Some 3CNF properties are hard to test
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Functions that have read-once branching programs of quadratic size are not necessarily testable
Information Processing Letters
Functions that have read-twice constant width branching programs are not necessarily testable
Random Structures & Algorithms
A large lower bound on the query complexity of a simple boolean function
Information Processing Letters
Space Complexity Vs. Query Complexity
Computational Complexity
On the Query Complexity of Testing Orientations for Being Eulerian
APPROX '08 / RANDOM '08 Proceedings of the 11th international workshop, APPROX 2008, and 12th international workshop, RANDOM 2008 on Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
APPROX '07/RANDOM '07 Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization. Algorithms and Techniques
Property Testing: A Learning Theory Perspective
Foundations and Trends® in Machine Learning
Testing Computability by Width Two OBDDs
APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
A large lower bound on the query complexity of a simple boolean function
Information Processing Letters
Algorithmic and Analysis Techniques in Property Testing
Foundations and Trends® in Theoretical Computer Science
On testing computability by small width OBDDs
APPROX/RANDOM'10 Proceedings of the 13th international conference on Approximation, and 14 the International conference on Randomization, and combinatorial optimization: algorithms and techniques
Approximate Satisfiability and Equivalence
SIAM Journal on Computing
Property testing of massively parametrized problems – a survey
Property testing
Property testing of massively parametrized problems – a survey
Property testing
Testing computability by width-two OBDDs
Theoretical Computer Science
On the query complexity of testing orientations for being Eulerian
ACM Transactions on Algorithms (TALG)
Property testing and the branching program size of boolean functions
FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
Testing computability by width-2 OBDDs where the variable order is unknown
CIAC'10 Proceedings of the 7th international conference on Algorithms and Complexity
SWAT'12 Proceedings of the 13th Scandinavian conference on Algorithm Theory
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Combinatorial property testing, initiated formally by Goldreich, Goldwasser, and Ron in [J. ACM, 45 (1998), pp. 653--750] and inspired by Rubinfeld and Sudan [SIAM J. Comput., 25 (1996), pp. 252--271], deals with the following relaxation of decision problems: Given a fixed property and an input x, one wants to decide whether x has the property or is "far" from having the property.The main result here is that, if ${\cal G}= \{ g_n:\{0,1\}^n \rightarrow \{0,1\} \}$ is a family of Boolean functions which have oblivious read-once branching programs of width w, then, for every n and $\epsilon 0$, there is a randomized algorithm that always accepts every $x \in \{0,1\}^n$ if $g_n(x)=1$ and rejects it with high probability if at least $\epsilon n$ bits of $x$ should be modified in order for it to be in gn-1(1). The algorithm makes $(\frac{2^{w}}{\epsilon})^{O(w)}$ queries. In particular, for constant $\epsilon$ and w, the query complexity is O(1). This generalizes the results of Alon et al.\ [Proceedings of the40th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, 1999, pp. 645--655] asserting that regular languages are $\epsilon$-testable for every $\epsilon 0$.