Inclusion Constraints over Non-Empty Sets of Trees
 Autor: Joachim Niehren and Martin Müller and Andreas
Podelski 
Herausgeber: Max Dauchet
We present a new constraint system called Ines. Its
constraints are
 conjunctions of inclusions $t_1\subseteq t_2$
 between first-order terms
 (without set operators) which are interpreted over non-empty sets of
 trees. The existing systems of set constraints can express Ines
 constraints only if they include negation. Their satisfiability
 problem is NEXPTIME-complete. We present an incremental
 algorithm that solves the satisfiability problem of Ines
 constraints in cubic time. We intend to apply Ines constraints for
 type analysis for a concurrent constraint programming language.
 
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