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'''Constraint Handling Rules''' ('''CHR''') is a [[declarative programming|declarative]], rule-based [[programming language|language]], introduced in 1991 by Thom Frühwirth at the time with ECRC (European Computer-Industry Research Centre) in Munich, Germany.<ref>Thom Frühwirth. ''Introducing Simplification Rules''. Internal Report ECRC-LP-63, ECRC Munich, Germany, October 1991, Presented at the Workshop Logisches Programmieren, Goosen/Berlin, Germany, October 1991 and the Workshop on Rewriting and Constraints, Dagstuhl, Germany, October 1991.</ref><ref name="chrtheorypractice">Thom Frühwirth. ''Theory and Practice of Constraint Handling Rules''. Special Issue on Constraint Logic Programming (P. Stuckey and K. Marriott, Eds.), Journal of Logic Programming, Vol 37(1-3), October 1998. {{doi|10.1016/S0743-1066(98)10005-5}}</ref> Originally intended for [[constraint programming]], CHR finds applications in [[grammar induction]],<ref>Dahl, Veronica, and J. Emilio Miralles. "[https://lirias.kuleuven.be/bitstream/123456789/360286/1/CW624.pdf#page=40 Womb grammars: Constraint solving for grammar induction]." Proceedings of the 9th Workshop on Constraint Handling Rules. vol. Technical report CW. Vol. 624. 2012.</ref> [[type system]]s,<ref>
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 programming|non-deterministic]],<ref name="timegoesby">{{Cite journal | doi = 10.1017/S1471068409990123| title = As time goes by: Constraint Handling Rules – A Survey of CHR Research between 1998 and 2007| journal = Theory and Practice of Logic Programming| volume = 10| pages = 1| year = 2009| last1 = Sneyers | first1 = Jon| last2 = Van Weert | first2 = Peter| last3 = Schrijvers | first3 = Tom| last4 = De Koninck | first4 = Leslie| url = http://dtai.cs.kuleuven.be/projects/CHR/papers/draft_chr_survey.pdf| arxiv = 0906.4474}}</ref> according to its ''abstract [[Semantics_(computer_science)|semantics]]'' and deterministic (top-down rule application), according to its ''refined semantics''.<ref name="chrbook">{{cite book |last1=Frühwirth |first1=Thom |title=Constraint handling rules |date=2009 |publisher=Cambridge University Press |isbn=0521877768}}</ref>
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