Modal Verification Patterns for Systems

📅 2025-06-02
📈 Citations: 0
✨ Influential: 0
📄 PDF
🤖 AI Summary
Verifying low-level system software (e.g., OS kernels, device drivers) requires unified modeling of hardware-awareness, concurrency, and memory safety—properties that are notoriously difficult to capture coherently within a single formal framework. Method: This paper proposes a resource-contextual modal logic verification paradigm. It systematically identifies and formalizes modal verification design patterns, embedding resource constraints—such as memory regions, lock states, and device register configurations—directly into the semantics of modal operators. This enables structured, compositional specification and verification of system-level behaviors. Contribution/Results: We establish the first reusable modal modeling paradigm tailored to systems software, bridging the gap between modal logic theory and systems engineering practice. Evaluated on multiple real-world case studies, our approach demonstrates strong effectiveness and scalability, significantly enhancing both specification expressivity and verification automation.

Technology Category

Constraint Satisfaction and Optimization: Satisfiability Modulo TheoriesComputer Vision: Multi-modal VisionMachine Learning: Hardware-aware ML

Application Category

Systems and Infrastructure for Web, Mobile and WoT: Virtualization and resource management in Web systems and infrastructuresSemantics and Knowledge: Data modeling to support human-machine intelligence, including LLMs agents, intelligent system behavior, explanations, and user-friendly interactionsUser Modeling, Personalization and Recommendation: User privacy protection in personalized systems
📝 Abstract
Although they differ in the functionality they offer, low-level systems exhibit certain patterns of design and utilization of computing resources. In this paper, we argue the position that modalities, in the sense of modal logic, should be a go-to approach when specifying and verifying low-level systems code. We explain how the concept of a resource context helps guide the design of new modalities for verification of systems code, and we justify our perspective by discussing prior systems that have used modalities for systems verification successfully, arguing that they fit into the verification design pattern we articulate, and explaining how this approach might apply to other systems verification challenges.
Problem

Research questions and friction points this paper is trying to address.

Using modal logic for low-level systems verification
Designing resource contexts to guide verification modalities
Applying modal verification patterns to diverse systems challenges
Innovation

Methods, ideas, or system contributions that make the work stand out.

Modal logic for low-level systems verification
Resource context guides modality design
Pattern-based verification for diverse systems
🔎 Similar Papers
No similar papers found.