  Intuitionistic logic programming provides the notion of embedded implication
in rule bodies, which can be used to reason about a current database modified
by the antecedent. This can be applied to a system that translates SQL to
Datalog to solve SQL WITH queries, for which relations are locally defined and
can therefore be understood as added to the current database. In addition,
assumptions in SQL queries as either adding or removing data can be modelled in
this way as well, which is an interesting feature for decision-support
scenarios. This work suggests a way to apply intuitionistic logic programming
to SQL, and provides a pointer to a working system implementing this idea.
