CHR meaning in Maths ?

Constraint Handling Rules (CHR) is a declarative, rule-based programming language, introduced in 1991 by Thom Frühwirth at the time with European Computer-Industry Research Centre (ECRC) in Munich, Germany. Originally intended for constraint programming, CHR finds applications in grammar induction, type systems, abductive reasoning, multi-agent systems, natural language processing, compilation, scheduling, spatial-temporal reasoning, testing, and verification.

A CHR program, sometimes called a constraint handler, is a set of rules that maintain a constraint store, a multi-set of logical formulas. Execution of rules may add or remove formulas from the store, thus changing the state of the program. The order in which rules "fire" on a given constraint store is non-deterministic, according to its abstract semantics and deterministic (top-down rule application), according to its refined semantics.

Although CHR is Turing complete, it is not commonly used as a programming language in its own right. Rather, it is used to extend a host language with constraints. Prolog is by far the most popular host language and CHR is included in several Prolog implementations, including SICStus and SWI-Prolog, although CHR implementations also exist for Haskell, Java, C, SQL, and JavaScript. In contrast to Prolog, CHR rules are multi-headed and are executed in a committed-choice manner using a forward chaining algorithm.