Higher-order unification revisited: Complete sets of transformations
Journal of Symbolic Computation
Lazy narrowing: strong completeness and eager variable elimination
TAPSOFT '95 Selected papers from the 6th international joint conference on Theory and practice of software development
Term rewriting and all that
A deterministic lazy narrowing calculus
Journal of Symbolic Computation
Solving Higher-Order Equations: From Logic to Programming
Solving Higher-Order Equations: From Logic to Programming
Standardization Theorem Revisited
ALP '96 Proceedings of the 5th International Conference on Algebraic and Logic Programming
Canonical Forms and Unification
Proceedings of the 5th Conference on Automated Deduction
Leftmost outside-in narrowing calculi
Journal of Functional Programming
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We describe the results of our investigation of equational problem solving in higher-order setting. The main problem is identified to be that of reducing the search space of higher-order lazy narrowing calculi, namely how to reduce the search space without losing the completeness of the calculi. We present a higher-order calculus HOLN0 as a system of inference rules and discuss various refinements that enable the reduction of the search space by eliminating some sources of nondeterminism inherent in the calculus.