The constraint language for lambda structures

M Egg, A Koller, J Niehren - Journal of Logic, Language and Information, 2001 - Springer
This paper presents the Constraint Language for Lambda Structures (CLLS), a first-order
language for semantic underspecification thatconservatively extends dominance constraints …

Conjunctive queries over trees

G Gottlob, C Koch, KU Schulz - Journal of the ACM (JACM), 2006 - dl.acm.org
We study the complexity and expressive power of conjunctive queries over unranked
labeled trees represented using a variety of structure relations such as “child”,“descendant” …

Context unification is in PSPACE

A Jeż - International Colloquium on Automata, Languages …, 2014 - Springer
Contexts are terms with one 'hole', ie a place in which we can substitute an argument. In
context unification we are given an equation over terms with variables representing contexts …

A decision algorithm for stratified context unification

M Schmidt‐Schauß - Journal of Logic and Computation, 2002 - academic.oup.com
Context unification is a variant of second‐order unification and also a generalization of string
unification. Currently it is not known whether context unification is decidable. An expressive …

Solvability of context equations with two context variables is decidable

M Schmidt-Schauß, KU Schulz - Journal of Symbolic Computation, 2002 - Elsevier
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 …

Decidability of bounded second order unification

M Schmidt-Schauß - Information and Computation, 2004 - Elsevier
It is well-known that first order unification is decidable, whereas second order (and higher-
order) unification is undecidable. Bounded second order unification is second order …

Unification and matching on compressed terms

A Gascón, G Godoy, M Schmidt-Schauß - ACM Transactions on …, 2011 - dl.acm.org
Term unification plays an important role in many areas of computer science, especially in
those related to logic. The universal mechanism of grammar-based compression for terms …

A decision algorithm for distributive unification

M Schmidt-Schauβ - Theoretical Computer Science, 1998 - Elsevier
The purpose of this paper is to describe a decision algorithm for unifiability of equations wrt
the equational theory D of two distributive axioms: x∗(y+ z)= x∗ y+ x∗ z and (x+ y)∗ z= x∗ …

Linear second-order unification and context unification with tree-regular constraints

J Levy, M Villaret - International Conference on Rewriting Techniques and …, 2000 - Springer
Abstract Linear Second-Order Unification and Context Unification are closely related
problems. However, their equivalence was never formally proved. Context unification is a …

On the complexity of bounded second-order unification and stratified context unification

J Levy, M Schmidt-Schauß, M Villaret - Logic Journal of IGPL, 2011 - academic.oup.com
Abstract Bounded Second-Order Unification is a decidable variant of undecidable Second-
Order Unification. Stratified Context Unification is a decidable restriction of Context …