4/10/2024 0 Comments Types of logic grid puzzles![]() Sandra lives further north than Katie, who lives further east than Adam.įor using clp(fd), we need to take one more step to translate the house’s topological relations (east, west, north, south) into Integer domain.Walter lives further west than Debbie, who lives further south than Bill.Claire lives further east than Walter, who isn’t married to Mary.The puzzle states that five married couples live in houses shown on the map below. Now, we shall revisit the problem by using clp(fd) to solve this house puzzle. We described a solution using a spatial topological network of houses to support their directional relations (e.g. The previous article on “ Spatial Reasoning Explained” presented a typical spatial logic puzzle that is often found in the puzzle books. Pairs =, Water = 1, Zebra = 5, Vs = false. ?- zebra_puzzle ( Pairs, Water, Zebra, Vs ), label ( Vs ). Also, I want to point out the elegant way of representing H neighbouring house N relation by using the constraint such that the absolute positional difference must be 1. The term “Finite Domain” is just a fancy way of saying all numbers \(\in \mathbb. X + Y > 0 (where X and Y constraint that the formula has to be greater than 0, that condition must be met to resolve X and Y). ![]() X + Y (where X and Y are unconstrained).In which “relations between variables are stated in the form of constraints.” For instance, the following expressions: To illustrate how clp(fd) is a perfect fit for many combinatorics problems, we shall explore by using SWI Prolog implementation of clp(fd) to solve a few types of logic puzzle.Ĭonstraint logic programming is naturally fit into the paradigm for logic languages like Prolog, Various implementation of clp(fd) existed in different Prolog dialects but the concepts are essentially shared. I finally woke up and discovered how to use the amazing clp(fd) - Constraint Logic Programming (Finite Domain) module. Since the last article on “ Using Prolog to Solve Logic Puzzles” 4 years ago,
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