWJP7ILCJ6MXMOI at Yahoo! Answers Mark as irrelevant Undo
What are some examples of the way gender roles can be acted out in verbal communication? What are examples of the way gender roles can be acted out in non-verbal communication? What are two examples of the way power & dominance can be played out...
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Forceful gestures and hand movements, regardless of gender, can demonstrate power & dominance, non...
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You mean such as oxygen, the benefits are clearly obvious, no oxygen no animal life. Carbon dioxide...
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I need some non-examples for the following terms: biology cell system homeostasis evolution adaption experiement independent variable dependent variable constant & biotechnology. The non-examples could be like things that are mistaken as those terms...
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What are some examples of bridges between specific and non-specific immunity? I guess what I am trying to ask for are a few examples of how the non-specific immunity gets the specific immunity to work.
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Antigen presenting cells like dendritic cells and macrophages are part of the non-specific immune response...
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