Automated Verification of Concurrent Search Structures

Siddharth Krishna, Nisarg Patel, Dennis Shasha, Thomas Wies

• Publisher: Springer
• Year: 2022
• ISBN:
  9783031018060
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

Search structures support the fundamental data storage primitives on key-value pairs: insert a pair, delete by key, search by key, and update the value associated with a key. Concurrent search structures are parallel algorithms to speed access to search structures on multicore and distributed servers. These sophisticated algorithms perform fine-grained synchronization between threads, making them notoriously difficult to design correctly. Indeed, bugs have been found both in actual implementations and in the designs proposed by experts in peer-reviewed publications. The rapid development and deployment of these concurrent algorithms has resulted in a rift between the algorithms that can be verified by the state-of-the-art techniques and those being developed and used today. The goal of this book is to show how to bridge this gap in order to bring the certified safety of formal verification to high-performance concurrent search structures. Similar techniques and frameworks can be applied to concurrent graph and network algorithms beyond search structures.

Table of contents

• Cover
• Copyright Page
• Title Page
• Contents
• Acknowledgments
• Introduction
• Preliminaries
• Separation Logic
• Ghost State
• The Keyset Resource Algebra
• The Edgeset Framework for Single-Copy Structures
• The Flow Framework
• Verifying Single-Copy Concurrent Search Structures
• Verifying Multicopy Structures
• The Edgeset Framework for Multicopy Structures
• Reasoning about Non-Static and Non-Local Linearization Points
• Verifying the LSM DAG Template
• Proof Mechanization and Automation
• Related Work, Future Work, and Conclusion
• Bibliography
• Authors' Biographies