Finding almost-satisfying assignments
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Duality theorems for finite structures (characterising gaps and good characterisations)
Journal of Combinatorial Theory Series B
Conjunctive-query containment and constraint satisfaction
Journal of Computer and System Sciences - Special issue on the seventeenth ACM SIGACT-SIGMOD-SIGART symposium on principles of database systems
Some optimal inapproximability results
Journal of the ACM (JACM)
On the power of unique 2-prover 1-round games
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Closure Functions and Width 1 Problems
CP '99 Proceedings of the 5th International Conference on Principles and Practice of Constraint Programming
Classifying the Complexity of Constraints Using Finite Algebras
SIAM Journal on Computing
A dichotomy theorem for constraint satisfaction problems on a 3-element set
Journal of the ACM (JACM)
The Approximability of Three-valued MAX CSP
SIAM Journal on Computing
The PCP theorem by gap amplification
Journal of the ACM (JACM)
Optimal Inapproximability Results for MAX-CUT and Other 2-Variable CSPs?
SIAM Journal on Computing
Majority constraints have bounded pathwidth duality
European Journal of Combinatorics
Majority functions on structures with finite duality
European Journal of Combinatorics
Optimal algorithms and inapproximability results for every CSP?
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
The approximability of MAX CSP with fixed-value constraints
Journal of the ACM (JACM)
Every 2-csp Allows Nontrivial Approximation
Computational Complexity
Recent Results on the Algebraic Approach to the CSP
Complexity of Constraints
Dualities for Constraint Satisfaction Problems
Complexity of Constraints
Universal algebra and hardness results for constraint satisfaction problems
Theoretical Computer Science
Computational Complexity: A Modern Approach
Computational Complexity: A Modern Approach
Near-optimal algorithms for maximum constraint satisfaction problems
ACM Transactions on Algorithms (TALG)
Tractable Optimization Problems through Hypergraph-Based Structural Restrictions
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
Supermodular functions and the complexity of MAX CSP
Discrete Applied Mathematics - Special issue: Boolean and pseudo-boolean funtions
Constraint Satisfaction Problems of Bounded Width
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
Tractable hypergraph properties for constraint satisfaction and conjunctive queries
Proceedings of the forty-second ACM symposium on Theory of computing
CSP duality and trees of bounded pathwidth
Theoretical Computer Science
On the Unique Games Conjecture (Invited Survey)
CCC '10 Proceedings of the 2010 IEEE 25th Annual Conference on Computational Complexity
Subexponential Algorithms for Unique Games and Related Problems
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
Complexity of conservative constraint satisfaction problems
ACM Transactions on Computational Logic (TOCL)
Min CSP on four elements: moving beyond submodularity
CP'11 Proceedings of the 17th international conference on Principles and practice of constraint programming
Linear programming, width-1 CSPs, and robust satisfaction
Proceedings of the 3rd Innovations in Theoretical Computer Science Conference
Two new homomorphism dualities and lattice operations*
Journal of Logic and Computation
Robust satisfiability of constraint satisfaction problems
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
Near Unanimity Constraints Have Bounded Pathwidth Duality
LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
Complexity of approximating CSP with balance / hard constraints
Proceedings of the 5th conference on Innovations in theoretical computer science
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An algorithm for a constraint satisfaction problem is called robust if it outputs an assignment satisfying at least a (1 − f(ε))-fraction of constraints for each (1 − ε)-satisfiable instance (i.e., such that at most a ε-fraction of constraints needs to be removed to make the instance satisfiable), where f(ε) → 0 as ε → 0. We establish an algebraic framework for analyzing constraint satisfaction problems admitting an efficient robust algorithm with functions f of a given growth rate. We use this framework to derive hardness results. We also describe three classes of problems admitting an efficient robust algorithm such that f is O(1/log (1/ε)), O(ε1/k) for some k 1, and O(ε), respectively. Finally, we give a complete classification of robust satisfiability with a given f for the Boolean case.