A Lambda-Free Higher-Order Recursive Path Order [chapter]

Jasmin Christian Blanchette, Uwe Waldmann, Daniel Wand
2017 Lecture Notes in Computer Science  
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.
doi:10.1007/978-3-662-54458-7_27 fatcat:tyswf6bl3japhgppwbknvg546u