Titlebook: Randomization and Approximation Techniques in Computer Science; 6th International Wo José D. P. Rolim,Salil Vadhan Conference proceedings 2

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,ω-Regular Languages Are Testable with a Constant Number of Queries,ut ., returns “yes” if . satisfies ψ, and returns “no” with high probability if . is ɛ-far from satisfying ψ, where ɛ-far essentially means that an ɛ-fraction of . needs to be changed in order for it to satisfy ψ. In [.], Alon et al. show that regular languages are ɛ-testable with a constant (depend

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Counting and Sampling ,-Colourings,roblems of interest do not have such a structure and there is already some evidence that this equivalence does not hold for the whole of #P. An intriguing example is the class of . colouring problems, which have recently been the subject of much study, and their natural generalisation to vertex-and

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