In mathematics and theoretical computer science, a set constraint is an equation or an inequation between sets of terms.
Similar to systems of (in)equations between numbers, methods are studied for solving systems of set constraints.
Different approaches admit different operators (like "∪", "∩", "\", and function application)[note 1] on sets and different (in)equation relations (like "=", "⊆", and "⊈") between set expressions.
Systems of set constraints are useful to describe (in particular infinite) sets of ground terms.[note 2]
They arise in program analysis, abstract interpretation, and type inference.
Cite error: There are <ref group=note> tags on this page, but the references will not show without a {{reflist|group=note}} template (see the help page).
mathematics and theoretical computer science, a setconstraint is an equation or an inequation between sets of terms. Similar to systems of (in)equations...
Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations...
very small number of constraints. There is always at least one constraint, and TOC uses a focusing process to identify the constraint and restructure the...
research. In constraint programming, users declaratively state the constraints on the feasible solutions for a set of decision variables. Constraints differ...
intelligence and operations research, constraint satisfaction is the process of finding a solution through a set of constraints that impose conditions that the...
satisfy the problem's constraints, potentially including inequalities, equalities, and integer constraints. This is the initial set of candidate solutions...
Constraint logic programming is a form of constraint programming, in which logic programming is extended to include concepts from constraint satisfaction...
In constraint satisfaction, local consistency conditions are properties of constraint satisfaction problems related to the consistency of subsets of variables...
maximized. Constraints can be either hard constraints, which set conditions for the variables that are required to be satisfied, or soft constraints, which...
The complexity of constraint satisfaction is the application of computational complexity theory to constraint satisfaction. It has mainly been studied...
subject to a holonomic constraint, but if the particle is able to fall off the sphere under the influence of gravity, the constraint becomes non-holonomic...
choose values for a set of variables such that the cost of a set of constraints over the variables is minimized. Distributed Constraint Satisfaction is a...
problem to be solved consists of a given set of geometric elements and a description of geometric constraints between the elements, which could be non-parametric...
finding the local maxima and minima of a function subject to equation constraints (i.e., subject to the condition that one or more equations have to be...
it. Such a system is described by a set of parameters subject to differential constraints and non-linear constraints, such that when the system evolves...
variable-vertices and the hyperedges as the sets of variable-vertices connected to each constraint-vertex. The primal constraint graph or simply primal graph (also...
Weighted Constraint Satisfaction Problem (WCSP) is a generalization of a constraint satisfaction problem (CSP) where some of the constraints can be violated...
submodular level setconstraint (also known as submodular optimization subject to submodular cover or submodular knapsack constraint) admits bounded approximation...
fulfilling a set of constraints. It simply means that it runs shortest path algorithm after pruning those links that violate a given set of constraints. A constraint...
relational databases, a foreign key is subject to an inclusion dependency constraint that the tuples consisting of the foreign key attributes in one relation...
universal constraintset, Con. Part of language acquisition can then be described as the process of adjusting the ranking of these constraints. Optimality...
first class constraint is a dynamical quantity in a constrained Hamiltonian system whose Poisson bracket with all the other constraints vanishes on the...
CHR program, sometimes called a constraint handler, is a set of rules that maintain a constraint store, a multi-set of logical formulas. Execution of...
A binary constraint, in mathematical optimization, is a constraint that involves exactly two variables. For example, consider the n-queens problem, where...