Verifying Concurrent Graph Algorithms
Authors
- Azalea Raad
- Aquinas Hobor
- Jules Villard
- Philippa Gardner
Abstract
We show how to verify four challenging concurrent finegrained graph-manipulating algorithms, including graph copy, a speculatively parallel Dijkstra, graph marking and spanning tree. We develop a reasoning method for such algorithms that dynamically tracks the contributions and responsibilities of each thread operating on a graph, even in cases of arbitrary recursive thread creation. We demonstrate how to use a logic without abstraction (CoLoSL) to carry out abstract reasoning in the style of iCAP, by building the abstraction into the proof structure rather than incorporating it into the semantic model of the logic.
Venue
Asian Symposium on Prograaming Languages and Systems (APLAS) 2016
Publication Date
Oct 2016