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* an element of <math>G</math> is a constraint <math>C</math>, <math>G'=G \backslash \{C\}</math> and <math>S'=S \cup \{C\}</math>; in other words, a constraint can be moved from the goal to the constraint store
* an element of <math>G</math> is a literal <math>L(t_1,\ldots,t_n)</math>, there exists a clause that, rewritten using new variables, is <math>L(t_1',\ldots,t_n') :- B</math>, <math>G'</math> is <math>G</math> with <math>
* <math>S</math> and <math>S'</math> are equivalent according to the specific constraint semantics
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