A Lambda-Free Higher-Order Recursive Path Order
نویسندگان
چکیده
We generalize the recursive path order (RPO) to higher-order terms without λ-abstraction. This new order fully coincides with the standard RPO on first-order terms also in the presence of currying, distinguishing it from previous work. It has many useful properties, including well-foundedness, transitivity, stability under substitution, and the subterm property. It appears promising as the basis of a higher-order superposition calculus.
منابع مشابه
Formalization of Recursive Path Orders for Lambda-Free Higher-Order Terms
This Isabelle/HOL formalization de nes recursive path orders (RPOs) for higher-order terms without λ-abstraction and proves many useful properties about them. The main order fully coincides with the standard RPO on rst-order terms also in the presence of currying, distinguishing it from previous work. An optimized variant is formalized as well. It appears promising as the basis of a higher-orde...
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