This article is within the scope of WikiProject Computer science, a collaborative effort to improve the coverage of Computer science related articles on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.Computer scienceWikipedia:WikiProject Computer scienceTemplate:WikiProject Computer scienceComputer science articles
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
I'm trying to think of a good example of a P/poly algorithm to add to this page, but I can't think of anything nontrivial and interesting. Trivial examples include: problems in P and arbitrary unary languages. The NP in P/poly implies PH collapse result implies that there's no known P/poly algorithm for any NP-complete problem. The BPP in P/poly result implies that there is a relatively simple P/poly algorithm for primality testing, but is it simple enough to present here? The only other problems that might have one are integer factorization and graph isomorphism, but I know no result regarding whether either of these problems is in P/poly. Dcoetzee21:40, 8 July 2007 (UTC)[reply]
Follow-up thought: it might be illustrative to show a P/poly algorithm for a problem in P if that algorithm is fundamentally different from the ordinary P algorithm, perhaps simpler, and uses the advice string in an interesting way. Dcoetzee21:47, 8 July 2007 (UTC)[reply]
I think the proof is incorrect: Repeating Mt times does NOT decrease the error probability below but it does decrease it to (by Chernoff bound, see BPP (complexity)). If we take , we get the probability of bad R for every x less than . Kukolar (talk) 08:01, 10 May 2009 (UTC)[reply]
