Interval Analysis for Concurrent Trace Programs Using Transaction Sequence Graphs

Concurrent trace programs (CTPs) are slices of the concurrent programs that generate the concrete program execution traces, where inter-thread event order specific to the given traces are relaxed. For such CTPs, we introduce transaction sequence graph (TSG) as a model for efficient concurrent data flow analysis. The TSG is a digraph of thread-local control nodes and edges corresponding to transactions and possible context-switches. Such a graph captures all the representative interleavings of these nodes/transactions. We use a mutually atomic transaction (MAT) based partial order reduction to construct such a TSG. We also present a non-trivial improvement to the original MAT analysis to further reduce the TSG sizes. As an application, we have used interval analysis in our experiments to show that TSG leads to more precise intervals and more time/space efficient concurrent data flow analysis than the standard models such as concurrent control flow graph.