Journal of Symbolic Computation
Minimal and complete word unification
Journal of the ACM (JACM)
Simple second-order languages for which unification is undecidable
Theoretical Computer Science
Word unification and transformation of generalized equations
Journal of Automated Reasoning
Complexity of Makanin's algorithm
Journal of the ACM (JACM)
Unification in the union of disjoint equational theories: combining decision procedures
Journal of Symbolic Computation
Completion of rewrite systems with membership constraints. Part I: deduction rules
Journal of Symbolic Computation - Special issue: order-sorted rewriting
Completion of rewrite systems with membership constraints. Part II: constraint solving
Journal of Symbolic Computation - Special issue: order-sorted rewriting
A decision algorithm for distributive unification
Theoretical Computer Science - Special issue on rewriting techniques and applications
On the undecidability of second-order unification
Information and Computation - Special issue on RTA-98
forall exists*-Equational Theory of Context Unification is Pi10-Hard
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Makanin's Algorithm for Word Equations - Two Improvements and a Generalization
IWWERT '90 Proceedings of the First International Workshop on Word Equations and Related Topics
On the Exponent of Periodicity of Minimal Solutions of Context Equation
RTA '98 Proceedings of the 9th International Conference on Rewriting Techniques and Applications
Linear Second-Order Unification
RTA '96 Proceedings of the 7th International Conference on Rewriting Techniques and Applications
The First-Order Theory of One-Step Rewriting is Undecidable
RTA '96 Proceedings of the 7th International Conference on Rewriting Techniques and Applications
The First-Order Theory of One Step Rewriting in Linear Noetherian Systems is Undecidable
RTA '97 Proceedings of the 8th International Conference on Rewriting Techniques and Applications
Undecidability of the First Order Theory of One-Step Right Ground Rewriting
RTA '97 Proceedings of the 8th International Conference on Rewriting Techniques and Applications
On Equality Up-to Constraints over Finite Trees, Context Unification, and One-Step Rewriting
CADE-14 Proceedings of the 14th International Conference on Automated Deduction
Decidability of Bounded Higher-Order Unification
CSL '02 Proceedings of the 16th International Workshop and 11th Annual Conference of the EACSL on Computer Science Logic
Decidability of bounded second order unification
Information and Computation
Conjunctive queries over trees
Journal of the ACM (JACM)
Dominance constraints in stratified context unification
Information Processing Letters
Journal of Symbolic Computation
Context unification with one context variable
Journal of Symbolic Computation
Context Sequence Matching for XML
Electronic Notes in Theoretical Computer Science (ENTCS)
Decidability of bounded higher-order unification
Journal of Symbolic Computation
Unification and matching on compressed terms
ACM Transactions on Computational Logic (TOCL)
Matching with regular constraints
LPAR'05 Proceedings of the 12th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
Hi-index | 0.00 |
Context unification is a natural variant of second-order unification that represents a generalization of word unification at the same time. While second-order unification is well known to be undecidable and word unification is decidable it is currently an open question if the solvability of context equations is decidable. We show that the solvability of systems of context equations with two context variables is decidable. The context variables may have an arbitrary number of occurrences, and the equations may also contain an arbitrary number of individual variables. The result holds under the assumption that the first-order background signature is finite. Copyright 2002 Academic Press