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- <h3 class="subsection">2.7.1 A New Operator</h3>
- <p>With regard to a set of trees as described in <a href="Raw-Material.html#Raw-Material">Raw Material</a>, we can define
- a new binary operator. Unlike the <code>cons</code> operator, this one is not
- required to associate an element of the set with every possible pair
- of elements. For very many pairs of operands we will have nothing to
- say about its result. In fact, we require nothing of it beyond
- a few simple properties to be described presently.
- </p>
- <p>Because this is the only other operator than <code>cons</code>, there is no
- <a name="index-cons-1"></a>
- need to have a special notation for it, so it will be denoted by empty
- space. The tree associated by the operator with a pair of trees <code><var>x</var></code>
- and <code><var>y</var></code>, if any, will be expressed in the infix notation
- <code><var>x</var> <var>y</var></code>. For convenience, the operator is regarded as
- being right associative, so that <code><var>a</var> <var>b</var> <var>c</var></code> can be
- written for <code><var>a</var> (<var>b</var> <var>c</var>)</code>.
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