UNIFICATION. As demonstrated in the previous section, one of the main ingredients in the inference mechanism is the process of making two atomic formulas syntactically equivalent. Be- fore defining the notion of SLD-resolution we focus on this process, called unification, and give an algorithmic solution β a procedure that takes two atomic formulas as input, and either shows how they can be instantiated to identical atoms or, reports a failure. Before considering the problem of unifying atoms (and terms), consider an ordinary equation over the natural numbers (N) such as: 2x +3 =.
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