Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Proof by coupling is a classical proof technique for establishing probabilistic properties of two probabilistic processes, like stochastic dominance and rapid mixing of Markov chains. More recently, couplings have been investigated as a useful abstraction for formal reasoning about relational properties of probabilistic programs, in particular for modeling reduction-based cryptographic proofs and for verifying differential privacy. ,  demonstrate that probabilistic couplings can be used for verifying non-relational probabilistic properties. Specifically,  show that the program logic pRHL---whose proofs are formal versions of proofs by coupling---can be used for formalizing uniformity and probabilistic independence.  formally verify our main examples using the EasyCrypt proof assistant.
['Gilles Barthe', 'Thomas Espitau', 'Benjamin Grégoire', 'Justin Hsu', 'Pierre-Yves Strub']
I am writing a research paper on a idea Proving uniformity and independence by self-composition and coupling
[{"from": "human", "value": "I am writing a research paper on a idea Proving uniformity and independence by self-composition and coupling"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Proof by coupling is a classical proof technique for establishing probabilistic properties of two probabilistic processes, like stochastic dominance and rapid mixing of Markov chains. More recently, couplings have been investigated as a useful abstraction for formal reasoning about relational properties of probabilistic programs, in particular for modeling reduction-based cryptographic proofs and for verifying differential privacy. ,  demonstrate that probabilistic couplings can be used for verifying non-relational probabilistic properties. Specifically,  show that the program logic pRHL---whose proofs are formal versions of proofs by coupling---can be used for formalizing uniformity and probabilistic independence.  formally verify our main examples using the EasyCrypt proof assistant."}]