Network-based heuristics for constraint-satisfaction problems
Artificial Intelligence
Experimental evaluation of preprocessing algorithms for constraint satisfaction problems
Artificial Intelligence
Natural language understanding (2nd ed.)
Natural language understanding (2nd ed.)
Constraint satisfaction in Prolog: complexity and theory-based heuristics
Information Sciences—Intelligent Systems: An International Journal
Structure-driven algorithms for truth maintenance
Artificial Intelligence
Closure properties of constraints
Journal of the ACM (JACM)
On the algebraic structure of combinatorial problems
Theoretical Computer Science
Constraint satisfaction and database theory: a tutorial
PODS '00 Proceedings of the nineteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
A comparison of structural CSP decomposition methods
Artificial Intelligence
Complexity classifications of boolean constraint satisfaction problems
Complexity classifications of boolean constraint satisfaction problems
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Temporal Constraints: A Survey
Constraints
The complexity of satisfiability problems
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
Constraint Satisfaction Problems in Non-deterministic Logarithmic Space
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Solving Order Constraints in Logarithmic Space
STACS '03 Proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science
Reasoning about temporal relations: The tractable subalgebras of Allen's interval algebra
Journal of the ACM (JACM)
New Tractable Classes From Old
Constraints
Implementing a Test for Tractability
Constraints
Recognizing frozen variables in constraint satisfaction problems
Theoretical Computer Science
Constraint solving via fractional edge covers
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
A dichotomy theorem for constraint satisfaction problems on a 3-element set
Journal of the ACM (JACM)
The complexity of soft constraint satisfaction
Artificial Intelligence
The complexity of homomorphism and constraint satisfaction problems seen from the other side
Journal of the ACM (JACM)
Complexity of Constraints
Introduction to the Maximum Solution Problem
Complexity of Constraints
Existentially restricted quantified constraint satisfaction
Information and Computation
Maximal infinite-valued constraint languages
Theoretical Computer Science
Hard constraint satisfaction problems have hard gaps at location 1
Theoretical Computer Science
The complexity of soft constraint satisfaction
Artificial Intelligence
Approximating fractional hypertree width
ACM Transactions on Algorithms (TALG)
Complexity of conservative constraint satisfaction problems
ACM Transactions on Computational Logic (TOCL)
An algebraic theory of complexity for valued constraints: establishing a Galois connection
MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
CP'11 Proceedings of the 17th international conference on Principles and practice of constraint programming
Approximability of integer programming with generalised constraints
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
The complexity of equality constraint languages
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
Collapsibility in infinite-domain quantified constraint satisfaction
CSL'06 Proceedings of the 20th international conference on Computer Science Logic
The structure of tractable constraint satisfaction problems
MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
Quantified constraint satisfaction, maximal constraint languages, and symmetric polymorphisms
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Locally consistent constraint satisfaction problems with binary constraints
WG'05 Proceedings of the 31st international conference on Graph-Theoretic Concepts in Computer Science
Adaptive and non-adaptive distribution functions for DSA
PRIMA'10 Proceedings of the 13th international conference on Principles and Practice of Multi-Agent Systems
Maximal infinite-valued constraint languages
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
Constraint satisfaction problems: Convexity makes AllDifferent constraints tractable
Theoretical Computer Science
Tractable Hypergraph Properties for Constraint Satisfaction and Conjunctive Queries
Journal of the ACM (JACM)
Hi-index | 0.00 |
Many combinatorial search problems can be expressed as “constraint satisfaction problems” using an appropriate “constraint language”, that is, a set of relations over some fixed finite set of values. It is well-known that there is a trade-off between the expressive power of a constraint language and the complexity of the problems it can express. In the present paper we systematically study the complexity of all maximal constraint languages, that is, languages whose expressive power is just weaker than that of the language of all constraints. Using the algebraic invariance properties of constraints, we exhibit a strong necessary condition for tractability of such a constraint language. Moreover, we show that, at least for small sets of values, this condition is also sufficient.