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Set of objects whose state must satisfy limits
Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations
Constraint satisfaction problem
Constraint_satisfaction_problem
Process in artificial intelligence and operations research
intelligence and operations research, constraint satisfaction is the process of finding a solution through a set of constraints that impose conditions that the
Constraint_satisfaction
classes of constraint satisfaction problems on finite domains. Solving a constraint satisfaction problem on a finite domain is an NP-complete problem in general
Complexity of constraint satisfaction
Complexity_of_constraint_satisfaction
Constraint Satisfaction Problem (WCSP), also known as Valued Constraint Satisfaction Problem (VCSP), is a generalization of a constraint satisfaction
Weighted constraint satisfaction problem
Weighted_constraint_satisfaction_problem
dual problem is a reformulation of a constraint satisfaction problem expressing each constraint of the original problem as a variable. Dual problems only
Constraint satisfaction dual problem
Constraint_satisfaction_dual_problem
In constraint satisfaction, a decomposition method translates a constraint satisfaction problem into another constraint satisfaction problem that is binary
Decomposition method (constraint satisfaction)
Decomposition_method_(constraint_satisfaction)
operations research, hierarchical constraint satisfaction (HCS) is a method of handling constraint satisfaction problems where the variables have large domains
Hierarchical constraint satisfaction
Hierarchical_constraint_satisfaction
Optimizing objective functions that have constrained variables
The constrained-optimization problem (COP) is a significant generalization of the classic constraint-satisfaction problem (CSP) model. COP is a CSP that
Constrained_optimization
Computer programming paradigm
Constraint programming (CP) is a paradigm for solving combinatorial problems that draws on a wide range of techniques from artificial intelligence, computer
Constraint_programming
Theory of algebraic structures in general
natural language for the constraint satisfaction problem (CSP). CSP refers to an important class of computational problems where, given a relational
Universal_algebra
Algorithmic paradigm for constraint satisfaction or enumeration problems
for finding solutions to some computational problems, notably constraint satisfaction or enumeration problems, that incrementally builds candidates to the
Backtracking
Search algorithm or heuristic method to solve constraint satisfaction problems
algorithm is a search algorithm or heuristic method to solve constraint satisfaction problems. One such algorithm is min-conflicts hill-climbing. Given an
Min-conflicts_algorithm
Condition of an optimization problem which the solution must satisfy
the modeling of constraint satisfaction problems, to extend the expressivity of constraint languages, and also to improve the constraint resolution: indeed
Constraint_(mathematics)
Node-weighted undirected graph associated with a given combinatorial optimization problem
weighted constraint satisfaction problem. Developed and introduced by Satish Kumar Thittamaranahalli (T. K. Satish Kumar), the idea of the constraint composite
Constraint_composite_graph
intelligence and operations research for constraint satisfaction a hybrid algorithm solves a constraint satisfaction problem by the combination of two different
Hybrid algorithm (constraint satisfaction)
Hybrid_algorithm_(constraint_satisfaction)
hypergraphs are used to represent relations among constraints in a constraint satisfaction problem. A constraint graph is a special case of a factor graph, which
Constraint_graph
Partition into subsets from a given family
{\displaystyle {\mathcal {S}}} . The exact cover problem to find an exact cover is a kind of constraint satisfaction problem. The elements of S {\displaystyle {\mathcal
Exact_cover
In constraint satisfaction, local consistency conditions are properties of constraint satisfaction problems related to the consistency of subsets of variables
Local_consistency
of constraints over the variables is minimized. Distributed Constraint Satisfaction is a framework for describing a problem in terms of constraints that
Distributed constraint optimization
Distributed_constraint_optimization
Logic puzzle
benchmark in the evaluation of computer algorithms for solving constraint satisfaction problems. More recently, it has been used as a benchmark for logical
Zebra_Puzzle
Structure-preserving correspondence between node-link graphs
expression of an important class of constraint satisfaction problems, such as certain scheduling or frequency assignment problems. The fact that homomorphisms
Graph_homomorphism
Topics referred to by the same term
computer science Constraint satisfaction problem Loading gauge, a constraint in engineering Optimality theory, in linguistics, a constraint-based theory which
Constraint
Technique to solve constraint satisfaction problems
solve constraint satisfaction problems (CSP). A CSP is a mathematical problem in which objects, represented by variables, are subject to constraints on the
Interchangeability_algorithm
parity problem can be extended to some cases of delta-matroids. Delta-matroids have also been used to study constraint satisfaction problems. As a special
Delta-matroid
Problem in computational complexity theory
