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An ''index term'' is a word or expression'','' which may be [[stemming|stemmed]], describing or characterizing a document, such as a keyword given for a journal article. Let<math display="block">T = \{t_1, t_2,\ ...,\ t_m\}</math>be the set of all such index terms.
A ''document'' is any subset of <math>T</math>. Let
A ''query'' is a Boolean expression <math display="inline">Q</math> in a normal form:<math display="block">Q = (W_1\ \or\ W_2\ \or\ \ldots) \and\ \ldots\ \and\ (W_i\ \or\ W_{i+1}\ \or\ \ldots)</math>where <math display="inline">W_i</math> is true for <math>D_j</math> when <math>t_i \in D_j</math> (Equivalently, <math display="inline">Q</math> could be expressed in a [[disjunctive normal form]].)
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