Anindya Banerjee

Merlin: specification inference for explicit information flow problems

The last several years have seen a proliferation of static and runtime analysis tools for finding security violations that are caused by explicit information flow in programs. Much of this interest has been caused by the increase in the number of vulnerabilities such as cross-site scripting and SQL injection. In fact, these explicit information flow vulnerabilities commonly found in Web applications now outnumber vulnerabilities such as buffer overruns common in type-unsafe languages such as C and C++. Tools checking for these vulnerabilities require a specification to operate. In most cases the task of providing such a specification is delegated to the user. Moreover, the efficacy of these tools is only as good as the specification. Unfortunately, writing a comprehensive specification presents a major challenge: parts of the specification are easy to miss, leading to missed vulnerabilities; similarly, incorrect specifications may lead to false positives.n This paper proposes Merlin, a new approach for automatically inferring explicit information flow specifications from program code. Such specifications greatly reduce manual labor, and enhance the quality of results, while using tools that check for security violations caused by explicit information flow. Beginning with a data propagation graph, which represents interprocedural flow of information in the program, Merlin aims to automatically infer an information flow specification. Merlin models information flow paths in the propagation graph using probabilistic constraints. A naive modeling requires an exponential number of constraints, one per path in the propagation graph. For scalability, we approximate these path constraints using constraints on chosen triples of nodes, resulting in a cubic number of constraints. We characterize this approximation as a probabilistic abstraction, using the theory of probabilistic refinement developed by McIver and Morgan. We solve the resulting system of probabilistic constraints using factor graphs, which are a well-known structure for performing probabilistic inference.n We experimentally validate the Merlin approach by applying it to 10 large business-critical Web applications that have been analyzed with CAT.NET, a state-of-the-art static analysis tool for .NET. We find a total of 167 new confirmed specifications, which result in a total of 322 additional vulnerabilities across the 10 benchmarks. More accurate specifications also reduce the false positive rate: in our experiments, Merlin-inferred specifications result in 13 false positives being removed; this constitutes a 15% reduction in the CAT.NET false positive rate on these 10 programs. The final false positive rate for CAT.NET after applying Merlin in our experiments drops to under 1%.

Verification of Information Flow and Access Control Policies with Dependent Types

We present Relational Hoare Type Theory (RHTT), a novel language and verification system capable of expressing and verifying rich information flow and access control policies via dependent types. We show that a number of security policies which have been formalized separately in the literature can all be expressed in RHTT using only standard type-theoretic constructions such as monads, higher-order functions, abstract types, abstract predicates, and modules. Example security policies include conditional declassification, information erasure, and state-dependent information flow and access control. RHTT can reason about such policies in the presence of dynamic memory allocation, deallocation, pointer aliasing and arithmetic. The system, theorems and examples have all been formalized in Coq.

Effectively-Propositional reasoning about reachability in linked data structures

This paper proposes a novel method of harnessing existing SAT solvers to verify reachability properties of programs that manipulate linked-list data structures. Such properties are essential for proving program termination, correctness of data structure invariants, and other safety properties. Our solution is complete, i.e., a SAT solver produces a counterexample whenever a program does not satisfy its specification. This result is surprising since even first-order theorem provers usually cannot deal with reachability in a complete way, because doing so requires reasoning about transitive closure. n nOur result is based on the following ideas: (1) Programmers must write assertions in a restricted logic without quantifier alternation or function symbols. (2) The correctness of many programs can be expressed in such restricted logics, although we explain the tradeoffs. (3) Recent results in descriptive complexity can be utilized to show that every program that manipulates potentially cyclic, singly- and doubly-linked lists and that is annotated with assertions written in this restricted logic, can be verified with a SAT solver. n nWe implemented a tool atop Z3 and used it to show the correctness of several linked list programs.

Mechanized verification of fine-grained concurrent programs

Efficient concurrent programs and data structures rarely employ coarse-grained synchronization mechanisms (i.e., locks); instead, they implement custom synchronization patterns via fine-grained primitives, such as compare-and-swap. Due to sophisticated interference scenarios between threads, reasoning about such programs is challenging and error-prone, and can benefit from mechanization. In this paper, we present the first completely formalized framework for mechanized verification of full functional correctness of fine-grained concurrent programs. Our tool is based on the recently proposed program logic FCSL. It is implemented as an embedded DSL in the dependently-typed language of the Coq proof assistant, and is powerful enough to reason about programming features such as higher-order functions and local thread spawning. By incorporating a uniform concurrency model, based on state-transition systems and partial commutative monoids, FCSL makes it possible to build proofs about concurrent libraries in a thread-local, compositional way, thus facilitating scalability and reuse: libraries are verified just once, and their specifications are used ubiquitously in client-side reasoning. We illustrate the proof layout in FCSL by example, outline its infrastructure, and report on our experience of using FCSL to verify a number of concurrent algorithms and data structures.

