DAG-width of Control Flow Graphs with Applications to Model Checking [article]

Therese Biedl, Sebastian Fischmeister, Neeraj Kumar
2015 arXiv   pre-print
The treewidth of control flow graphs arising from structured programs is known to be at most six. However, as a control flow graph is inherently directed, it makes sense to consider a measure of width for digraphs instead. We use the so-called DAG-width and show that the DAG-width of control flow graphs arising from structured (goto-free) programs is at most three. Additionally, we also give a linear time algorithm to compute the DAG decomposition of these control flow graphs. One consequence
more » ... this result is that parity games (and hence the μ-calculus model checking problem), which are known to be tractable on graphs of bounded DAG-width, can be solved efficiently in practice on control flow graphs.
arXiv:1503.00793v1 fatcat:2ymtppbwkfccrmfvcb3xpu3vsu