Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Relational program logics have been used for mechanizing formal proofs of various cryptographic constructions. With an eye towards scaling these successes towards end-to-end security proofs for implementations of distributed systems,  present RF*, a relational extension of F*, a general-purpose higher-order stateful programming language with a verification system based on refinement types. The distinguishing feature of F* is a relational Hoare logic for a higher-order, stateful, probabilistic language. Through careful language design,  adapt the F* typechecker to generate both classic and relational verification conditions, and to automatically discharge their proofs using an SMT solver. Thus,  are able to benefit from the existing features of F*, including its abstraction facilities for modular reasoning about program fragments.  evaluate RF* experimentally by programming a series of cryptographic constructions and protocols, and by verifying their security properties, ranging from information flow to unlinkability, integrity, and privacy. Moreover,  validate the design of RF* by formalizing in Coq a core probabilistic λ calculus and a relational refinement type system and proving the soundness of the latter against a denotational semantics of the probabilistic lambda λ calculus.
['Gilles Barthe', 'Cédric Fournet', 'Benjamin Grégoire', 'Pierre-Yves Strub', 'Nikhil Swamy', 'Santiago Zanella-Béguelin']
I am writing a research paper on a idea Probabilistic relational verification for cryptographic implementations
[{"from": "human", "value": "I am writing a research paper on a idea Probabilistic relational verification for cryptographic implementations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Relational program logics have been used for mechanizing formal proofs of various cryptographic constructions. With an eye towards scaling these successes towards end-to-end security proofs for implementations of distributed systems,  present RF*, a relational extension of F*, a general-purpose higher-order stateful programming language with a verification system based on refinement types. The distinguishing feature of F* is a relational Hoare logic for a higher-order, stateful, probabilistic language. Through careful language design,  adapt the F* typechecker to generate both classic and relational verification conditions, and to automatically discharge their proofs using an SMT solver. Thus,  are able to benefit from the existing features of F*, including its abstraction facilities for modular reasoning about program fragments.  evaluate RF* experimentally by programming a series of cryptographic constructions and protocols, and by verifying their security properties, ranging from information flow to unlinkability, integrity, and privacy. Moreover,  validate the design of RF* by formalizing in Coq a core probabilistic \u03bb calculus and a relational refinement type system and proving the soundness of the latter against a denotational semantics of the probabilistic lambda \u03bb calculus."}]