Testers and their applications

Nader H. Bshouty · 2014

We develop a new notion called tester of a class M of functions f : A → C that maps the elements α ∈ A in the domain A of the function to a finite number (the size of the tester) of elements b1,...,bt in a smaller sub-domain B ⊂ A where the property f(α) ≠ 0 is preserved for all f ∈ M. I.e., for all f ∈ M and - ∈ A if f(α) ≠ 0 then f(bi) ≠ 0 for some i.

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