Query (complexity)

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Query (complexity)
In descriptive complexity, a query is a mapping from structures of one vocabulary to structures of another vocabulary.  Neil Immerman, in his book "Descriptive Complexity", "use[s] the concept of query as the fundamental paradigm of computation" (p. 17).Given vocabularies and , we define the set of structures on each language, and . A query is then any mapping  Computational complexity theory can then be phrased in terms of the power of the mathematical logic necessary to express a given query.
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