Probabilistic model checking (PMC) is a verification technique for analyzing the properties of probabilistic systems. However, existing techniques face challenges in verifying large systems with high accuracy. PMC struggles with state explosion , where the number of states grows exponentially with the size of the system, making large system verification infeasible. While statistical model checking (SMC) avoids PMC’s state explosion problem by using a simulation approach, it suffers from runtime explosion, requiring numerous samples for high accuracy. To address these limitations in verifying large systems with high accuracy, we present quantum probabilistic model checking (QPMC), the first method leveraging quantum computing for PMC with respect to timebounded properties. QPMC addresses state explosion by encoding PMC problems into quantum circuits that superpose states within qubits. Additionally, QPMC resolves runtime explosion through Quantum Amplitude Estimation, efficiently estimating the probabilities of specified properties. We prove that QPMC correctly solves PMC problems and achieves a quadratic speedup in time complexity compared to SMC.

Persistent memory (PM) is an emerging class of storage technology that combines the performance of DRAM with the durability of SSD, offering the best of both worlds. This had led to a surge of research on persistent objects in PM. Among such persistent objects, concurrent data structures (DSs) are particularly interesting thanks to their performance and scalability. One of the most widely used correctness criteria for persistent concurrent DSs is detectable recoverability , ensuring both thread safety (for correctness in non-crashing concurrent executions) and crash consistency (for correctness in crashing executions). However, the existing approaches to designing detectably recoverable concurrent DSs are either limited to simple algorithms or suffer from high runtime overheads. We present Memento: a general and high-performance programming framework for detectably recoverable concurrent DSs in PM. To ensure general applicability to various DSs, Memento supports primitive operations such as checkpoint and compare-and-swap and their composition with control constructs. To ensure high performance, Memento employs a timestamp-based recovery strategy that requires fewer writes and flushes to PM than the existing approaches. We formally prove that Memento ensures detectable recoverability in the presence of crashes. To showcase Memento, we implement a lock-free stack, list, queue, and hash table, and a combining queue that detectably recovers from random crashes in stress tests and performs comparably to existing hand-tuned persistent DSs with and without detectable recoverability.

Non-volatile memory (NVM) is a cutting-edge storage technology that promises the performance of DRAM with the durability of SSD. Recent work has proposed several persistency models for mainstream architectures such as Intel-x86 and Armv8, describing the order in which writes are propagated to NVM. However, these models have several limitations; most notably, they either lack operational models or do not support persistent synchronization patterns.