We extend the termination proof methods based on reduction orderings to higher-order rewriting systems based on higher-order pattern matching. We accommodate, on the one hand, a weakly polymorphic, algebraic extension of Church's simply typed λ-calculus and, on the other hand, any use of eta, as a reduction, as an expansion, or as an equation. The user's rules may be of any type in this type system, either a base, functional, or weakly polymorphic type.
CitationJouannaud, J., Rubio, A. Normal higher-order termination. "ACM transactions on computational logic", 01 Març 2015, vol. 16, núm. 2, p. 13:1-13:38.
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