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Term indexing supports the construction of efficient automated reasoning systems by providing rapid access to first-order predicate calculus terms with specific properties. Advances in term indexing had great impact on the design and on the performance of automated reasoning systems in the last decade.
In this preliminary chapter we will focus on four different subjects. First, we present rules. They will be used throughout this work for defining functions in an elegant and simple way. In the second section the standard notions for first-order logic are introduced [CL73]. This introduction is quite short, we merely present the notations we shall need. As the standard notations for logic are used,...
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