minimum satisfiability problem. The MAX-SAT problem can be extended to the case where the variables of the constraint satisfaction problem belong to the set
Maximum satisfiability problem
Maximum_satisfiability_problem
Problem of determining if a Boolean formula could be made true
second-order logic, constraint satisfaction problems, 0-1 integer programming. While SAT is a decision problem, the search problem of finding a satisfying
Boolean satisfiability problem
Boolean_satisfiability_problem
Algorithms in constraint satisfaction
is one of a series of algorithms used for the solution of constraint satisfaction problems (or CSPs). It was developed by Alan Mackworth in 1977. The
AC-3_algorithm
Logic programming with constraint satisfaction
include concepts from constraint satisfaction. A constraint logic program is a logic program that contains constraints in the body of clauses. An example
Constraint_logic_programming
Logical problem studied in computer science
arithmetic. SMT can be thought of as a constraint satisfaction problem and thus a certain formalized approach to constraint programming. Formally speaking, an
Satisfiability modulo theories
Satisfiability_modulo_theories
Computer science award
Bulatov, Andrei A. (2013). "The complexity of the counting constraint satisfaction problem". Journal of the ACM. 60 (5). Association for Computing Machinery:
Gödel_Prize
Unsolved problem in computational complexity theory
polynomial-time approximation. The problems for which such an inapproximability result would hold include constraint satisfaction problems, which crop up in a wide
Unique_games_conjecture
Subfield of mathematical optimization
NPO problems that are polynomially-bounded. Assignment problem Bin packing problem Chinese postman problem Closure problem Constraint satisfaction problem
Combinatorial_optimization
Czech physics researcher
applies methods from statistical physics to machine learning and constraint satisfaction problems. She is a professor of physics and computer science and communication
Lenka_Zdeborová
which deals with problems in quantum complexity theory and condensed matter physics. It mostly studies constraint satisfaction problems related to ground
Hamiltonian_complexity
Logic-based number-placement puzzle
nonessentially equivalent minimal puzzles exist. 36 Cube Blendoku Constraint satisfaction problem Cracking the Cryptic Futoshiki Glossary of Sudoku Hashiwokakero
Sudoku
constraint satisfaction backtracking algorithms, constraint learning is a technique for improving efficiency. It works by recording new constraints whenever
Constraint_learning
When a finite set S of relations yields polynomial-time or NP-complete problems
expository paper by Hubie Chen. In modern terms, the problem SAT(S) is viewed as a constraint satisfaction problem over the Boolean domain. In this area, it is
Schaefer's_dichotomy_theorem
intervals. Interval propagation considers an estimation problem as a constraint satisfaction problem. A contractor associated to an equation involving the
Interval_propagation
Table for coordinating educational schedules at an institution
timetabling is a more computationally intensive task (see the constraint satisfaction problem). The task of constructing a high school timetable may involve
School_timetable
Topics referred to by the same term
for example telecommunications Constraint satisfaction problem, a formalism for defining constrained decision problems Content Security Policy, a security
CSP
Topics referred to by the same term
3), one of a series of algorithms used for the solution of constraint satisfaction problems (35414) 1998 AC3, a minor planet AC-3, an IEC utilization category
AC3
Constraint programming setting
constraint solving is constraint satisfaction in a computational geometry setting, which has primary applications in computer aided design. A problem
Geometric_constraint_solving
Form of automated planning and scheduling
preference, pref1. In the area of constraint satisfaction problems, flexible variants exist that deal with soft constraints in a similar way to preferences
Preference-based_planning
Algorithms to complete a sudoku
LP problems include the set of logical rules used by humans to solve Sudokus. A Sudoku may also be modelled as a constraint satisfaction problem. In
Sudoku_solving_algorithms
Quantum Merlin Arthur
quantum computation. k-local Hamiltonians problems are analogous to classical Constraint Satisfaction Problems. The following table illustrates the analogous
QMA
transformation reformulates a constraint satisfaction problem in such a way all constraints have at most two variables. The new problem is satisfiable if and
Hidden_transformation
Any algorithm which solves the search problem
large as possible. The nurse scheduling problem Problems in constraint satisfaction, such as: The map coloring problem Filling in a sudoku or crossword puzzle
Search_algorithm
Topics referred to by the same term
transformation, in computer science, a way to transform a generic constraint satisfaction problem into a binary one by introducing new hidden variables Hidden-variable
Hidden_variable
processes rather than (or in addition to) solving constraint satisfaction problems. Goals in constraint logic programming are evaluated concurrently; a
Concurrent constraint logic programming
Concurrent_constraint_logic_programming
Theorem in computational complexity theory
states that the maximum fraction of satisfiable constraints of a certain constraint satisfaction problem is NP-hard to approximate within some constant
