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- W1582948223 abstract "We continue the study of combinatorial property testing. For a property ψ, an ɛ-test for ψ, for 0 < ɛ ≤ 1, is a randomized algorithm that given an input x, returns “yes” if x satisfies ψ, and returns “no” with high probability if x is ɛ-far from satisfying ψ, where ɛ-far essentially means that an ɛ-fraction of x needs to be changed in order for it to satisfy ψ. In [AKNS99], Alon et al. show that regular languages are ɛ-testable with a constant (depends on ψ and ɛ and independent of x) number of queries. We extend the result in [AKNS99] to ω-regular languages: given a nondeterministic Büchi automaton A on infinite words and a small ɛ > 0, we describe an algorithm that gets as input an infinite lasso-shape word of the form x · y ω, for finite words x and y, samples only a constant number of letters in x and y, returns “yes” if w ∈ L(A), and returns “no” with probability 2/3 if w is ɛ-far from L(A). We also discuss the applicability of property testing to formal verification, where ω-regular languages are used for the specification of the behavior of nonterminating reactive systems, and computations correspond to lasso-shape words." @default.
- W1582948223 created "2016-06-24" @default.
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- W1582948223 date "2002-01-01" @default.
- W1582948223 modified "2023-09-27" @default.
- W1582948223 title "ω-Regular Languages Are Testable with a Constant Number of Queries" @default.
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- W1582948223 doi "https://doi.org/10.1007/3-540-45726-7_3" @default.
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