Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show how PVS-style predicate subtyping can be simulated in HOL using predicate sets, and explain how to perform subtype checking using this model.  illustrate some applications of this to specification and verification in HOL, and also demonstrate some limits of the approach. Finally  report on the effectiveness of a subtype checker used as a condition prover in a contextual rewriter.
['Joe Hurd']
I am writing a research paper on a idea Predicate Subtyping with Predicate Sets
[{"from": "human", "value": "I am writing a research paper on a idea Predicate Subtyping with Predicate Sets"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show how PVS-style predicate subtyping can be simulated in HOL using predicate sets, and explain how to perform subtype checking using this model.  illustrate some applications of this to specification and verification in HOL, and also demonstrate some limits of the approach. Finally  report on the effectiveness of a subtype checker used as a condition prover in a contextual rewriter."}]