PCP_theorem
Branch of artificial intelligence
concurrent computation Applications of artificial intelligence Constraint satisfaction problem – Set of objects whose state must satisfy limits International
Automated planning and scheduling
Automated_planning_and_scheduling
Overview of and topical guide to algorithms
Broyden–Fletcher–Goldfarb–Shanno algorithm Lagrange multiplier Constraint satisfaction problem Local search (optimization) Hill climbing Tabu search Genetic
Outline_of_algorithms
On domino tiling after removing two corners
theorem, so no matching exists. The problem can also be solved by formulating it as a constraint satisfaction problem, and applying semidefinite programming
Mutilated_chessboard_problem
Logic problem, AND of pairwise ORs
Boolean satisfiability problem, which can involve constraints on more than two variables, and of constraint satisfaction problems, which can allow more
2-satisfiability
Chinese-American computer scientist
computational counting problems, especially counting graph homomorphisms, counting constraint satisfaction problems, and Holant problems as related to holographic
Jin-Yi_Cai
French computer scientist
uncertainty, modeled as constraint satisfaction and flexible or fuzzy constraint satisfaction problems, and applied to problems in operations research
Hélène_Fargier
Mapping of mathematical formulas to a particular meaning
such homomorphism exists. Every constraint satisfaction problem (CSP) has a translation into the homomorphism problem. Therefore, the complexity of CSP
Structure (mathematical logic)
Structure_(mathematical_logic)
Software for a class of mathematical problems
solvers Constraint satisfaction problems Shortest path problems Minimum spanning tree problems Combinatorial optimization Game solvers for problems in game
Solver
Data structure for anagram solving
the letters in the given input string. These problems are classified as Constraint satisfaction problem in computer science literature. An anatree is
Anatree
Solution process for some optimization problems
optimization problem where some of the constraints are not linear equalities or the objective function is not a linear function. An optimization problem is one
Nonlinear_programming
Examining complex systems as a whole
study, as in feedback control systems, in stability theory, in constraint satisfaction problems, the unification algorithm, type inference, and so forth. Systems
Systems_thinking
Chinese-American computer scientist
was titled Reinforcement Planning for Resource Allocation and Constraint Satisfaction. He developed a mathematical model that can reveal fake advertising
Bing_Liu_(computer_scientist)
Type of software system
and algorithms. Constraint solvers solve constraint satisfaction problems (CSPs). They support constraint programming. A constraint is a which must be
Reasoning_system
to choose the order of values to assign to it. In a general constraint satisfaction problem, every variable can take a value in a domain. A backtracking
Look-ahead_(backtracking)
On the complexity classes of problems about satisfying a subset of boolean relations
approximating an optimal solution to a problem defined by S. Given a set S of clauses, the Max constraint satisfaction problem (CSP) is to find the maximum number
Max/min CSP/Ones classification theorems
Max/min_CSP/Ones_classification_theorems
Gecode (for Generic Constraint Development Environment) is a software library for solving Constraint satisfaction problems. It is programmed in C++ and
Gecode
2; downloadable free online. Yokoo, Makoto (2001). Distributed constraint satisfaction: Foundations of cooperation in multi-agent systems. Springer.
Cooperative distributed problem solving
Cooperative_distributed_problem_solving
Book by Stuart J. Russell and Peter Norvig
to advanced topics such as multi-agent systems, constraint satisfaction problems, optimization problems, artificial neural networks, deep learning, reinforcement
Artificial Intelligence: A Modern Approach
Artificial_Intelligence:_A_Modern_Approach
AI customization approach
knowledge from problem solving knowledge—examples thereof are the constraint satisfaction problem, the Boolean satisfiability problem, and different answer
Knowledge-based_configuration
Combinatorial reconfiguration problem
sequence of edge orientation changes can be undone. Reconfiguration problems for constraint logic, asking for a sequence of moves to connect certain states
Nondeterministic constraint logic
Nondeterministic_constraint_logic
Initial set of valid possible values
the set of all possible solutions that satisfy the problem's constraints. Constraint satisfaction is the process of finding a point in the feasible set
Feasible_region
Computer program for the Boolean satisfiability problem
Uwe (Oct 1999). "A probabilistic algorithm for k-SAT and constraint satisfaction problems" (PDF). 40th Annual Symposium on Foundations of Computer Science
SAT_solver
Topics referred to by the same term
search may refer to: Local search (constraint satisfaction), a method for problem solving in constraint satisfaction Local search (Internet), web searching
Local_search
Topics referred to by the same term
geometry Hinge decomposition of hypergraphs, used when studying constraint satisfaction problems See Hinge (surname) Hinge and Bracket, stage personae Hinges
Hinge_(disambiguation)
Operations research problem, paradigm of constrained scheduling problems
