solution_sequences.pl  Modify solution sequences
The meta predicates of this library modify the sequence of solutions of a goal. The modifications and the predicate names are based on the classical database operations DISTINCT, LIMIT, OFFSET, ORDER BY and GROUP BY.
These predicates were introduced in the context of the SWISH Prolog browserbased shell, which can represent the solutions to a predicate as a table. Notably wrapping a goal in distinct/1 avoids duplicates in the result table and using order_by/2 produces a nicely ordered table.
However, the predicates from this library can also be used to stay
longer within the clean paradigm where nondeterministic predicates are
composed from simpler nondeterministic predicates by means of
conjunction and disjunction. While evaluating a conjunction, we might
want to eliminate duplicates of the first part of the conjunction. Below
we give both the classical solution for solving variations of (a(X)
,
b(X)
) and the ones using this library sidebyside.
 Avoid duplicates of earlier steps

setof(X, a(X), Xs), distinct(a(X)), member(X, Xs), b(X) b(X).
Note that the distinct/1 based solution returns the first result of
distinct(a(X))
immediately after a/1 produces a result, while the setof/3 based solution will first compute all results of a/1.  Only try
b(X)
only for the top10a(X)

setof(X, a(X), Xs), limit(10, order_by([desc(X)], a(X))), reverse(Xs, Desc), b(X) first_max_n(10, Desc, Limit), member(X, Limit), b(X)
Here we see power of composing primitives from this library and staying within the paradigm of pure nondeterministic relational predicates.
 distinct(:Goal)
 distinct(?Witness, :Goal)
 True if Goal is true and no previous solution of Goal bound
Witness to the same value. As previous answers need to be
copied, equivalence testing is based on term variance (=@=/2).
The variant distinct/1 is equivalent to
distinct(Goal,Goal)
.If the answers are ground terms, the predicate behaves as the code below, but answers are returned as soon as they become available rather than first computing the complete answer set.
distinct(Goal) : findall(Goal, Goal, List), list_to_set(List, Set), member(Goal, Set).
 reduced(:Goal)
 reduced(?Witness, :Goal, +Options)
 Similar to distinct/1, but does not guarantee unique results in
return for using a limited amount of memory. Both distinct/1 and
reduced/1 create a table that block duplicate results. For
distinct/1, this table may get arbitrary large. In contrast,
reduced/1 discards the table and starts a new one of the table size
exceeds a specified limit. This filter is useful for reducing the
number of answers when processing large or infinite long tail
distributions. Options:
 size_limit(+Integer)
 Max number of elements kept in the table. Default is 10,000.
 limit(+Count, :Goal)
 Limit the number of solutions. True if Goal is true, returning at most Count solutions. Solutions are returned as soon as they become available.
 offset(+Count, :Goal)
 Ignore the first Count solutions. True if Goal is true and produces more than Count solutions. This predicate computes and ignores the first Count solutions.
 order_by(Spec, Goal)
 Order solutions according to Spec. Spec is a list of terms,
where each element is one of. The ordering of solutions of Goal
that only differ in variables that are not shared with Spec is
not changed.
 asc(Term)
 Order solution according to ascending Term
 desc(Term)
 Order solution according to descending Term
 join_orders(+SpecIn, SpecOut) is det[private]
 Merge subsequent asc and desc sequences. For example,
[
asc(v(A))
,asc(v(B))
] becomes [asc(v(A,B))
].  non_witness_template(+Goal, +Witness, Template) is det[private]
 Create a template for the bindings that are not part of the witness variables.
 group_by(+By, +Template, :Goal, Bag) is nondet
 Group bindings of Template that have the same value for By. This predicate is almost the same as bagof/3, but instead of specifying the existential variables we specify the free variables. It is provided for consistency and complete coverage of the common database vocabulary.
 distinct(:Goal)
 distinct(?Witness, :Goal)
 True if Goal is true and no previous solution of Goal bound
Witness to the same value. As previous answers need to be
copied, equivalence testing is based on term variance (=@=/2).
The variant distinct/1 is equivalent to
distinct(Goal,Goal)
.If the answers are ground terms, the predicate behaves as the code below, but answers are returned as soon as they become available rather than first computing the complete answer set.
distinct(Goal) : findall(Goal, Goal, List), list_to_set(List, Set), member(Goal, Set).
 reduced(:Goal)
 reduced(?Witness, :Goal, +Options)
 Similar to distinct/1, but does not guarantee unique results in
return for using a limited amount of memory. Both distinct/1 and
reduced/1 create a table that block duplicate results. For
distinct/1, this table may get arbitrary large. In contrast,
reduced/1 discards the table and starts a new one of the table size
exceeds a specified limit. This filter is useful for reducing the
number of answers when processing large or infinite long tail
distributions. Options:
 size_limit(+Integer)
 Max number of elements kept in the table. Default is 10,000.