A complete and terminating execution model for Constraint Handling Rules

Hariolf Betz, Frank Raiser, and Thom W. Frühwirth. A complete and terminating execution model for Constraint Handling Rules. 2010, Theory and Practice of Logic Programming, 10(4-6):597-610, Article

Abstract:

We observe that the various formulations of the operational semantics of Constraint Handling Rules proposed over the years fall into a spectrum ranging from the analytical to the pragmatic. While existing analytical formulations facilitate program analysis and formal proofs of program properties, they cannot be implemented as is. We propose a novel operational semantics ω!, which has a strong analytical foundation, while featuring a terminating execution model. We prove its soundness and completeness with respect to existing analytical formulations and we provide an implementation in the form of a source-to-source transformation to CHR with rule priorities.