solver for nurse scheduling problem Interactive Nurse Scheduling Simulator – A live playground demonstrating constraint satisfaction heuristics for nurse rotations
Nurse_scheduling_problem
Problem of counting solutions to logic formulas
computer science, the Sharp Satisfiability Problem (sometimes called Sharp-SAT, #SAT or model counting) is the problem of counting the number of interpretations
♯SAT
Subunit of a computational problem
et al. (2000) formalize the problem of finding gap-preserving gadgets, for families of constraint satisfaction problems in which the goal is to maximize
Gadget_(computer_science)
Shape in mathematics of domino tiling
the task of tiling the Aztec diamond may be reduced to a constraint satisfaction problem formulated as a binary integer program: min ∑ 1 ≤ i ≤ m 0 ⋅
Aztec_diamond
Formalism for knowledge representation
reasoning problems to other fundamental problems in computer science (e.g., problems concerning conjunctive queries in relational databases, or constraint satisfaction
Conceptual_graph
Software for solving constraint satisfaction problems
Minion is a solver for satisfaction problems. Unlike constraint programming toolkits, which expect users to write programs in a traditional programming
Minion_(solver)
Type of cognitive architecture
spoken dialog systems, and solving NP-hard constraint satisfaction problems, and is general enough for many problem solving applications. FORR does not have
FORR
difference-map algorithm is a search algorithm for general constraint satisfaction problems. It is a meta-algorithm in the sense that it is built from
Difference-map_algorithm
Hypothesis in computational complexity theory
other problems, similarly to the exponential time hypothesis. The unique label cover problem is a constraint satisfaction problem, where each constraint C
Computational hardness assumption
Computational_hardness_assumption
Mapping of a graph into a tree
play an important role in problems like probabilistic inference, constraint satisfaction, query optimization, and matrix decomposition. The concept of tree
Tree_decomposition
Optimization method
leximin-optimal solutions to discrete constraint-satisfaction problems: Branch and bound based on the LEXIMIN constraint - a constraint on two vectors x and y, saying
Lexicographic max-min optimization
Lexicographic_max-min_optimization
Quantum search algorithm
worst-case complexity, for 3SAT is one such example. Generic constraint satisfaction problems also see quadratic speedups with Grover. These algorithms do
Grover's_algorithm
Quantum computational theorem on problem complexity
approximability of many constraint satisfaction problems. In the quantum setting, one common analog of classical constraint satisfaction problems is the local Hamiltonian
NLTS_conjecture
Algorithm using holographic reduction
Holant problems, which generalize counting constraint satisfaction problems (#CSP). A #CSP instance is a hypergraph G=(V,E) called the constraint graph
Holographic_algorithm
In constraint satisfaction, local search is an incomplete method for finding a solution to a problem. It is based on iteratively improving an assignment
Local search (constraint satisfaction)
Local_search_(constraint_satisfaction)
In constraint satisfaction, constraint inference is a relationship between constraints and their consequences. A set of constraints D {\displaystyle D}
Constraint_inference
South Korean computer scientist
in parameterized complexity, parameterized algorithms for constraint satisfaction problems, and width parameters in graphs and matroids. She is an associate
Eun Jung Kim (computer scientist)
Eun_Jung_Kim_(computer_scientist)
techniques may be used to solve a variety of problems including shortest path and constraint satisfaction problems. A greedy approach begins by evaluating
Algorithmic_technique
Comparison between vectors
"Computing improved optimal solutions to max–min flexible constraint satisfaction problems". European Journal of Operational Research. 118 (1): 95–126
Leximin_order
Austrian computer scientist
science, and more specifically on propositional satisfiability, constraint satisfaction problems, and parameterised complexity. He is a full professor at the
Stefan_Szeider
Problem-solving technique and algorithmic paradigm
Satisfaction Problems, one can dramatically reduce the search space by means of Constraint propagation, that is efficiently implemented in Constraint
Brute-force_search
Austrian computer scientist
known that the problem of evaluating conjunctive queries on relational databases is equivalent to the constraint satisfaction problem. His work on XML
Georg_Gottlob
for solving the CNF-SAT problem Exact cover problem Min conflicts algorithm general algorithms for the constraint satisfaction Algorithm X: a nondeterministic
List_of_algorithms
Canadian philosopher (born 1950)
Karsten Verbeurgt) put forth a formalization of coherence as a constraint satisfaction problem. In this model, coherence operates over a set of representational
Paul_Thagard
Stage of electronic circuit design validation
as biasing) should be maintained, many generators use the constraint satisfaction problem (CSP) technique to solve the complex testing requirements.
Functional_verification
Toolkit for distributed computing
environment. Meta Scheduling Grid (MSG) is used for solving constraint satisfaction problems. Grid Reality and Simulation (GRAS) simulates deployable distributed
SimGrid
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