Pairwise Reachability Analysis for Higher Order Concurrent Programs by Higher-Order Model Checking

Abstract

We propose a sound, complete, and automatic method for pairwise reachability analysis of higher-order concurrent programs with recursion, nested locks, joins, and dynamic thread creation. The method is based on a reduction to higher-order model checking (i.e., model checking of trees generated by higher-order recursion schemes). It can be considered an extension of Gawlitz et al.’s work on the join-lock-sensitive reachability analysis for dynamic pushdown networks (DPN) to higher-order programs. To our knowledge, this is the first application of higher-order model checking to sound and complete verification of (reasonably expressive models of) concurrent programs.