Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describe a Prolog-based combined lambda term generator and type-inferrer for closed ll-typed terms of a given size, in de Bruijn notation. By taking advantage of Prolog’s unique bidirectional execution model and sound unification algorithm, our generator can build “customized” closed terms of a given type. This relational view of terms and their types enables the discovery of interesting patterns about frequently used type expressions occurring in ll-typed functional programs. Our study uncovers the most “popular” types that govern function applications among a about a million small-sized lambda terms and hints toward practical uses to combinatorial software testing. It also shows the effectiveness of Prolog as a meta-language for modeling properties of lambda terms and their types.
['Paul Tarau']
I am writing a research paper on a idea On Type-directed Generation of Lambda Terms
[{"from": "human", "value": "I am writing a research paper on a idea On Type-directed Generation of Lambda Terms"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describe a Prolog-based combined lambda term generator and type-inferrer for closed ll-typed terms of a given size, in de Bruijn notation. By taking advantage of Prolog\u2019s unique bidirectional execution model and sound unification algorithm, our generator can build \u201ccustomized\u201d closed terms of a given type. This relational view of terms and their types enables the discovery of interesting patterns about frequently used type expressions occurring in ll-typed functional programs. Our study uncovers the most \u201cpopular\u201d types that govern function applications among a about a million small-sized lambda terms and hints toward practical uses to combinatorial software testing. It also shows the effectiveness of Prolog as a meta-language for modeling properties of lambda terms and their types."}]