Formal Verification of NTRUEncrypt Scheme

In this paper we explore a mechanized verification of the NTRUEncrypt scheme, with the formal proof system Isabelle/HOL. More precisely, the functional correctness of this algorithm, in its reduced form, is formally verified with computer support. We show that this scheme is correct what is a necessary condition for the usefulness of any cryptographic encryption scheme. Besides, we present a convenient and application specific formalization of the NTRUEncrypt scheme in the Isabelle/HOL system that can be used in further study around the functional and security analysis of NTRUEncrypt family. Index Terms—Public key encryption, Lattice, NTRUEncrypt, Formal proof system, Higher order logic, Formal verification, Isabelle/HOL, Theorem proving, Proof assistant.