By Thom Frühwirth

Constraint dealing with principles (CHR) is either a theoretical formalism in accordance with common sense and a realistic programming language in keeping with principles. This ebook, written by way of the author of CHR, describes the idea of CHR and the way to take advantage of it in perform. it really is supported by means of an internet site containing instructing fabrics, on-line demos, and unfastened downloads of the language. After a easy educational, the writer describes intimately the CHR language and discusses assured homes of CHR courses. the writer then compares CHR with different formalisms and languages and illustrates the way it can seize their crucial beneficial properties. ultimately, better courses are brought and analyzed intimately. The e-book is perfect for graduate scholars and teachers, and for more matured programmers and researchers, who can use it for self-study. workouts with chosen options, and bibliographic comments are incorporated on the ends of chapters. The publication is the definitive reference at the topic.

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Extra resources for Constraint Handling Rules

Example text

If R is the relation between cities connected by direct trains, then R+ also contains cities reachable by changing trains. We can depict the relation R as a directed graph, where there is a directed edge (arc) from node (vertex) x to node y iff xRy holds. The transitive closure then corresponds to all paths in the graph. The length of the path is the number of edges in the path. We implement the relation xRy as edge constraint e(X,Y) and its transitive closure xR+ y as path constraint p(X,Y). p1 @ e(X,Y) ==> p(X,Y).

If matching succeeds and the rule has more than one head constraint, the constraint store is searched for partner constraints that match the other head constraints. Head constraints are searched from left to right, except for the ones in simpagation rules. In them, the constraints to be removed are tried before the head constraints to be kept (this is done for efficiency reasons). If the matching succeeds, the guard is checked. If there are several head constraints that match the active constraint, the rule is tried for each such matching.

In that case, the guard acts as a test that compares two such values. In general, under the abstract operational semantics of CHR, even though not necessarily in a given implementation, the guard is made out of built-in constraints that hold if they are logically implied by the current store. While in current practical implementations of CHR, a guard check will give an error or silently fail if unbound variables occur in it, the same guard check may succeed under the abstract semantics. For example, the query min(A), min(B), A=

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