TitleLinear Second-Order Unification and Context Unification with Tree-Regular Constraints
Publication TypeConference Paper
Year of Publication2000
AuthorsLevy J, Villaret M
Conference NameLecture Notes in Computer Science

Linear Second-Order Unification and Context Unification are closely related problems. However, their equivalence was never formally proved. Context unification is a restriction of linear second-order unification. Here we prove that linear second-order unification can be reduced to context unification with tree-regular constraints. Decidability of context unification is still an open question. We comment on the possibility that linear second-order unification is decidable, if context unification is, and how to get rid of the tree-regular constraints. This is done by reducing rank-bound tree-regular constraints to word-regular constraints.