A refined operational semantics for FreeCHR

Constraint Handling Rules (CHR) is a rule-based programming language that which is typically embedded into a general-purpose language with a plethora of implementations. However, the existing implementations often re-invent the way to embed CHR, which impedes maintenance and weakens assertions of correctness. To formalize and thereby unify the embedding of CHR into arbitrary host languages, we recently introduced the framework FreeCHR and proved it to be a valid representation of classical CHR. Until now, this framework only includes a translation of the very abstract operational semantics of CHR which, due to its abstract nature, introduces several practical issues. In this paper we present a definition of the refined operational semantics for FreeCHR and prove it to be both, a valid concretization of the very abstract semantics of FreeCHR, and an equivalent representation of the refined semantics of CHR. This will establish implementations of FreeCHR as equivalent in behavior and expressiveness to existing implementations of CHR. This is an extended preprint of a paper submitted to the the 41st International Conference on Logic Programming.