Dependent Type Theory for Verification of Information Flow and Access Control Policies

Dedicated to the memory of John C. Reynolds (1935--2013).n We present Relational Hoare Type Theory (RHTT), a novel language and verification system capable of expressing and verifying rich information flow and access control policies via dependent types. We show that a number of security policies which have been formalized separately in the literature can all be expressed in RHTT using only standard type-theoretic constructions such as monads, higher-order functions, abstract types, abstract predicates, and modules. Example security policies include conditional declassification, information erasure, and state-dependent information flow and access control. RHTT can reason about such policies in the presence of dynamic memory allocation, deallocation, pointer aliasing and arithmetic.

Specifying and Verifying Concurrent Algorithms with Histories and Subjectivity

We present a lightweight approach to Hoare-style specifications for fine-grained concurrency, based on a notion of time-stamped histories that abstractly capture atomic changes in the program state. Our key observation is that histories form a partial commutative monoid, a structure fundamental for representation of concurrent resources. This insight provides us with a unifying mechanism that allows us to treat histories just like heaps in separation logic. For example, both are subject to the same assertion logic and inference rules e.g., the frame rule. Moreover, the notion of ownership transfer, which usually applies to heaps, has an equivalent in histories. It can be used to formally represent helping--an important design pattern for concurrent algorithms whereby one thread can execute code on behalf of another. Specifications in terms of histories naturally abstract away the internal interference, so that sophisticated fine-grained algorithms can be given the same specifications as their simplified coarse-grained counterparts, making them equally convenient for client-side reasoning. We illustrate our approach on a number of examples and validate all of them ini¾?Coq.

Local Reasoning for Global Invariants, Part I: Region Logic

Dedicated to the memory of Stephen L. Bloom (1940--2010).n Shared mutable objects pose grave challenges in reasoning, especially for information hiding and modularity. This article presents a novel technique for reasoning about error-avoiding partial correctness of programs featuring shared mutable objects, and investigates the technique by formalizing a logic. Using a first-order assertion language, the logic provides heap-local reasoning about mutation and separation, via ghost fields and variables of type “region” (finite sets of object references). A new form of frame condition specifies write, read, and allocation effects using region expressions; this supports a frame rule that allows a command to read state on which the framed predicate depends. Soundness is proved using a standard program semantics. The logic facilitates heap-local reasoning about object invariants, as shown here by examples. Part II of this article extends the logic with second-order framing which formalizes the hiding of data invariants.

Modelling declassification policies using abstract domain completeness

This paper explores a three dimensional characterisation of a declassification-based non-interference policy and its consequences. Two of the dimensions consist of specifying: (a) the power of the attacker, that is, what public information a program has that an attacker can observe; and n (b) what secret information a program has that needs to be protected. n nBoth these dimensions are regulated by the third dimension: (c) the choice of program semantics, for example, trace semantics or denotational semantics, or any semantics in Cousots semantics hierarchy. n nTo check whether a program satisfies a non-interference policy, one can compute an abstract domain that over-approximates the information released by the policy and then check whether program execution can release more information than permitted by the policy. Counterexamples to a policy can be generated by using a variant of the Paige-Tarjan algorithm for partition refinement. Given the counterexamples, the policy can be refined so that the least amount of confidential information required for making the program secure is declassified.

Modular reasoning about heap paths via effectively propositional formulas

First order logic with transitive closure, and separation logic enable elegant interactive verification of heap-manipulating programs. However, undecidabilty results and high asymptotic complexity of checking validity preclude complete automatic verification of such programs, even when loop invariants and procedure contracts are specified as formulas in these logics. This paper tackles the problem of procedure-modular verification of reachability properties of heap-manipulating programs using efficient decision procedures that are complete: that is, a SAT solver must generate a counterexample whenever a program does not satisfy its specification. By (a) requiring each procedure modifies a fixed set of heap partitions and creates a bounded amount of heap sharing, and (b) restricting program contracts and loop invariants to use only deterministic paths in the heap, we show that heap reachability updates can be described in a simple manner. The restrictions force program specifications and verification conditions to lie within a fragment of first-order logic with transitive closure that is reducible to effectively propositional logic, and hence facilitate sound, complete and efficient verification. We implemented a tool atop Z3 and report on preliminary experiments that establish the correctness of several programs that manipulate linked data structures.

Local reasoning and dynamic framing for the composite pattern and its clients

The Composite design pattern is an exemplar of specification and verification challenges for sequential object-oriented programs. Region logic is a Hoare logic augmented with state dependent modifies specifications based on simple notations for object sets. Using ordinary first order logic assertions, it supports local reasoning and also the hiding of invariants on encapsulated state, in ways similar to separation logic but suited to off-the-shelf SMT solvers. This paper uses region logic to specify and verify a representative implementation of the Composite design pattern. To evaluate efficacy of the specification, it is used in verifications of several sample client programs including one with hiding. Verification is performed using a verifier for region logic built on top of an existing verification condition generator which serves as a front end to an SMT solver.