Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The termination method of akly monotonic algebras, which has been defined for higher-order rewriting in the HRS formalism, offers a lot of por, but has seen little use in recent years.  adapt and extend this method to the alternative formalism of algebraic functional systems, where the simply-typed lambda-calculus is combined with algebraic reduction. Using this theory,  define higher-order polynomial interpretations, and show how the implementation challenges of this technique can be tackled.#R##N#A full implementation is provided in the termination tool Wanda.
['Carsten Fuhs', 'Cynthia Kop']
I am writing a research paper on a idea Polynomial Interpretations for Higher-Order Rewriting
[{"from": "human", "value": "I am writing a research paper on a idea Polynomial Interpretations for Higher-Order Rewriting"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The termination method of akly monotonic algebras, which has been defined for higher-order rewriting in the HRS formalism, offers a lot of por, but has seen little use in recent years.  adapt and extend this method to the alternative formalism of algebraic functional systems, where the simply-typed lambda-calculus is combined with algebraic reduction. Using this theory,  define higher-order polynomial interpretations, and show how the implementation challenges of this technique can be tackled.#R##N#A full implementation is provided in the termination tool Wanda."}]