Lesson plan
Query (complexity)
Query complexity in computational complexity describes the number of queries needed to solve a computational problem for an input that can be accessed only through queries. See in particular: * Aanderaa–Karp–Rosenberg conjecture, on the query complexity of graph problems accessed by querying the existence of edges * Property testing, the study of query complexity for distinguishing objects having a property from objects far from having it * Probabilistically checkable proof, a proof that can be verified by making a small number of queries to the bits of the proof * Quantum complexity theory#Quantum query complexity, the number of queries needed to solve a problem using a quantum algorithm * Query complexity in the decision tree model, the number of queries needed to solve a computational problem by an algorithm that is restricted to take the form of a decision tree * Decision tree model#Quantum decision tree, decision tree complexity for a quantum decision tree * Equitable cake-cutting#Query complexity, the number of times one must query participant preferences in a fair sharing procedure
Article summary
Query complexity in computational complexity describes the number of queries needed to solve a computational problem for an input that can be accessed only through queries. See in particular: * Aanderaa–Karp–Rosenberg conjecture, on the query complexity of graph problems accessed by querying the existence of edges * Property testing, the study of query complexity for distinguishing objects having a property from objects far from having it * Probabilistically checkable proof, a proof that can be verified by making a small number of queries to the bits of the proof * Quantum complexity theory#Quantum query complexity, the number of queries needed to solve a problem using a quantum algorithm * Query complexity in the decision tree model, the number of queries needed to solve a computational problem by an algorithm that is restricted to take the form of a decision tree * Decision tree model#Quantum decision tree, decision tree complexity for a quantum decision tree * Equitable cake-cutting#Query complexity, the number of times one must query participant preferences in a fair sharing procedure
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.