Side-channel attacks recover confidential information from non-functional characteristics of computations, such as time or memory consumption. We describe a program analysis that uses symbolic execution to quantify the information that is leaked to an attacker who makes multiple side-channel measurements. The analysis also synthesizes the concrete public inputs (the "attack") that lead to maximum leakage, via a novel reduction to Max-SMT solving over the constraints collected with symbolic execution. Furthermore model counting and information-theoretic metrics are used to compute an attacker's remaining uncertainty about a secret after a certain number of side-channel measurements are made. We have implemented the analysis in the Symbolic PathFinder tool and applied it in the context of password checking and cryptographic functions, showing how to obtain tight bounds on information leakage under a small number of attack steps.

We present an automated approach for detecting and quantifying side channels in Java programs, which uses symbolic execution, string analysis and model counting to compute information leakage for a single run of a program. We further extend this approach to compute information leakage for multiple runs for a type of side channels called segmented oracles, where the attacker is able to explore each segment of a secret (for example each character of a password) independently. We present an efficient technique for segmented oracles that computes information leakage for multiple runs using only the path constraints generated from a single run symbolic execution. Our implementation uses the symbolic execution tool Symbolic PathFinder (SPF), SMT solver Z3, and two model counting constraint solvers LattE and ABC. Although LattE has been used before for analyzing numeric constraints, in this paper, we present an approach for using LattE for analyzing string constraints. We also extend the string constraint solver ABC for analysis of both numeric and string constraints, and we integrate ABC in SPF, enabling quantitative symbolic string analysis. CCS Concepts •Software and its engineering → Formal software verification; •Security and privacy → Logic and verification;

We present symbolic analysis techniques for detecting vulnerabilities that are due to adaptive side-channel attacks, and synthesizing inputs that exploit the identified vulnerabilities. We start with a symbolic attack model that encodes succinctly all the side-channel attacks that an adversary can make. Using symbolic execution over this model, we generate a set of mathematical constraints, where each constraint characterizes the set of secret values that lead to the same sequence of sidechannel measurements. We then compute the optimal attack, i.e, the attack that yields maximum leakage over the secret, by solving an optimization problem over the computed constraints. We use information-theoretic concepts such as channel capacity and Shannon entropy to quantify the leakage over multiple runs in the attack, where the measurements over the side channels form the observations that an adversary can use to try to infer the secret. We also propose greedy heuristics that generate the attack by exploring a portion of the symbolic attack model in each step. We implemented the techniques in Symbolic PathFinder and applied them to Java programs encoding web services, string manipulations and cryptographic functions, demonstrating how to synthesize optimal side-channel attacks.

Quantitative Information Flow (QIF) is a powerful approach to quantify leaks of confidential information in a software system. Here we present a novel method that precisely quantifies information leaks. In order to mitigate the state-space explosion problem, we propose a symbolic representation of data, and a general SMT-based framework to explore systematically the state space. Symbolic Execution fits well with our framework, so we implement a method of QIF analysis employing Symbolic Execution. We develop our method as a prototype tool that can perform QIF analysis for a software system developed in Java. The tool is built on top of Java Pathfinder, an open source model checking platform, and it is the first tool in the field to support information-theoretic QIF analysis.