24 research outputs found
Verification of Shared-Reading Synchronisers
Synchronisation classes are an important building block for shared memory
concurrent programs. Thus to reason about such programs, it is important to be
able to verify the implementation of these synchronisation classes, considering
atomic operations as the synchronisation primitives on which the
implementations are built. For synchronisation classes controlling exclusive
access to a shared resource, such as locks, a technique has been proposed to
reason about their behaviour. This paper proposes a technique to verify
implementations of both exclusive access and shared-reading synchronisers. We
use permission-based Separation Logic to describe the behaviour of the main
atomic operations, and the basis for our technique is formed by a specification
for class AtomicInteger, which is commonly used to implement synchronisation
classes in java.util.concurrent. To demonstrate the applicability of our
approach, we mechanically verify the implementation of various synchronisation
classes like Semaphore, CountDownLatch and Lock.Comment: In Proceedings MeTRiD 2018, arXiv:1806.0933
Specification and verification of atomic operations in GPGPU programs
We propose a specification and verification technique based on separation logic to reason about data race freedom and functional correctness of GPU kernels that use atomic operations as synchronisation mechanism. Our approach exploits the notion of resource invariant from Concurrent Separation Logic (CSL) to capture the behaviour of atomic operations. However, because of the different memory levels in the GPU architecture, we adapt this notion of resource invariant to these memory levels, i.e., group resource invariants capture the behaviour of atomic operations that access locations in local memory, while kernel resource invariants capture the behaviour of atomic operations that access locations in global memory. We show soundness of our approach and we provide tool support that enables us to verify kernels from standard benchmarks suites
A Concurrent Logical Relation
Abstract—We present a logical relation for showing the correctness of program transformations based on a new type-and-effect system for a concurrent extension of an ML-like language with higher-order functions, higher-order store and dynamic memory allocation. We show how to use our model to verify a number of interesting program transformations that rely on effect annotations. In particular, we prove a Parallelization Theorem, which expresses when it is sound to run two expressions in parallel instead of sequentially. The conditions are expressed solely in terms of the types and effects of the expressions. To the best of our knowledge, this is the first such result for a concurrent higher-order language with higher-order store and dynamic memory allocation. I
Towards Concurrent Quantitative Separation Logic
In this paper, we develop a novel verification technique to reason about programs featuring concurrency, pointers and randomization. While the integration of concurrency and pointers is well studied, little is known about the combination of all three paradigms. To close this gap, we combine two kinds of separation logic - Quantitative Separation Logic and Concurrent Separation Logic - into a new separation logic that enables reasoning about lower bounds of the probability to realise a postcondition by executing such a program