Computationally sound verification of source code

Michael Backes, Matteo Maffei, Dominique Unruh
2010 Proceedings of the 17th ACM conference on Computer and communications security - CCS '10  
Increasing attention has recently been given to the formal verification of the source code of cryptographic protocols. The standard approach is to use symbolic abstractions of cryptography that make the analysis amenable to automation. This leaves the possibility of attacks that exploit the mathematical properties of the cryptographic algorithms themselves. In this paper, we show how to conduct the protocol analysis on the source code level (F# in our case) in a computationally sound way, i.e.,
more » ... taking into account cryptographic security definitions. We build upon the prominent F7 verification framework (Bengtson et al., CSF 2008) which comprises a security typechecker for F# protocol implementations using symbolic idealizations and the concurrent lambda calculus RCF to model a core fragment of F#. To leverage this prior work, we give conditions under which symbolic security of RCF programs using cryptographic idealizations implies computational security of the same programs using cryptographic algorithms. Combined with F7, this yields a computationally sound, automated verification of F# code containing public-key encryptions and signatures. For the actual computational soundness proof, we use the CoSP framework (Backes, Hofheinz, and Unruh, CCS 2009). We thus inherit the modularity of CoSP, which allows for easily extending our proof to other cryptographic primitives. Our result. We present a computational soundness result for F# code. For this, we use the RCF calculus proposed by [16] as semantics for (a core fragment of) F#. RCF allows for encoding implementation in F# by offering a lambda-abstraction constructor that allows for reasoning about higher-order languages. Moreover, it supports
doi:10.1145/1866307.1866351 dblp:conf/ccs/BackesMU10 fatcat:blfl4nf2wrdcpkzfbxy24vmk2q