Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The lambda-Pi calculus can be extended with rewrite rules to embed any other functional pure type system. The normalization and conserva-tivity properties of the embedding is an open problem. ,  show that the embedding is conservative.  define an inverse translation into a pure type system completion and show that the completion is con-servative using the reducibility method. This result further justifies the use of the lambda-Pi calculus modulo rewriting as a logical framework.
['Ali Assaf']
I am writing a research paper on a idea Conservativity of embeddings in the lambda Pi calculus modulo rewriting (long version)
[{"from": "human", "value": "I am writing a research paper on a idea Conservativity of embeddings in the lambda Pi calculus modulo rewriting (long version)"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The lambda-Pi calculus can be extended with rewrite rules to embed any other functional pure type system. The normalization and conserva-tivity properties of the embedding is an open problem. ,  show that the embedding is conservative.  define an inverse translation into a pure type system completion and show that the completion is con-servative using the reducibility method. This result further justifies the use of the lambda-Pi calculus modulo rewriting as a logical framework."}]