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Generalising Constraint Solving over Finite Domains

机译:有限域上的广义约束求解

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摘要

Finite domain constraint solvers are typically applied to problems with only quite small values. This is the case in many tasks for which constraint-based approaches are well suited. A well-known benchmark library for constraints, CSPLib ([1]), consists almost exclusively of such examples.rnOn the other hand, the need for arbitrary precision integer arithmetic is widely recognised, and many common Prolog systems provide transparent built-in support for arbitrarily large integers.rnIt thus seems natural to enhance a constraint solver over finite domains with the ability to reason over arbitrarily large integers. SICStus Prolog ([2]) already goes in that direction, using the symbolic constants inf and sup to denote default domain limits, but internally, they still correspond to quite small integers: The system yields a representation errors when these limits are exceeded.
机译:有限域约束求解器通常仅应用于值很小的问题。在很多任务中都是这种情况,基于约束的方法非常适合。众所周知,约束的基准测试库CSPLib([1])几乎完全由此类示例组成。rn另一方面,广泛认可了对任意精度整数算法的需求,并且许多常见的Prolog系统提供了透明的内置支持。因此,在有限域上增强约束求解器具有对任意大整数进行推理的能力是很自然的。 SICStus Prolog([2])已经朝这个方向发展,使用符号常量inf和sup表示默认域限制,但是在内部,它们仍然对应于非常小的整数:当超出这些限制时,系统会产生表示错误。

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