1  Simple Goals and Queries

Schelog objects are the same as Scheme objects. However, there are two subsets of these objects that are of special interest to Schelog: goals and predicates. We will first look at some simple goals. Section 2 will introduce predicates and ways of making complex goals using predicates.

A goal is an object whose truth or falsity we can check. A goal that turns out to be true is said to succeed. A goal that turns out to be false is said to fail.

Two simple goals that are provided in Schelog are:

%true
%fail

The goal %true succeeds. The goal %fail always fails.

(The names of all Schelog primitive objects start with %. This is to avoid clashes with the names of conventional Scheme objects of related meaning. User-created objects in Schelog are not required to follow this convention.)

A Schelog user can query a goal by wrapping it in a %which-form.

(%which () %true)

evaluates to (), indicating success, whereas:

(%which () %fail)

evaluates to #f, indicating failure.

Note 1: The second subexpression of the %which-form is the empty list (). Later (sec 2.3), we will see %whiches with other lists as the second subform.

Note 2: The distinction between successful and failing goals depends on Scheme’s distinguishing #f from (). We will see later (sec 2.3.1) what to do in Scheme dialects where #f and () are identical. For the moment, we will use the annotation ()true to signal that () is being used as a true value.

Henceforth, we will use the notation:

E =>F

to say that E evaluates to F. Thus,

(%which () %true) =>()true