#4920 2D Orthogonal Constraint Satisfaction Problems (CSPs)
#4920 2D Orthogonal Constraint Satisfaction Problems (CSPs) #4920 Tell me about 2D Orthogonal Constraint Satisfaction Problems (CSPs) A 2D Orthogonal Constraint Satisfaction Problem (CSP) is a specialized class of spatial combinatorial problem where a set of discrete two-dimensional entities (typically axis-aligned rectangles, intervals, or rectilinear polygons) must be positioned, ordered, or packed within a bounded or unbounded 2D domain such that all spatial boundaries are parallel to the Cartesian axes ( X and Y ), and a set of explicit qualitative or metric constraints is completely satisfied. Unlike continuous non-linear spatial optimization or arbitrary polygonal collision modeling, 2D orthogonal CSPs exploit the decoupling and algebraic simplicity of perpendicular axes . This makes them solvable using discrete combinatorial techniques: SAT/SMT solvers (e. g., Z3), Constraint Programming with Lazy Clause Generation (e. g., OR-Tools CP-SAT, Choco), o...